Q. If the Titanic had hit the iceberg head on, its water-tight compartments might have saved it _________, from but it swerved to avoid the iceberg, and in the collision so many compartments were opened to the sea that disaster was______?

1) foundering.., inevitableQ. Linguistics is my _____?

1) ForteQ. A train m leaves meerut at 5 a.m. and reaches delhi at 9 a.m. another train leaves delhi at 7 a.m. and reaches meerut at 10.30 a.m. at what time do the two trains_lavel3 cross each other ?7:56amLet the total distance be xso the speed of 1st train is x/4 and 2nd train x/3.5In 2 hours 1st train covers half of the total distance .so remaining is only half of the total distance(ie x/2).let t be the time takent*x/4 + t*x/3.5 = x/2t=14/15 i.e. 56 minietotal time taken= 2 hrs + 56 mintime they cross each other is 7:56am (5+2.56)Q. b,x,e,u,h,?Ans:r

Q. 3,5,11,29,83,245,?

Ans is:7315-3=211-5=6 |2*329-11=18 |6*383-29=54 |18*3245-83=162 |54*3731-245=486 |162*3

Q. A Jar contains 18 balls. 3 blue balls are removed from the jar and not replaced.Now the probability of getting a blue ball is 1/5 then how many blue balls jar contains initially?8th march infosys

Q 4,6,10,14,22,34,38,46 ?each term multiply by consecutive prime no2*2,2*3,2*5,2*7,2*11,2*13,2*17,2*19,2*23,2*29ans.>>58Q. whats the next no..3,7,13,19....

prime no.s from 3 onwards

3,5,7,11,13,17,19,23,29

write alternate primes no.s starting from 3

3,7,13,19,29

ans: 29

Q. the sum of series represented as1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225) isoptiona)28/221b)56/221c)56/225d)none of these

1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225)=(1/4)*[(5-1)/(1*5) + (9-5)/(5*9) + (13-9)/(9*13) +..... + (225-221)/(221*225)]=(1/4)*[(1- 1/5)+(1/5 - 1/9)+(1/9 -1/13)+...(1/221 -1/225)]=(1/4)*(1- 1/225)=(1/4)*(224/225)=56/225Q. Whats the next number in the seriesa b d h?

1, a(1) b(2) d(4) h(8) ?1*2=2 which is b2*2=4 which is d4*2=8 which is h8*2=16 which is p.... so a b d h p2. n is ansa,b- in b/w 0 lettersb,d- in b/w 1 letterd,h- in b/w 3 lettersso in sequence next 5 letters should be there in b/w => n (h,n- in b/w 5 letters)Q. The number of zeros at the end of the product of all prime numbers between 1 and 1111 is?prime no.s betn 1 & 1111 are 2,3,5,7,11,...

there is no other prime no. ending with 5 as unit digit, except one '5'

2*5= 10 gives only one zero in the product of all prime no.s

so,number of zeros at the end of the product = 1 Q. A train goes from stations A to B. One day there is a technical problem at the very beginning of the journey & hence the train travels at 3/5 of it's original speed and so it arrives 2 hours late. Had the problem occured after 50 miles had been covered, the train would have arrived 40 min earlier(i.e., only 120-40 = 80 min late). What is the distance between the 2 stations?

Q. Due to some defect in our elevator, I was climbing down the staircase.Id climbed down just 7 steps when I saw a man on the ground floor. Continuing to walk down, I greeted the man and I was surprised to see that when I was yet to get down 4 steps to reach the ground floor, the man had already finished climbing the staircase. He perhaps climbed up 2 steps for every 1 of mine. How many steps did the staircase have?7+x+4=2xas oldman takes 2 steps for every one steps he takes and he has to complete 4 steps so..X=11 and total steps=2X=22

Q. A bird keeper has got P pigeons, M mynas and S sparrows.The keeper goes for lunch leaving his assistant to watch the birds.

Suppose p=10, m=5, s=8 when the bird keeper comes back, the assistant informs the x birds have escaped. The bird keeper exclaims: "Oh no! All my sparrows are gone."How many birds flew away?When the bird keeper comes back, the assistant told him that x birds have escaped. The keeper realised that atleast 2 sparrows have escaped.What is minimum no of birds that can escape?

Q. a shop has 4 shelf,3 wardrobes,2 chairs and 7 tables for sell. U have to buya. 1 shelfb. 1 wardrobec. either 1 chair or 1 table

How many selection can be made?

Q. 5 digits number 3 pairs of sum is 11 each.last digit is 3 times first one,3rd digit is 3 less than 2nd,4rth digit is 4 more than the second one

Q. What seven-letter word has hundreds of letters in it?PostboxQ. GOOD is coded as 164 then BAD as 21. If UGLY coded as 260 then JUMP?Alphabetic position of A is 1 B is 2 and so on.So alphabetic position of g is 7,that of o is 15 and d is 4.so G=7 O=15 O=15 D=4.So total value of GOOD is 15*2=30 + 4 + 7=41 multiplied by the total number of characters is 4.SO 41*4=164.Similarly J=10 U=21 M=13 P=16.Total=60 * 4(Total number of characters) which is equal to 240Q. An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?

