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1. one pipe fills in 4 hrs and another in 5hrs when they both work alternately how much time will be taken to fill the tank. 2. LCM of 3 nos is 120 which of the following no must not be their HCF a. 8 , b.24 c.12 d.24 and 30 3.two trains from the points A and B moving in opposite direction , at the point they meet the second train travels 120 kms more than the first. The speeds are 50kmph and 60kmph respectively find the distance between A and B? 4. One monkey climbs a poll at the rate of 6mts/min and fell down 3mts in the alternately. Length of the poll is 60 mts , how much time it will take to reach the top? a. 31 b.33 c.37 d.40 (ans: 37) 5.a number when multiplied by 7/18 instead of 7/8 and got the result 770 less than the actual result , find the original number? 6. The volume and the radius of both cone and sphere are equal , then find the ratio of height of the cone to the diameter of the sphere? 7. A and B started a business with 1500 and 2500 and got a profit 800 rs. Half of the profit is shared equally the remaining is shared according to their investment. Find their profits. 8. The difference between the simple interest and compound interest for 2 years? A:B =2:3 and B:C=5:6 then find A:B:C 9. an amount of 64 Rs has to become 125 in 3 years in compound interest , find the rate of interest? 10. a similar to the above problem find the time(rate of interest is given) 11. the prime no., which is greater than 6 when divide by 6 will always gives the remainder ans: 1 or 5

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1. one pipe fills in 4 hrs and another in 5hrs when they both work alternately how much time will be taken to fill the tank.

2. LCM of 3 nos is 120 which of the following no must not be their HCFa. 8 , b.24 c.12 d.24 and 30

3.two trains from the points A and B moving in opposite direction , at the point they meet the second train travels 120 kms more than the first. The speeds are 50kmph and 60kmph respectively find the distance between A and B?

4. One monkey climbs a poll at the rate of 6mts/min and fell down 3mts in the alternately. Length of the poll is 60 mts , how much time it will take to reach the top?a. 31 b.33 c.37 d.40 (ans: 37)

5.a number when multiplied by 7/18 instead of 7/8 and got the result 770 less than the actual result , find the original number?

6. The volume and the radius of both cone and sphere are equal , then find the ratio of height of the cone to the diameter of the sphere?

7. A and B started a business with 1500 and 2500 and got a profit 800 rs. Half of the profit is shared equally the remaining is shared according to their investment. Find their profits.

8. The difference between the simple interest and compound interest for 2 years?A:B =2:3 and B:C=5:6 then find A:B:C

9. an amount of 64 Rs has to become 125 in 3 years in compound interest , find the rate of interest?

10. a similar to the above problem find the time(rate of interest is given)

11. the prime no., which is greater than 6 when divide by 6 will always gives the remainderans: 1 or 5

12.Length of a rectangle is increased by 50% and breadth is decreased by 25% what is the difference in the area

13. Mr X position in a class is 13th from first and 17th from last, and 8th from the first and 13th from last in passed candidates list, then how many candidates failed in the exam

14. Two successive discounts of 20% and 15% is equal to a net discount of ..

15. A two digit number is 4 times to its sum of digits , when 9 is added to the number, the digits will get reversed. Then what is that number?Ans: 12

16. The length of the following rectangle is ’4a’ and its breadth is ’2a’. Radius of the two circles is ‘a’. Then find the ratio of total area of the rectangle to the area not covered by the two circles with in the rectangle

17. A person starts with the speed of u/1 kmph and returns with the speed of u/2 kmph, what is his average speed.

18. A cistern will be filled in 9 hrs, but becoz of an outlet it is filled in 10 hrs, if the cistern is filled, then how much time the outlet takes to empty the cistern.

19. In a right angled triangle ABC angle B = 90 , BM is the median to AC , then AB2 + BC2 (in terms of BM)

20. Three circles with same radius r are drawn with centres as three vertices of atriangle. What is the sum of areas of the intersections of these circles with the triangle.

21. X men work for X days to produce X products, then Y men can produce Y products in — days.

22. The compound interest for first and second years is 200 and 220 on a certain amount. Find the sum.

23. Marked price of a commodity is 35% above the cost price. If he gives a discount of 15%, how much he gains on the deal.

24. 5 mangoes + 4 oranges = 7 mangoes + 1 orange. Find the ratio of mango to orange.

25. A man starts a work, after some time some one joins him..like this

26. Food is sufficient for 100men for 60days. For how many days the food is sufficient for 500men?

27. If 8men 8hrs per day works for 8days get 45/- then how many men required if the work is 5hrs per day for10days they get 60/-?

28. A person sold an item at a profit of 12% .If he sold it at a loss of 12% then he would get Rs.6/- less. What is the cost price?

29. (1 1/2 /((3/4-2/5 )/(2/3+4/5))) * ((2 3/4 /((4/3-2/5 )/(5/3+6/5))) (Numbers different)

30. Avg age of X number of adults in a class is 30yrs. If 12 new adults with avg age of 32 joined with them then the avg age increases by one. Find X?

31. A sphere of radius 2cms is dropped into a cylinder of radius 4 cms containing water upto certain level. The raise in the water level is (not sure)

32. …. find the average of reciprocals of x and y :

33. In a school there are 1000 students in the year 1999. The number of studentsincreased by 20% in the year 2000. And it is increased by 15% in the year 2001. But it is decreased by 18% in 2002. Then what is the strength in 2002.

In a class composed of x girls and y boys what part of the class is composed of girlsA. y/(x + y) B. x/xy C. x/(x + y) D. y/xy (Ans.C)

What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)A. 16 B. 24 C. 30 D. 64 (Ans.D)

If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3A.0 B.1 C.-1 D.4 (Ans.B)

A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.A.Rs.90 B.Rs.1.00 C.Rs.3.00 D.Rs.8.00 (Ans.C)

There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problemsA.36 B.72 C.60 D.100 (Ans.B)

In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.How many of these studied both Latin and GreekA.0 B.3 C.4 D.5 (Ans.B)

If 13 = 13w/(1-w) ,then (2w)2 =A.1/4 B.1/2 C.1 D.2 (Ans.C)If a and b are positive integers and (a-b)/3.5 = 4/7, then(A) b < a (B) b > a (C) b = a (D) b >= a (Ans. A)

In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?A. 12 B. 20 C. 24 D. 30 (Ans. C)

M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift/A. D/(M-3) B. MD/3 C. M/(D-3) D. 3D/(M2-3M) (Ans. D)

. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?A. 7 B. 8 C. 11 D. 12 (Ans.C)

2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?A. 30 B. 40 C.58 D. 60 (Ans. B)

If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?A.-5 B. 4 C. 2 D. 8 (Ans. D)

There are 5 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe (Ans 5c1/ 9c1)

What is the selling price of a car? If the cost of the car is Rs.60 and a profit of 10% over selling price is earned (Ans: Rs 66/-)

1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen.Ans: Cannot be determined.

The price of a product is reduced by 30% . By what percentage should it be increased to make it 100% (Ans: 42.857%)

There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square. (Ans. 11/14 )

There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .Ans: 3 hours.

