Interest Assignments

1. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A. 3.6B. 6

C. 18D. Cannot be determined

2. The compound interest on a sum of money for 2 years is rs.832 and the simple interest on the same sum for the same period is rs.800 .the difference between the compound interest and simple interest for 3 years

A. Rs.48B. Rs.66.56

C. Rs.98.56D. None of these

3. What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?A. Rs.2592

B. Rs.2492C. Rs.2352D. Rs.2352

4. A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?

A. Rs.1200B. Rs.1300

C. Rs.1400D. Rs.1500

5. A man borrowed Rs 24000 from two money lenders. For one loan, he paid 15% per annum and for the other 18% per annum. At the end of one year, he paid Rs 4050. How much did he borrow at higher rate ?

A. Rs.16000B. Rs.12000

C. Rs.15000D. Rs.13000

Partnership Assignments

1. Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :

A. 8400B. 8200

C. 8100D. 8000

2. (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

A. Rs.700B. Rs.800

C. Rs.900D. Rs.1000

3. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

C. 12000D. 13000

A. 10110B. 10500

4. X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

A. 20000B. 40000

C. 60000D. 80000

5. Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of  Rs. 31,570, Reena's share is :

A. 12628B. 18245

C. 11235D. 10253

Percentages Assignment

1. When a number is first increased by 10% and then reduced by 10%, the number is:

A. Does not changeB. Decreases by 1%

C. Increases by 1%D. None of these

2. Number decreased by 20% gives 480. The number is: A. 500B. 600

C. 550D. None of these

3. If A is 25% greater than B then how much percentage is B smaller than A?

A. 20%B. 25%

C. 28%D. 21%

4. In an election between two candidates, 10% of votes are were declared invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:

A. 3000 votesB. 5400 votes

C. 10000 votesD. 12000 votes

5. The population of a town increases 10% and 20% respectively in two consecutive years. After the growth the present population of the town is 13200. Then what is the population of the town 2 years ago?

A.10010B.10001

C. 10000D. 10100

Profit and LossAssignments

1. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A. Rs. 2000B. Rs. 2200

C. Rs. 2400D. Data inadequate

2. Tarun got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labelled price ?

A. 10000B. 12000

C. 13000D. 14000

3. A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:A. 10% loss

B. 1% lossC. 1% gainD. Neither loss nor profit

4. If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265

A. Rs. 750B. Rs. 800

C. Rs. 850D. Rs. 900

5. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

A. Rs.1200B. Rs.1230

C. Rs.1260D. Rs.1290

Proportion Assignments

1. If two numbers are in the ratio 5:3. If 10 is reduced to both of the numbers then the ratio becomes 2:1 then find the smallest number? A. 10

B. 20C. 30D. 40

2. Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is? A. 16

B. 8C. 12 D. 24

3. Rs.4800/- are divided among P, Q and R in such a way that the share of P is 5/11 of the combined share of Q and R. The share of Q is 3/13 of the combined share of R and P. Thus, R gets:? A. Rs.300/-

B. Rs.3300/-C. Rs.1500/- D. Rs.2400/-

4. If 0.4:1.4 :: 1:4:x, then x=? A. 49 B. 4.9

C. 0.49 D. 0.4

5. A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?

A. 7/45 B. 1/35

C. 45/7 D. 5/21

6. If a:b=1:2 and b:c=3:4 find a:b:c? A. 3:8:6B. 3:12:6

C. 3:6:8 D. 1:2:4

Set Theory Assignments

1. Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

A. 0B. 20C. 10

D. 18E. 25

2. In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?

A. 19B. 41C. 21

D. 57E. 26

3. In a group of 100 customers at Big Red's Pizza Emporium, 80 of them ordered mushrooms on their pizza and 72 of them ordered pepperoni. 60 customers ordered both mushrooms and pepperoni on their pizza. How many ordered none ?

A. 10 B. 12

C. 8D. 6

Time and Distance Assignments

1. A train 125m long passes a man running at 5kmph in the same direction in which train is going in 10seconds. The speed of the train is ?

a. 45kmph   b. 50kmph b. c. 54kmph d. 55kmph

2. Two train each 100m long moving in opposite directions cross each other in 8 seconds. If one is moving twice faster than the other, then the speed of the faster train is ?a. kmph b. 45kmph  

c. 60kmph d. 75kmph

3. A train travelling at a speed of 75mph enters a tunnel 5miles long. The train is .25miles long. How long does it take for train to pass through the tunnel from the moment the front enters and rear emerges?

a. 2.5min       b. 3minc. 3.2min   d. 3.5min

4. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still  water) and the stream is ?a. 2 : 1             b. 3 : 1  

c. 3 : 2   d. 4 : 3

5. A train covers a distance of 10km in 8 mins. If its speed increased by 5kmph, then the time taken to vover the same distance will be:

a. 7.5min    b. 7min   c. 6.5min     d. 6min

6. An aeroplane covers a certain distance at a speed of 240kmph in 5 hr. To cover the same distance in 4 hr, it must travel at a speed of ?a. 275kmph b. 325kmph c. 280kmph d. 300kmph