If M/N = 6/5,then 3M+2N = ?If p/q = 5/4 , then 2p+q= ?If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST . (Ans: 1:2 )

The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?(Ans: Rs 13.86/- )

There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes (Ans: 6c2/10c2)

To 15 lts of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol. (Ans : 15% )

A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ? (Ans : 57.50 )

If the value of x lies between 0 & 1 which of the following is the largest?(a) x b) x2 (c) ?x (d) 1/x (Ans : (d) )

If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey? Ans: 48kmph

A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay? (Ans: 6%)

An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it? (Ans: 9)

If A/B = 3/5,then 15A = ? (Ans : 9B)

Each side of a rectangle is increased by 100% .By what percentage does the area increase? (Ans : 300%)

Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance? Ans : 315 feetPerimeter of front wheel =30, back wheel = 20. If front wheel revolves 240 times. How many revolutions will the back wheel take? Ans: 360 times

20% of a 6 litre solution and 60% of 4 litre solution are mixed. What percentage of the mixture of solution(Ans: 36%)

City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population? (Ans: 130 years)

Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet? (Ans: 3/2 hours)

A person wants to buy 3 paise and 5 paise stamps costing exactly one rupee. If he buys which of the following number of stamps he won't able to buy 3 paise stamps. Ans: 9

There are 12 boys and 15 girls, How many different dancing groups can be formed with 2 boys and 3 girls.

Which of the following fractions is less than 1/3(a) 22/62 (b) 15/46 (c) 2/3 (d) 1 (Ans: (b))

There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle? Ans: 1 : 2

Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg, given that the quntities of band c are equala)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30 (Ans. (b))

In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there(a) 30 (b) 33 (c) 36 (d) none of these. (Ans. (d))

If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream ?(a) 13 km/hr (b) 26 km/hr (c) 34 km/hr (d) none of these (Ans. A)

Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)(a) 0.845 (b) 1.908 (c) 2.312 (d) 0.001 (Ans. A)

A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?(a) 3 days (b) 8/9 days (c) 4 days (d) can't say (Ans. B)

A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distancetravelled(a) 210 kms (b) 30 kms (c) 20 kms (c) none of these (Ans. B)

Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ?Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?(a) 6 (b) 8 (c) 7 (d) data insufficient (Ans. C)

A man buys 12 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 10 lts of another mixture with 30% of liquid.What is the % of water in the new mixture?

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?

Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins.If 3/4th of the tank is filled by Pipe B alone and both are opened, how much time is required by both the pipes to fill the tank completely ?

If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.(a) 40% (b) 55% (c) 35% (d) 30% (Ans. D)

A certain number of men can finish a piece of work in 10 days. If however there were 10 men less it will take 10 days more for the work to be finished. How many men were there originally?(a) 110 men (b) 130 men (c) 100 men (d) none of these (Ans. A)

In simple interest what sum amounts of Rs.1120/- in 4 years and Rs.1200/- in 5 years ?(a) Rs. 500 (b) Rs. 600 (c) Rs. 800 (d) Rs. 900 (Ans. C)

If a sum of money compound annually amounts of thrice itself in 3 years. In how many years will it become 9 times itself.(a) 6 (b) 8 (c) 10 (d) 12 (Ans A)

Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train ?(a) 100m (b) 75m (c) 120m (d) 50m (Ans B)

How many mashes are there in 1 squrare meter of wire gauge if each meshis 8mm long and 5mm wide ?(a) 2500 (b) 25000 (c) 250 (d) 250000 (Ans B)

x% of y is y% of ?(a) x/y (b) 2y (c) x (d) can't be determined Ans. C

The price of sugar increases by 20%, by what % should a housewife reduce the consumption of sugar so that expenditure on sugar can be same as before ?(a) 15% (b) 16.66% (c) 12% (d) 9% (Ans B)

A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?(a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900 (Ans C)

The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years ?

The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. % of students who are not scholarship holders.?

15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?(a) 30 (b) 20 (c) 19 (d) 29 (Ans. A)

A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?(a) 5 cms (b) 2 cms (c) 3 cms (d) 4 cms (Ans C)

A rectangular plank (2)1/2 meters wide can be placed so that it is on either side of the diagonal of a square shown below.(Figure is not available)What is the area of the plank? ( Ans :7*(2)1/2 )

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?(a) 3 (b) 4 (c) 5 (d) 6 (Ans. C)

A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father's present age ?(a) 40 yrs (b) 30 yrs (c) 50 yrs (d) none of these (Ans. A)

An article sold at a profit of 20% if both the cost price and selling price would be Rs.20/- the profit would be 10% more. What is the cost price of that article?

If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price?(a) 200/3 % (b) 200/6 % (c) 100% (d) none of these (Ans. A)

5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.a) 10 b) 7 c) 6 d) 12 (Ans 7)

A simple interest amount of rs 5000 for six month is rs 200. what is the anual rate of interest?a) 10% b) 6% c) 8% d) 9% (Ans 8%)

In objective test a correct ans score 4 marks and on a wrong ans 2 marks are ---. a student score 480 marks from 150 question. how many ans were correct?a) 120 b) 130 c) 110 d) 150 (Ans130)

An artical sold at amount of 50% the net sale price is rs 425 .what is the list price of the artical?a) 500 b) 488 c) 480 d) 510 (Ans 500)

A man leaves office daily at 7pm A driver with car comes from his home to pick him from office and bring back home.One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home. In the way he meets the car and returns home on car He reaches home 20 minutes earlier than usual. In how much time does the man reach home usually?? (Ans. 1hr 20min)

A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?Ans. 22?days

How many 1's are there in the binary form of 8*1024 + 3*64 + 3 Ans. 4

In a digital circuit which was to implement (A B) + (A)XOR(B), the designer implements (A B) (A)XOR(B) What is the probability of error in it ?

A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1.He can loose only 5 times. He is out of the game if he earns Rs 5.Find the number of ways in which this is possible? (Ans. 16)

If there are 1024*1280 pixels on a screen and each pixel can have around 16 million colors. Find the memory required for this? (Ans. 4MB)

On a particular day A and B decide that they would either speak the truth or will lie. C asks A whether he is speaking truth or lying? He answers and B listens to what he said. C then asks B what A has said B says "A says that he is a liar" What is B speaking ?(a) Truth (b) Lie (c) Truth when A lies (d) Cannot be determinedAns. (b)

1.If 2x-y=4 then 6x-3y=?(a)15(b)12(c)18(d)10

Ans. (b)2.If x=y=2z and xyz=256 then what is the value of x?

(a)12(b)8(c)16(d)6

Ans. (b)3. (1/10)18 - (1/10)20 = ?(a) 99/1020(b) 99/10(c) 0.9(d) none of theseAns. (a)4.Pipe A can fill in 20 minutes and Pipe B in 30 minsand Pipe C canempty the same in 40 mins.If all of them worktogether, find the timetaken to fill the tank(a) 17 1/7 mins(b) 20 mins(c) 8 mins(d) none of theseAns. (a)5. Thirty men take 20 days to complete a job working 9hours a day.Howmany hour a day should 40 men work to complete thejob?(a) 8 hrs(b) 7 1/2 hrs(c) 7 hrs(d) 9 hrsAns. (b)6. Find the smallest number in a GP whose sum is 38and product 1728(a) 12(b) 20(c) 8(d) none of theseAns. (c)7. A boat travels 20 kms upstream in 6 hrs and 18 kmsdownstream in 4hrs.Find the speed of the boat in still water and thespeed of thewater current?

(a) 1/2 kmph(b) 7/12 kmph(c) 5 kmph(d) none of theseAns. (b)8. A goat is tied to one corner of a square plot ofside 12m by a rope7m long.Find the area it can graze?(a) 38.5 sq.m(b) 155 sq.m(c) 144 sq.m(d) 19.25 sq.mAns. (a)9. Mr. Shah decided to walk down the escalator of atube station. Hefound that if he walks down 26 steps, he requires 30seconds toreach the bottom. However, if he steps down 34 stairshe would onlyrequire 18 seconds to get to the bottom. If the timeis measured fromthe moment the top step begins to descend to thetime he steps offthe last step at the bottom, find out the height ofthe stair way insteps?Ans.46 steps.10. The average age of 10 members of a committee isthe same as it was4 years ago, because an old member has been replacedby a youngmember. Find how much younger is the new member ?Ans.40 years.11. Three containers A, B and C have volumes a, b, andc respectively;and container A is full of water while the other twoare empty. Iffrom container A water is poured into container Bwhich becomes 1/3full, and into container C which becomes 1/2 full, howmuch water isleft in container A?12. ABCE is an isosceles trapezoid and ACDE is arectangle. AB = 10and EC = 20. What is the length of AE?Ans. AE = 10.13. In the given figure, PA and PB are tangents to thecircle at A andB respectively and the chord BC is parallel totangent PA. If AC = 6cm, and length of the tangent AP is 9 cm, then whatis the length of

the chord BC?Ans. BC = 4 cm.15 Three cards are drawn at random from an ordinarypack of cards.Find the probability that they will consist of a king,a queen and an ace.Ans. 64/2210.16. A number of cats got together and decided to killbetween them999919 mice. Every cat killed an equal number ofmice. Each catkilled more mice than there were cats. How many catsdo you thinkthere were ?Ans. 991.17. If Log2 x - 5 Log x + 6 = 0, then what would thevalue / values ofx be?Ans. x = e2 or e3.18. The square of a two digit number is divided byhalf the number.After 36 is added to the quotient, this sum is thendivided by 2.The digits of the resulting number are the same asthose in theoriginal number, but they are in reverse order. Theten's place ofthe original number is equal to twice the differencebetween itsdigits. What is the number?Ans. 4619.Can you tender a one rupee note in such a mannerthat there shallbe total 50 coins but none of them would be 2 paisecoins.?Ans. 45 one paisa coins, 2 five paise coins, 2 tenpaise coins, and 1twenty-five paise coins.20.A monkey starts climbing up a tree 20ft. tall. Eachhour, it hops3ft. and slips back 2ft. How much time would it takethe monkey toreach the top?Ans.18 hours.21. What is the missing number in this series? 8 214 6 11 ? 14 6 18 12Ans. 922. A certain type of mixture is prepared by mixingbrand A at Rs.9 akg. with brand B at Rs.4 a kg. If the mixture is worthRs.7 a kg., howmany kgs. of brand A are needed to make 40kgs. of

the mixture?Ans. Brand A needed is 24kgs.23. A wizard named Nepo says "I am only three times myson's age. Myfather is 40 years more than twice my age. Togetherthe three of usare a mere 1240 years old." How old is Nepo?Ans. 360 years old.24. One dog tells the other that there are two dogs infront of me.The other one also shouts that he too had two behindhim. How many arethey?Ans. Three.25. A man ate 100 bananas in five days, each dayeating 6 more thanthe previous day. How many bananas did he eat on thefirst day?Ans. Eight.26. If it takes five minutes to boil one egg, how longwill it take toboil four eggs?Ans. Five minutes.27. The minute hand of a clock overtakes the hour handat intervals of64 minutes of correct time. How much a day does theclock gain or lose?Ans. 32 8/11 minutes.28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2= 5/9.Ans. x = 3/2 or -3 and y = 3 or -3/2.29. Daal is now being sold at Rs. 20 a kg. During lastmonth its ratewas Rs. 16 per kg. By how much percent should a familyreduce itsconsumption so as to keep the expenditure fixed?Ans. 20 %.30. Find the least value of 3x + 4y if x2y3 = 6.Ans. 10.31. Can you find out what day of the week was January12, 1979?Ans. Friday.32. A garrison of 3300 men has provisions for 32 days,when given at arate of 850 grams per head. At the end of 7 days areinforcementarrives and it was found that now the provisions willlast 8 daysless, when given at the rate of 825 grams per head.How, many more mencan it feed?Ans. 1700 men.

33. From 5 different green balls, four different blueballs and threedifferent red balls, how many combinations of ballscan be chosentaking at least one green and one blue ball?Ans. 3720.34. Three pipes, A, B, & C are attached to a tank. A &B can fill itin 20 & 30 minutes respectively while C can empty itin 15 minutes.If A, B & C are kept open successively for 1 minuteeach, how soonwill the tank be filled?Ans. 167 minutes.35. A person walking 5/6 of his usual rate is 40minutes late. What ishis usual time? Ans. 3 hours 20 minutes.

36.For a motorist there are three ways going from CityA to City C. Byway of bridge the distance is 20 miles and toll is$0.75. A tunnelbetween the two cities is a distance of 10 miles andtoll is $1.00 forthe vehicle and driver and $0.10 for each passenger. Atwo-lanehighway without toll goes east for 30 miles to city Band then 20miles in a northwest direction to City C.

1. Which is the shortest route from B to C

(a) Directly on toll free highway to City C(b) The bridge(c) The Tunnel(d) The bridge or the tunnel(e) The bridge only if traffic is heavy on the tollfree highway

Ans. (a)

2. The most economical way of going from City A toCity B, in terms oftoll and distance is to use the

(a) tunnel(b) bridge(c) bridge or tunnel(d) toll free highway(e) bridge and highway

Ans. (a)

3. Jim usually drives alone from City C to City Aevery working day.His firm deducts a percentage of employee pay forlateness. Whichfactor would most influence his choice of the bridgeor the tunnel ?

(a) Whether his wife goes with him(b) scenic beauty on the route(c) Traffic conditions on the road, bridge and tunnel(d) saving $0.25 in tolls(e) price of gasoline consumed in covering additional10 miles on thebridge

Ans. (a)

4. In choosing between the use of the bridge and thetunnel the chieffactor(s) would be:I. Traffic and road conditionsII. Number of passengers in the carIII. Location of one's homes in the center oroutskirts of one of thecitiesIV. Desire to save $0.25

(a) I only(b) II only(c) II and III only(d) III and IV only(e) I and II only

Ans. (a)

37.The letters A, B, C, D, E, F and G, not necessarilyin that order,stand for seven consecutive integers from 1 to 10D is 3 less than AB is the middle termF is as much less than B as C is greater than DG is greater than F

1. The fifth integer is(a) A(b) C

(c) D(d) E(e) F

Ans. (a)

2. A is as much greater than F as which integer isless than G(a) A(b) B(c) C(d) D(e) E

Ans. (a)

3. If A = 7, the sum of E and G is(a) 8(b) 10(c) 12(d) 14(e) 16

Ans. (a)

4. A - F = ?(a) 1(b) 2(c) 3(d) 4(e) Cannot be determined

Ans. (a)

5. An integer T is as much greater than C as C isgreater than E. Tcan be written as A + E. What is D?(a) 2(b) 3(c) 4(d) 5(e) Cannot be determined

Ans. (a)

6. The greatest possible value of C is how muchgreater than thesmallest possible value of D?

(a) 2(b) 3(c) 4(d) 5(e) 6

Ans. (a)

38.1. All G's are H's2. All G's are J's or K's3. All J's and K's are G's4. All L's are K's5. All N's are M's6. No M's are G's

1. If no P's are K's, which of the following must betrue?

(a) All P's are J's(b) No P is a G(c) No P is an H(d) If any P is an H it is a G(e) If any P is a G it is a J

Ans. (a)

2. Which of the following can be logically deducedfrom the conditionsstated?

(a) No M's are H's(b) No M's that are not N's are H's(c) No H's are M's(d) Some M's are H's(e) All M's are H's

Ans. (a)

3. Which of the following is inconsistent with one ormore of theconditions?

(a) All H's are G's(b) All H's that are not G's are M's(c) Some H's are both M's and G's(d) No M's are H's

(e) All M's are H's

Ans. (a)

4. The statement "No L's are J's" isI. Logically deducible from the conditions statedII. Consistent with but not deducible from theconditions statedIII. Deducible from the stated conditions togetherwith the additionalstatement "No J's are K's"

(a) I only(b) II only(c) III only(d) II and III only(e) Neither I, II nor III

Ans. (a)

39.In country X, democratic, conservative and justiceparties havefought three civil wars in twenty years. TO restorestability anagreement is reached to rotate the top officesPresident, PrimeMinister and Army Chief among the parties so that eachparty controlsone and only one office at all times. The three topoffice holdersmust each have two deputies, one from each of theother parties. Eachdeputy must choose a staff composed of equally membersof his or herchiefs party and member of the third party.