7. A person has to cover a distance of 6km in 45 mins. Ih he covers one half of the distance in two third if the total time, to cover the remaining distance in the  remaining time. What should be his speed in kmph ?

a.14 b. 12 c. 12 d. 8

8. A train travelling at 48kmph completely crosses another train having half the length and travelling in opposite direction at 42kmph, in 12 sec. it also passes a railway plat form in 45 sec. the length of the platform is ?

a. 450m      b. 400m     c. 560m   d. 600m

9. A man walking at 3kmph crosses a square field diagonally in 2 min. the area of the field  meter square is ?

a.2500   b. 3000 c. 5000 d. 6000

10.Two persons start walking in opposite directions at 5kmph and 4kmph respectively. After how many  hours will they be 45kms apart ?

a.4 b. 5 c. 6 d. 2

11.A man’s speed with the current is 15kmph and the speed of the current is 2.5kmph. the speed of man’s against the current is ?

a.8.5kmph   b. 9kmph     c. 10kmph   d. 12.5kmph

12.Two trains from prince town leave prince town at 9:00am and 9:30 am and travel 36kmph and 54kmph respectively. At what distance from prince town two trains are together?

a.36kms      b. 54kms           c. 72kms     d. NOT

13.If telegraph poles on rail road are 50m apart, then how many will be passed by train in 4hrs travelling at 45kmph?

a.3600     b. 3601   c.3602   d. 3603

Time and Work Assignments

1. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

a. 300 kmphb. 360 kmph

c. 600 kmphd. 720 kmph

2. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:a. 50 km

b. 56 kmc. 70 kmd. 80 km

3. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

a. 1 hourb. 2 hours

c. 3 hoursd. 4 hours

4. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

a. 220 kmb. 224 km

c. 230 kmd. 234 km

5. A car travelling with  of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

a. 176km 7/hr

b. 25 km/hr

c. 30 km/hrd. 35 km/hr

Time and Work Assignments - 2

1. Agyan is twice good as workman as Adroit. Together they can do a work in 14 days, if Agyan not keeping well and adroit did alone in how many day he complete ?a. 40 days         b. 41 days         c. 42 days          d. 43 days

2. Kushal and Nikhil while working together can complete a piece of work in 64 hours while Nikhil alone can do it in 96 hours. How long will kushal alone complete the work ?a. 183 hours     b. 192 hours    c. 216 hours     d. 174 hours

3. A works twice as fast as B. if B can complete a work in 12 days independently, the number of days in which A and B together finish work in :a. 18 days         b. 8  days          c. 6  days           d. 4 days

4.13 buckets of water fill a tank when the capacity of each bucket is 51 litres. How many buckets will be needed to fill the same tank, if the capacity of each    bucket is 17 litres ?

a. 33                    b. 29                   c. 39                    d. 42

5. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?  

a. Rs. 375           b. Rs. 400            c. Rs. 600         d. Rs. 800

6. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?   

a. 5                   b. 5 1/2              c. 6                      d. 8

7. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

a. 5 5/11       b. 5 6/11            c. 6 5/11            d. 6 6/11

8. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

a. 18 days           b. 24 days          c. 30 days    d. 36 days

9. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?   a. 3 : 4     b. 4 : 3              c. 5 : 3                 d. Data inadequate

10.A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

a. 5 days                   b. 6 days             c. 10 days            d. 10 ½ days

11. A and B can do a job together in 7 days. A is 1 ¾ times as efficient as B. The   same job can be done by A alone in :a. 9 1/3 days                    b. 11days                          c. 12 ¼ days                     d. 16 1/3 days  

PermutationAssignments

1. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?

A.   376B.   375C.   500D.   673

2. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A.   4050B.   3600C.   1200D.   5040

3. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A.   360B.   700C.   720D.   120

4. How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

A.   720B.   576C.   567D.   625

AllegationAssignments

1. How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg? A.    36 Kg

B.     42 KgC.     54 KgD.    63 Kg

2. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg. A.    1:3

B.     2:3C.     3:4D.    4:5

3. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is.A.    Rs. 19.50B.     Rs. 19

C.     Rs. 18D.    Rs. 18.50

4. In the 75 liters of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is.

A.    1 litreB.     3 litres

C.     4 litresD.    5 litres

5. The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

A.    7:3B.     5:3

C.     8:5D.   2:7

AP,GP Assignments

1. What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

A. 897B. 1,64,850

2. What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?

A. 10,050B. 5050

C. 1,64,749D. 1,49,700

C. 5000D. 50,000

3. The sum of the three numbers in A.P is 21 and the product of the first and third number of the sequence is 45. What are the three numbers?

A. 5, 7, and 9B. 9, 7, and 5

C. 3, 7, and 11D. Both (1) and (2)E. None of these

4. A piece of equipment cost a certain factory Rs. 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

A. 2,00,000B. 1,05,000

5. The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

A. 44B. 22

C. 4,05,000D. 6,50,000

C. 19D. None of the above