1. When Justice party holds one of the top offices,which of thefollowing cannot be true

(a) Some of the staff members within that office arejustice party members(b) Some of the staff members within that office aredemocratic partymembers(c) Two of the deputies within the other offices arejustice party members(d) Two of the deputies within the other offices areconservative

party members(e) Some of the staff members within the other officesare justiceparty members.

Ans. (a)

2. When the democratic party holds presidency, thestaff of the primeminister's deputies are composedI. One-fourth of democratic party membersII. One-half of justice party members and one-fourthof conservativeparty membersIII. One-half of conservative party members andone-fourth of justiceparty members.

(a) I only(b) I and II only(c) II or III but not both(d) I and II or I and III(e) None of these

Ans. (a)

3. Which of the following is allowable under the rulesas stated:

(a) More than half of the staff within a given officebelonging to asingle party(b) Half of the staff within a given office belongingto a single party(c) Any person having a member of the same party ashis or herimmediate superior(d) Half the total number of staff members in allthree officesbelonging to a single party(e) Half the staff members in a given office belongingto partiesdifferent from the party of the top office holder inthat office.

Ans. (a)

4. The office of the Army Chief passes fromConservative to Justice

party. Which of the following must be fired.

(a) The democratic deputy and all staff membersbelonging to Justice party(b) Justice party deputy and all his or hers staffmembers(c) Justice party deputy and half of his Conservativestaff members inthe chief of staff office(d) The Conservative deputy and all of his or herstaff membersbelonging to Conservative party(e) No deputies and all staff members belonging toconservative parties.

Ans. (a)

40.In recommendations to the board of trustees atuition increase of$500 per year, the president of the university said"There were nostudent demonstrations over the previous increases of$300 last yearand $200 the year before". If the president'sstatement is accuratethen which of the following can be validly inferredfrom theinformation given:I. Most students in previous years felt that theincreases werejustified because of increased operating costs.II. Student apathy was responsible for the failure ofstudents toprotest the previous tuition increases.III. Students are not likely to demonstrate over newtuition increases.

(a) I only(b) II only(c) I or II but not both(d) I, II and III(e) None

Ans. (a)

41. The office staff of XYZ corporation presentlyconsists of threebookeepers--A, B, C and 5 secretaries D, E, F, G, H.The management isplanning to open a new office in another city using 2

bookeepers and 3secretaries of the present staff . To do so they planto seperatecertain individuals who don't function well together.The followingguidelines were established to set up the new officeI. Bookeepers A and C are constantly finding faultwith one anotherand should not be sent together to the new office as ateamII. C and E function well alone but not as a team ,they should beseperatedIII. D and G have not been on speaking terms andshouldn't go togetherIV Since D and F have been competing for promotionthey shouldn't be ateam1.If A is to be moved as one of the bookeepers,whichof the followingcannot be a possible working unit.

A.ABDEHB.ABDGHC.ABEFHD.ABEGH

Ans.B

2.If C and F are moved to the new office,how manycombinations arepossible

A.1B.2C.3D.4

Ans.A

3.If C is sent to the new office,which member of thestaff cannot gowith C

A.BB.DC.FD.G

Ans.B

4.Under the guidelines developed,which of thefollowing must go to thenew office

A.BB.DC.ED.G

Ans.A

5.If D goes to the new office,which of the followingis/are true

I.C cannot goII.A cannot goIII.H must also go

A.I onlyB.II onlyC.I and II onlyD.I and III only

Ans.D

42.After months of talent searching for anadministrative assistant tothe president of the college the field of applicantshas been narroweddown to 5--A, B, C, D, E .It was announced that thefinalist would bechosen after a series of all-day group personalinterviews wereheld.The examining committee agreed upon the followingprocedure

I.The interviews will be held once a weekII.3 candidates will appear at any all-day interviewsessionIII.Each candidate will appear at least onceIV.If it becomes necessary to call applicants foradditonalinterviews, no more 1 such applicant should be askedto appear thenext weekV.Because of a detail in the written applications,itwas agreed thatwhenever candidate B appears, A should also be

present.VI.Because of travel difficulties it was agreed that Cwill appear foronly 1 interview.1.At the first interview the following candidatesappear A,B,D.Whichof the follwing combinations can be called for theinterview to beheld next week.

A.BCDB.CDEC.ABED.ABC

Ans.B

2.Which of the following is a possible sequence ofcombinations forinterviews in 2 successive weeks

A.ABC;BDEB.ABD;ABEC.ADE;ABCD.BDE;ACD

Ans.C

3.If A ,B and D appear for the interview and D iscalled foradditional interview the following week,which 2candidates may beasked to appear with D?

I. AII BIII.CIV.EA.I and IIB.I and III onlyC.II and III onlyD.III and IV only

Ans.D

4.Which of the following correctly state(s) theprocedure followed bythe search committee

I.After the second interview all applicants haveappeared at least onceII.The committee sees each applicant a second timeIII.If a third session,it is possible for allapplicants to appear atleast twice

A.I onlyB.II onlyC.III onlyD.Both I and II

Ans.A

43. A certain city is served by subway lines A,B and Cand numbers 1 2and 3When it snows , morning service on B is delayedWhen it rains or snows , service on A, 2 and 3 aredelayed both in themorning and afternoonWhen temp. falls below 30 degrees farenheit afternoonservice iscancelled in either the A line or the 3 line,but not both.When the temperature rises over 90 degrees farenheit,the afternoonservice is cancelled in either the line C or the3 line but not both.When the service on the A line is delayed orcancelled, service on theC line which connects the A line, is delayed.When service on the 3 line is cancelled, service onthe B line whichconnects the 3 line is delayed.Q1. On Jan 10th, with the temperature at 15 degreefarenheit, itsnows all day. On how many lines will service beaffected, including both morning and afternoon.(A) 2(B) 3(C) 4(D) 5Ans. D

Q2. On Aug 15th with the temperature at 97 degreesfarenheit it beginsto rain at 1 PM. What is the minimum numberof lines on which service will be affected?(A) 2(B) 3

(C) 4(D) 5Ans. C

Q3. On which of the following occasions would servicebe on thegreatest number of lines disrupted.(A) A snowy afternoon with the temperature at 45degree farenheit(B) A snowy morning with the temperature at 45 degreefarenheit(C) A rainy afternoon with the temperature at 45degree farenheit(D) A rainy afternoon with the temperature at 95degree farenheitAns. B

44. In a certain society, there are two marriagegroups, red andbrown. No marriage is permitted within a group. Onmarriage, malesbecome part of their wives groups; women remain intheir own group.Children belong to the same group as their parents.Widowers anddivorced males revert to the group of their birth.Marriage to morethan one person at the same time and marriage to adirect descendantare forbiddenQ1. A brown female could have hadI. A grandfather born RedII. A grandmother born RedIII Two grandfathers born Brown(A) I only(B) III only(C) I, II and III(D) I and II onlyAns. D

Q2. A male born into the brown group may have(A) An uncle in either group(B) A brown daughter(C) A brown son(D) A son-in-law born into red groupAns. A

Q3. Which of the following is not permitted under therules as stated.(A) A brown male marrying his father's sister(B) A red female marrying her mother's brother(C) A widower marrying his wife's sister

(D) A widow marrying her divorced daughter'sex-husbandAns. B

Q4. If widowers and divorced males retained theirgroup they had uponmarrying which of the following would be permissible (Assume that noprevious marriage occurred)(A) A woman marrying her dead sister's husband(B) A woman marrying her divorced daughter'sex-husband(C) A widower marrying his brother's daughter(D) A woman marrying her mother's brother who is awidower.Ans. D

Q5. I. All G's are H'sII. All G's are J's or K'sIII All J's and K's are G'sIV All L's are K'sV All N's are M'sVI No M's are G's45. There are six steps that lead from the first tothe second floor.No two people can be on the same stepMr. A is two steps below Mr. CMr. B is a step next to Mr. DOnly one step is vacant ( No one standing on that step)Denote the first step by step 1 and second step bystep 2 etc.1. If Mr. A is on the first step, Which of thefollowing is true?(a) Mr. B is on the second step(b) Mr. C is on the fourth step.(c) A person Mr. E, could be on the third step(d) Mr. D is on higher step than Mr. C.Ans: (d)2. If Mr. E was on the third step & Mr. B was on ahigher step thanMr. E which step must be vacant(a) step 1(b) step 2(c) step 4(d) step 5(e) step 6Ans: (a)3. If Mr. B was on step 1, which step could A be on?(a) 2&e only(b) 3&5 only(c) 3&4 only

(d) 4&5 only(e) 2&4 onlyAns: (c)4. If there were two steps between the step that A wasstanding andthe step that B was standing on, and A was on a higherstep than D , Amust be on step(a) 2(b) 3(c) 4(d) 5(e) 6Ans: (c)

5. Which of the following is false

i. B&D can be both on odd-numbered steps in oneconfigurationii. In a particular configuration A and C must eitherboth an oddnumbered steps or both an even-numbered stepsiii. A person E can be on a step next to the vacantstep.(a) i only(b) ii only(c) iii only(d) both i and iiiAns: (c)

46. Six swimmers A, B, C, D, E, F compete in a race.The outcome is asfollows.i. B does not win.ii. Only two swimmers separate E & Diii. A is behind D & Eiv. B is ahead of E , with one swimmer interveningv. F is a head of D1. Who stood fifth in the race ?(a) A(b) B(c) C(d) D(e) EAns: (e)2. How many swimmers seperate A and F ?(a) 1(b) 2(c) 3(d) 4(e) cannot be determinedAns: (d)

3. The swimmer between C & E is(a) none(b) F(c) D(d) B(e) AAns: (a)

4. If the end of the race, swimmer D is disqualifiedby the Judgesthen swimmer B finishes in which place(a) 1(b) 2(c) 3(d) 4(e) 5Ans: (b)47. Five houses lettered A,B,C,D, & E are built in arow next to eachother. The houses are lined up in the order A,B,C,D, &E. Each of thefive houses has a colored chimney. The roof andchimney of eachhousemust be painted as follows.i. The roof must be painted either green,red ,oryellow.ii. The chimney must be painted either white, black,or red.iii. No house may have the same color chimney as thecolor of roof.iv. No house may use any of the same colors that theevery next houseuses.v. House E has a green roof.vi. House B has a red roof and a black chimney1. Which of the following is true ?(a) At least two houses have black chimney.(b) At least two houses have red roofs.(c) At least two houses have white chimneys(d) At least two houses have green roofs(e) At least two houses have yellow roofsAns: (c)2. Which must be false ?(a) House A has a yellow roof(b) House A & C have different color chimney(c) House D has a black chimney(d) House E has a white chimney(e) House B&D have the same color roof.Ans: (b)3. If house C has a yellow roof. Which must be true.(a) House E has a white chimney

(b) House E has a black chimney(c) House E has a red chimney(d) House D has a red chimney(e) House C has a black chimneyAns: (a)4. Which possible combinations of roof & chimney canhouseI. A red roof 7 a black chimneyII. A yellow roof & a red chimneyIII. A yellow roof & a black chimney

(a) I only(b) II only(c) III only(d) I & II only(e) I&II&IIIAns: (e)48. Find x+2y(i). x+y=10(ii). 2x+4y=20Ans: (b)

49. Is angle BAC is a right angle(i) AB=2BC(2) BC=1.5ACAns: (e)50. Is x greater than y(i) x=2k(ii) k=2yAns: (e)

1. There is a merry-go-round race going on.One person says,"1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race? (repeated from previous papers)

Ans: 13

[ Assume there are x participants in the race.In a round race,no: of participants in front of a person wil be x-1 an that behind him wil b x-1. i.e, 1/3(x-1) + 3/4(x-1) = x ; solving x = 13 ]

2. In an Island the natives lie and visitors speak truth. A man wants to know whether a salesman beside him in a bar is a native or visitor. He asked him to ask a woman beside him whether she is a native or visitor. He replied "she says she is a visitor". Then he knew that the salesman is a native or visitor. salesman is in which category , native or visitor?

Ans: Native

[ Draw table and see ]

3.A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him? (repeated from previous papers)

Ans: Monday

[Don't confuse it with Tuesday.the correct answer is Monday]

5.A man said he spent 1/6 of his as a child, 1/12 as salesman in a liquor shop, 1/7 and 5 years as a politician and a good husband respectively. At that time Jim was born. Jim was elected as Alderman four years back.when he was half of his age. What is his age? (repeated from previous papers)

Ans: 84 years

[Assume that he lived x years. X/6 + x/12 + x/7 + 5 + 4 + x/2 = x. Solving x= 84, Same as Question in Shakundala Devi book]

6.Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race. Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race? (repeated from previous papers)

Ans: Doug

[ Ann steps = 8,16,24,28 --- finished by 3 & half full steps

Doug steps=7,14,21,24 --- finished before 3 & half full steps

Jack steps= 6,12,18,21 --- finished by 3 & half full steps

So Doug won the race ]

7. Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.One day the cyclist comes late by 20 min. and meets the car 5miles before the Station. What is the speed of the car?

Ans: 60 mph

[Very similar to Shakuntala Devi puzzles to puzzle you problem no: 38 ]

9.A lady goes for shopping. She bought some shoestrings. 4 times the number of shoestrings, she bought pins and 8 times, handkerchiefs. She paid each item with their count as each piece's cost. She totally spent Rs. 3.24.How many handkerchiefs did she buy? (repeated from previous papers)

10. Complete the series :

a) 3,6,13,26,33,66,____(repeated from previous papers)

b) 364,361,19,16,4,1,___( " " " )

Ans: a) 63

b) 1

11. Lucia is a wonderful grandmother. Her age is between 50 and 70.Each of her sons have as many sons as they have brothers. Their combined number gives Lucia?s age. What is the age?

Ans: 64

12.There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the

same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?

Ans:90ft

13 Grass in lawn grows equally thick and in a uniform rate. It takes 40 days for 40 cows and 60 days for 30 cows to eat the whole of the grass. How many days does it take for 20 cows to do the same?

Ans: 120

13. Four tourists A,B,C,D and four languages English, German, French and Italian. They are not able to converse among themselves in one language. Though A does not know English he can act as an interpreter between B and C. No one spoke both French and German. A knows German and was able to converse with D who doesn?t know a word in German. Only one language was spoken by more than two persons. Each spoke two languages. Find who spoke what.

Ans: A- German,Italian

B- French,Italian

c- German,English

D- Italian,English

14. There is a five digit number. It has two prime digits (1 is not a prime number). Third digit is the highest. Second digit is the lowest. First digit is one less than the third digit. The fifth digit is half of the fourth. The sum of 4th and 5th is less than the first. Find the number.

Ans ? 71842

15.6. Four persons A, B, C and D are playing cards. Each person has one card, laid down on the table below him, which has two different colours on either side. No card has the same color on both sides. The colours visible on the table are Red, Green, Red and Blue respectively. They see the color on the reverse side and give the following comment.

A: Yellow or Green

B: Neither Blue nor Green

C: Blue or Yellow

D: Blue or Yellow

Given that out of the 4 people 2 always lie find out the colours on the cards each person.

Ans: A- Yellow

B- Yellow

C- Green

D- Red

16. A 1 k.m. long wire is held by n poles. If one pole is removed, the length of the gap becomes 12/3m. What is the number of poles initially?

Ans:6km

17. Find the digits X,Y,Z

X X X X

Y Y Y Y +

Z Z Z Z

--------------

Y X X X Z

----------------

Ans: X Y Z

9 1 8

18. A man starts walking at 3 pm . ha walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill , 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?

Ans: 12 km

19. A grandma has many sons; each son has as many sons as his brothers. What is her age if it?s the product of the no: of her sons and grandsons plus no: of her sons?(age b/w 70 and 100).

Ans: 81

20. An electric wire runs for 1 km b/w some no: of poles. If one pole is removed the distance b/w each pole increases by 1 2/6 (mixed fraction). How many poles were there initially?

21. There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b/w the towers at the same time. At what distance from the church is the grain?

Ans: 90

22. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? on which day the lawyer asks the person to come?

Ans: thursday

23. A person is 80 years old in 490 and only 70 years old in 500 in which year is he born?

Ans: 470

24.A person says that their speed while going to a city was 10mph however while returning as there is no much traffic they came with a speed of 15mph. what is their average speed?

Ans: 12mph

25. There is a peculiar island where a man always tells truth and a women never says two 2 consecutive truth or false statements that is if she says truth statement then she says false statement next and vice versa. A boy and girl also goes in the same way. one day i asked a child " what r u a boy or a girl" however thechild replied in their language that i dint understand but the parents knew my language and one parent

replied that " kibi is a boy" the other one said that "no kibi is a girl, kibi lied".

a: is kibi a boy or a girlb: who ansered first mother or father?

Ans: kibi is a girl and mother answered first.

26. The boy goes to school reaches railway station at his 1/3 of his journey& mill at 1/4 of his journey the time taken him to walk between railway station & mill is 5 mins. Also he reaches railway station at 7.35amwhen he started from house& when he reaches school?

Ans: 7:15to8.15

27. if a person is sitting in a exam having 30 questions (objective type) the examiner use the formula to calculate the score is S=30+4c-w here c is numberof correct answer and w is number of wrong answer , the examiner find the score is more than 80, tell how may questions are correct ? if the score is little lessbut still more than 80 then u wont be able to answer.

Ans:- 16

28. if a person having 1000 rs and he want to distribute this to his five children in the manner that ecah son having 20 rs more than the younger one , what willbe the share of youngest child

ans- 160

29.raju having some coins want to distribute to his 5 son , 5 daughter and driver in a manner that , he gave fist coin to driver and 1/5 of remaining to firstson he again gave one to driver and 1/5 to 2nd son and so on.... at last he equally distributed all the coins to 5 daughters. how many coins raju initially have???

Ans:-881

30.if ravi binded his book and the binder cut the pages of the book , ravi decided to mark the pages by himself own , what he found that number of threeappears 61 times find of number of pages answer

ans - 300

31. a painter went in a exhibition to purchases some pictures where T,U,V,W,X,Y,Z pictures were remaining , he want to buy only five in the condition on thatif T is there then X should not be there,if U is there than y should be thereif if v is there then X should be there

which is the combination the painter can have(a) T,U,V,W,Y(b)T,Z,U,W,X(c)T,X,U,V,W(d)T,U,Y,W,Z

ans (d)

32.There are 100 men in town. Out of which 85% were married, 70% have a phone, 75% own a car, 80% own a house. What is the maximum number of people who are married, own a phone, own a car and own a house ? ( 3 marks)

Sol: 15%

33. There are 10 Red, 10 Blue, 10 Green, 10 Yellow, 10 White balls in a bag. If you are blindfolded and asked to pick up the balls from the bag, what is the minimum number of balls required to get a pair of atleast one colour ? ( 2 Marks)

Sol :6 balls.

34. Triplet who usually wear same kind and size of shoes, namely, Annie, Danny, Fanny. Once one of them broke a glass in kitchen and their shoe prints were there on floor of kitchen. When their mother asked who broke Annie said, ?I didn?t do it?; Fanny said ?Danny did it?; Danny said ?Fanny is lieing?; here two of them are lieing, one is speaking truth. Can you find out who broke it ? (3 Marks)

Sol : Annie

35. 4 players were playing a card game. Cards had different colours on both sides. Neither of cards had same colour on both sides. Colours were 2 Red, 2 Blue, 2 Green, 2 Yellow. Cards were lying in front of each player. Now, each player knew the colour on other side of his card. They are required to tell their colour.Statement given by each of them was :

Annie : Blue or GreenBobby : Neither Blue nor GreenCindy : Blue or YellowDanny : Blue or Yellowcolours of cards that are visible to all were Red, Blue, Green, Blue in order of their names. Exactly two of them are telling truth and exactly two of them are lieing. Can you tell the colour on other face of card for each player ? (6 Marks)

Sol : Annie : Yellow (Lieing)Bobby : Yellow (Telling truth)Cindy : Blue (Telling truth)Danny : Green (Lieing)

36. In a game i won 12 games, each game if i loose i will give u one chocolate, You have 8 chocolates how many games played.

Ans: 32

38. 75 persons Major in physics, 83 major in chemistry, 10 not at major in these subjects u want to find number of students majoring in both subjects

Ans 68.

39. if A wins in a race against B by 10 mts in a 100 Meter race. If B is behind of A by 10 mts. Then they start running race, who will won?

Ans A

40. A+B+C+D=D+E+F+G=G+H+I=17 given A=4.Find value of G and H?

Ans: G = 5 E=1

41. One guy has Rs. 100/- in hand. He has to buy 100 balls. One football costs Rs. 15/, One Cricket ball costs Re. 1/- and one table tennis ball costs Rs. 0.25 He spend the whole Rs. 100/- to buy the balls. How many of each balls he bought?

Ans:F=3,T=56,C=41

42. The distance between Station Atena and Station Barcena is 90 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena tothe train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases:(a) The bird flies at 90 miles per hour and the speed of the train is 60 miles per hour.(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles per hour

Ans: time of train=1hr.so dist of bird=60*1=60miles

43. A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.(a) How many players participate in the tournament if 15 matches are totally played?(b) How many matches are played in the tournament if 50 players totally participate?

Ans: (a)16(b)49

44.When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 3 years from now?

Ans:Age=41 years.

45.A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold R

Ans:37

46. A set of football matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once. If 21 matches are totally played, how many teams participated?

Ans:7

47. Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

Ans: 14

48. Suppose 8 monkeys take 8 minutes to eat 8 bananas.a) How many minutes would it take 3 monkeys to eat 3 bananas?(b) How many monkeys would it take to eat 48 bananas in 48 minutes

Ans: a)48B)6

49. It was vacation time, and so I decided to visit my cousin's home. What a grand time we had!In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis

each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14 days when we jogged or played tennis. For how many days did I stay at my cousin's place?

Ans: 22 days

50 A 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?

Ans:124

1.. Joe's age , Joe's sister's age and Joe's fathers age sums up to a century. When sox s as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father

Ans: Joe=20 sister=30 father=50

2. At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 12'o clock.?

Ans. 66 sec. 2 marks.

3. Three friends divided some bullets equally. After all of them shot 4 bullets the total no.of remaining bullets is equal to that of one has after division. Find the original number divided.

Ans: 18

4. A ship went on a voyage after 180 miles a plane started with 10 times speed that of the ship. Find the distance when they meet from starting point.

Ans: 200

5. A man sold two cows for Rs. 210 at a total profit of 5 %. He sold one cow at a loss of 10% and another at a profit of 10%. What is the price of each cow?

Ans: Rs. 150 and Rs. 50

Questions 11- 15 are to be answered on the following data

A causes B or C, but not both, F occurs only if B occurs, D occurs if B or C occurs,E occurs only if C occurs, J occurs only if E or F occurs, D causes G, H or both, H occurs if E occurs, G occurs if F occurs

11. If A occurs which of the following must occursI. F and GII. E and HIII. D

(a) I only(b) II only(c) III only(d) I,II, & III(e) I & II (or) II & III but not bothAns. (e)

12. If B occurs which must occur

(a) D(b) D and G(c) G and H(d) F and G(e) JAns. (a)

13. If J occurs which must have occurred(a) E(b) either B or C(c) both E & F(d) B(e) both B & CAns. (b)

14. Which may occurs as a result of cause not mentionedI. DII. AIII. F

(a) I only(b) II only(c) I & II(d) II & III(e) I,II & IIIAns. (c)

15. E occurs which one cannot occurs(a) A(b) F(c) D(d) CAns: (b)

Directions16-20: Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:(A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question(B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question(C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient(D) each statement alone is sufficient(E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

16. Is x > 0 ?-2x < 0x³ > 0A)B)C)D)E)Ans: D

17. A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?The distance between doors B and D is 10 meters. The distance between A and C is 12 meters.A.B.C.

D.E.Ans: E

18. Given that x and y are real numbers, what is the value of x + y ?(x² – y²) / (x-y) = 7(x + y)² = 49A.B.C.D.E.Ans: A

19. Two socks are to be picked at random from a drawer containing only black and white socks. What is the probability that both are white? The probability of the first sock being black is 1/3. There are 24 white socks in the drawer.A.B.C.D.E.Ans: C

20. A bucket was placed under a dripping tap which was dripping at a uniform rate. At what time was the bucket full? The bucket was put in place at 2pm. The bucket was half full at 6pm and three-quarters full at 8pm.A.B.C.D.E.Ans: B

Directions (Question 21-25 ) : Read the following information carefully and answer the questions given below it.

Rohit, Kunal, Ashish and John are students of a school. Three of them stay far from the school and one near it. Two study in class IV, one in class V and one in class VI. They study Hindi, mathematics, Social Science . One is good at all the four subjects while another weak in all of these. Rohit stays far from the school and good at Mathematics only while Kunal is weak in Mathematics only and stays close to the school. Neither of these two nor Ashish studies in class VI. One who is good at all the subjects studies in class V.

21. Name of the boy who is good at all the subjects.A) RohitB) KunalC) AshishD) JohnAns: C

22. Name the boy who is weak in all the subjectsA) RohitB) KunalC) AshishD) JohnAns: D

23. Which two boys are good at HindiA) Rohit and KunalB) Kunal and Ashish

C) Ashish and JohnD) John and RohitAns: B

24. Which two boys are good at MathematicsA) Rohit and AshishB) Kunal and AshishC) John and AshishD) Rohit and JohnAns: A

25. Other than Rohit and the boy good at all the subjects, who else stays far from the school?A) RohitB) KunalC) AshishD) JohnAns: D

Directions 26-30 :The table above shows imports for three types of steel over a six month period. Use this information to answer the following questions

26. Which month showed the largest decrease in total imports over the previous month?A. FebB. MarC. AprD. MayE. JunAns. B

27. What was the total value of sheet steel (in $) imported over the 6 month period?A. 56,750B. 75,300C. 55,550D. 42,370E. 44,750Ans. C

28. What was the percentage of scrap steel imported in the 6 month period?A.37.5B. 35.2C. 36.1D. 31.2E. 38.3Ans. D

29. What was the difference (in thousands of tons) between coil steel and sheet steel imports in the first 3 months of the year?A. 10B. 16C. 18D. 19E. 20Ans. E

30. What was the approximate ratio of sheet steel and coil steel imports in the first 3 months of the year?A. 11:9B. 8:9C. 7:11

D. 3:8E. 7:4Ans. A

Verbal Ability Test (40 Questions in 35 minutes)

Directions for Questions 1-5: Read the passage and answer the questions that follow on the basis of the information provided in the passage

A snow leopard roars in the high mountains of Asia. A black rhinoceros gallops across the plains of Africa. A grizzly bear hunts for fish in a North American river. A mother blue whale and her calf glide through the deep waters of the ocean. All of these animals share the Earth with us. They fascinate us with their beauty, their grace, and their speed. We love observing their behavior, and learning more about their habits. But just loving them is not enough. All of these animals are endangered. Many of them have died, and without special care, they may someday disappear from the Earth. Why is it important to care for animals like these? One reason is to protect the balance of life on Earth. Another reason is the beauty of the animals themselves. Each species of animal is special. Once it is gone, it is gone forever. Africa was once filled with an abundance of wild animals. But that is changing fast. One of these animals, the black rhinoceros, lives on the plains of Africa. It has very poor eyesight and a very bad temper! Even though the black rhino is powerful, and can be dangerous, its strength can’t always help it to escape hunters. Some people think that the rhino’s horn has magical powers, and many hunters kill rhinos for their valuable horns. This has caused the black rhino to be placed on the endangered species list. The elephant seems to represent all that is strong and wild in Africa. It once had no natural enemies, but is now endangered—killed for its ivory tusks. The fastest land animal, the cheetah, also lives in Africa. It, too, is becoming extinct as people take over more and more of the land that is the cheetah's natural habitat. Imagine Africa without the powerful rhino, the gentle, intelligent elephant, or the lightning quick cheetah. Once they are gone, they are gone forever. Wherever people are careless about the land, there are endangered species. Grizzly bears like to wander great distances. Each bear needs up to 1,500 square miles of territory to call its homeland. Today, because forests have been cleared to make room for people, the grizzly’s habitat is shrinking and the grizzly is disappearing. It joins other endangered North American animals, such as the red wolf and the American crocodile. In South America, destruction of the rain forest threatens many animals. Unusual mammals, such as the howler monkey and the three-toed sloth, are endangered. Beautiful birds like the great green macaw and the golden parakeet are also becoming extinct. They’re losing their homes in the rain forest, and thousands die when they are caught and shipped off to be sold as exotic pets. The giant panda of Asia is a fascinating and unique animal. Yet there are only about 1,000 still living in the wild. The giant panda’s diet consists mainly of the bamboo plant, so when the bamboo forests die, so does the panda. China is now making an effort to protect these special creatures from becoming extinct. Asia’s big cats are also in trouble. The exotic snow leopard lives high in the mountains. Even there, it faces the loss of its natural habitat, and hunters who kill it for its fur. The tiger, the largest of all the big cats, is hunted merely for sport. Ocean-dwelling animals are in danger of extinction as well. The blue whale is the largest animal in the world. It weighs up to 390,000 pounds. Whale hunting and pollution are this species’ greatest enemies. Unfortunately, it is people who cause many of the problems that animals face. We alter and pollute their habitats. We hunt them for skins, tusks, furs, and horns. We destroy animals that get in the way of farming or building. And we remove them from their natural habitats and take them home as pets. What can you do to help endangered animals? Learn as much as you can about them. The more you know, the more you can help. Make an effort to support zoos and wildlife groups. Many zoos breed endangered animals, helping to ensure that they will continue to live on. Contribute to groups, such as the National Wildlife Federation and the Sierra Club, that work hard to protect animals. You can also be a smart shopper and never buy a pet that has been raised in the wilderness. The world is made up of many living things, and each thing is dependent on the others to survive. If we allow even one species on Earth to become extinct, it has an impact on other living things and changes our world. When we mention any endangered wild animals, let’s hope that we never again have to say, "Gone forever."

1. Which of the following is NOT an opinion?A) It is important for us to take care of endangered animals.B) The black rhinoceros is the most frightening animal in Africa.C) The fastest land animal, the cheetah, also lives in Africa.D) If we don’t protect endangered animals now, we will regret it in the future.Ans: B

2. Read this sentence from the article. Today, because forests have been cleared to make room for people, the grizzly’s habitat is shrinking and the grizzly is disappearing.

A) What does habitat mean?B) an animal’s natural environmentC) a bear’s thick wool coatD) a bear’s denE) an animal’s visionAns: A

3. Which of the following does NOT support the main idea of the article?A) Ocean-dwelling animals are in danger of extinction as well.B) Beautiful birds like the great green macaw are also becoming extinct.C) Wherever people are careless about the land, there are endangered species.D) The elephant seems to represent all that is strong and wild in Africa.Ans: D

4. Read this sentence from the article. They fascinate us with their beauty, their grace, and their speed.A) What is an antonym for the word fascinate ?B) thrillC) boreD) scarehumorAns: B

5. What will happen to some animal species if current trends continue?A) Their numbers will increase.B) There will be no significant change.C) They will become extinct.D) They will move to other habitatsAns: C

Directions for Questions 6-10 : Read the passage and answer the questions that follow on the basis of the information provided in the passage

The last half of my life has been lived in one of those painful epochs of human history during which the world is getting worse, and past victories which had seemed to be definitive have turned out to be only temporary. When I was young, Victorian optimism was taken for granted. It was thought that freedom and prosperity would speed gradually throughout the world by an orderly process, and it was hoped that curelty, tyranny, and injustice would continually diminish. Hardly anyone was haunted by the fear of great wars. Hardly anyone thought of thenineteenth century as a brief interlude between past and future barbarism.

6. The author feels and about the later part of his life becauseA) The world had not become prosperousB) he was nostalgic about his childhood.C) the world was painfully disturbed during that period of time.D) the author had not won any further victories.Ans: C

7. The victories of the pastA) filled men with a sense of pessimismB) proved to be temporary eventsC) ended, cruelty, tyranny, and injusticeD) brought permanent peace and securityAns: B

8. The world 'definitive' as used in the passage meansA) incomplete

B) definedC) temporaryD) finalAns: D

9. During the Victorian age people believed thatA) there would be unlimited freedomB) strife would increaseC) peace would prevail and happiness would engulf the whole world.D) wars would be fought on a bigger scaleAns: C

10.A brief interlude between past and future barbarism' can be interpreted asA) a dramatic performance during warsB) an interval between cruel warsC) a short space of time between two great eventsD) a short period of time between past and future acts of savagery.Ans: D

Directions 11-18 : Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete.

11. The petition before the Court prayed for .....................the appointment orders issued by the managementA) removingB) grantingC) postingD) quashingE) dismissingAns: D

12. I have a profound respect for his political..................A) personalityB) ambitionC) temperamentD) sagacityE) involvementAns: D

13. The truck was.............. the traffic and the policemen asked the driver to move off.A) failingB) obstructingC) obviatingD) hidingE) disturbingAns: B

14. The paternalistic attitude is so ingrained in the managements that they have to.....................try to change itA) casuallyB) slowlyC) subtlyD) inadvertentlyE) conscientiouslyAns: C

15. For a few seconds, Madan was.............blinded by the powerful lights of the oncoming carA) heavilyB) largelyC) greatly

D) powerfullyE) totallyAns: E

16. sachin was to reach that afternoon but was ...... up at Delhi for some personal work.A) delayedB) keptC) heldD) stayed E) detainedAns: A

17. He ..... his shoes till they shone.A) brushedB) scrubbedC) wipedD) polishedE. shined.Ans: C

18. Let us take him upon his word. I see no room for any ....... in the matterA) deviationB) duplicityC) differenceD) cynicismAns: B

Direction Questions 19 - 26: In each question below is given a passage followed by several inference. You have to examine each inference separately in the context of the passage and decide upon its degree of truth or falsity.

mark your answer as :A. if the inference is ' definitely true' i.e. , it directly follows from the facts given in the passageB. if the inference is ' probably true' though not definitely true in the light of the facts givenC. if you think the data are in adequate i.e., from the facts given you cannot say whether the inference is likely to be true or falseD. if you think the inference is ' probably false' though not definitely false in the light of the facts given; andE. if you think inference is ' definitely false' i,e , it contradicts the given facts.

Passage I

More than a decade of erosion in budgetary support from the Union Government, has seriously affected Indian Railway's capacity to finance its plan expenditures. The situation has come to a pass where the railways must now think of innovative ways to get longer mileage from its investments. Significantly the resource crunch has had grievous impact on the railways. As a result, it will not be in a position to acquire necessary equipments and this will seriously affect the railway's capacity to serve the needs of the economy in future.

19. Railways had so far belived in traditional ways in generating income.Ans: A

20. government has shifted its priority from railways to other areas.Ans: B

21. The union government has reduced drastically the budgetary support to railways during the last decade.Ans: A

22. The fiscal position of railways in the earlier plan period was better than the current plan periodAns: A

23. During the current plan period, the railways will not be able to expand its networkAns: A

Passage II

The smaller pesticide formulation units in India operate under heavy constraints such as obsolete technology, small scale of operation and dependence on large units for raw materials . In view of the loss of expensive material by the smaller units it is important to either eliminate or reduce losses to the extent possible through innovative and sustainable waste minimization techniques. operating profit margins of the units are very low and small adverse conditions land these companies in trouble. Maximum losses suffered by these units are through poor house keeping , Sub- optional operating practices , and lack of proper opportunities for recycling waste.

24. Smaller units should be operationally self sufficient so as to minimize loss.Ans: C

25.Waste management process in India need modernizationAns: A

26. Lack of funds compels smaller units to ignore house keeping.Ans: B

Direction 27-32 : In each of the following questions, find out which part of the sentence has an error. if there is no mistake the answer is 'no error'

27. Our is the only / country in the world / than can boast of / unity in diversity / no errorA)B)C)D)E)Ans : B

28. May I know/Who you want / to see please / No errorA)B)C)D)Ans : B

29. due to me being a newcomer / I was unable to get a house / suitable for my wife and me / No errorAns : A

30.This is the boy / Whom I think had won / the gold medal in the dance competition / No errorA)B)C)D)Ans : B

31. The number of vehicles /plying on this road /is more than on the main road / No errorA)B)C)D)Ans : C

32. There has not been any rainfall / in this part of the country / since the last two years / No errorA)

B)C)D)Ans: D

Directions 33-40: In each question, a part of sentence is printed in italics. Below each sentence, some phrases are given which can substitute the italicized part of the sentence. If the sentence is correct as it is, the answer is 'No correction required'

33. No sooner I saw the tiger than I ran awayA. No sooner I had seenB. No sooner did I seeC. as soon as I sawD. No Correction requiredAns: B

34. Let he and I work togetherA. him and IB. him and meC. he and meD. No Correction requiredAns : C

35. The child is father of the manA. A child, manB. Child , a manC. Child, ManD. No Correction requiredAns : D

36. I am used to hard workA. hard workingB. work hardC. work hardlyD. No Correction requiredAns : D

37. The doctor examined my pulseA. observedB. sawC. feltD. No Correction requiredAns : C

38. I wish I have all those luxuriesA. I will haveB. I am havingC. I hadD. No Correction requiredAns: C

39. She did not like the movie , nor I didA. nor did IB. nor I like itC. nor I liked itD. No Correction requiredAns: A

40. The enthusiastic voters were queuing up outside the polling station since morning.A. queued upB. had queued upC. had been queuing upD. No Correction requiredAns: B

41. 5,9,16,29,54,103,?

5*2-1=99*2-2=1616*2-3=2929*2-4=5454*2-5=103103*2-6=