Lets suppose that A walks down 1 step / min andescalator moves n steps/ minIt is given that A takes 50 steps to reach the bottomIn the same time escalator would have covered 50n stepsSo total steps on escalator is 50+50n.

Again it is given that B takes 90 steps to reach the bottom and timetaken by him for this is equal to time taken by A to cover 10 steps i.e10 minutes. So in this 10 min escalator would have covered 10n steps.So total steps on escalatro is 90 + 10n

Again equating 50 + 50n = 90 +10n we get n = 1Hence total no. of steps on escalator is 100.Q. Albert and Fernandes have two leg swimming race. Both start from opposite ends of the pool. On the first leg, the boys pass each other at 18 m from the deep end of the pool. During the second leg they pass at 10 m from the shallow end of the pool. Both go at constant speed but one of them is faster. Each boy rests for 4 seconds at the end of the first leg. What is the length of the pool?

Q. A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?

clearly 11mornings and 12 afternoons = 23 half dayssince 13 days raining means 13 half days.so 23-13 =10 halfdays ( not effecetd by rain )so 10 halfdays =5 fulldaystotal no. of days = 13+5 =18 daysQ. Solve[x^(1/3)]-[x^(1/9)] = 60Let t=x^1/9 (^ means power raised to);so, the given eq changes to..t^3 - t =60 ,i.e; t(t-1)(t+1)=60=3*4*5 ;therefore, t=x^1/9=4 ;hence, x=4^9 .Q. 28a+30b+31c=365. find a+b+c, if a,b,c are natural nos

a,b,c are nothing but the no. of months having 28,30,31 days in a year of 365 days respectively.a=1,b=4,c=728(1)+30(4)+31(7)=365so,a+b+c=12Q. The aggregate marks of three students A,B,C is 180. What are the marks of each student?

1. B and C together obtain 85 marks.2. A and C together obtain 70 marks.

Given, A+B+C=180Cond 1) B+C=85then putting cond 1 into given we got, A=180-85=95Cond 2) A+C=70Putting A's value, C=70-95=-25Now putting A's & C's value we got, B= 180-95+25=110Answer, A=95, B=110, C= -25Q. Find the unit digit of product of the prime number up to 50prime number up to 50 are2,3,5,7,11,...,43,47

product= 2*3*5*7*11*...*43*47

there's a term 2*5=10, so unit digit of product = 0Q. complete the series..2 2 12 12 30 30 ?

it follows the series as:1 * 2 = 22 * 1 = 23 * 4 = 124 * 3 = 125 * 6 = 306 * 5 = 307 * 8 = 56------> this is the required number for the series.8 * 7 = 56.Q. Q. Olympic Race: 4 Contestants: Alan, Charlie, Darren, And Brain. There Are Two Races And Average Is Taken To Decide The Winner. One Person Comes At The Same Position In Both The Race. Charlie Always Come Before Darren. Brian Comes First Once. Alan Comes Third Atleast Once. Find The Positions. Alan Never Comes Last. Charlie & DarrenComes 2nd Atleast Once.

4 Contestants: Alan, Charlie, Darren, And Brainby using condition:Charlie Always Come Before Darren. Brian Comes First Once.. Charlie & Darren Comes 2nd At least Onceresult1 race:1.brain,2.charlie2 race:1.charlie,2.darrenusing condition of alan by alen third in both races

so final result is1 race:1.brain,2.charlie,3.alan,4.darren2 race:1.charlie,2.darren ,3.alan,4.brain

Q. A Lorry Starts From Banglore To Mysore At 6.00 Am, 7.00 Am, 8.00 Am.....10 Pm. Similarly on another side starts from Mysore to Banglore at 6.00 Am, 7.00 Am, 8.00 Am.....10.00 Pm. A Lorry Takes 9 Hours To Travel From Banglore To Mysore And Vice Versa.(I) A Lorry Which Has Started At 6.00 Am Will Cross How Many Lorries. (II) A Lorry Which Had Started At 6.00 Pm Will Cross How Many Lorries.I} That Lorry Start with 6:00 am will cross 10 Lorry'sBecause of 6:00 am to 12:00 all 9 lorry cross and last night's Lorry 10:00Pm.II}13 Lorry'sQ. There are 16 hockey teams. find:(1) No of matches played when each team plays with each other twice.(2) No of matches played when each team plays each other once.(3) No of matches when knockout 0f 16 team is to be played

1. 16*(16-1)=16*15=2402. 16*(16-1)/2 = 1203. 8+4+2+1=15

Q. 15 tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?

A. 190B. 200C. 210D. 220E. 225

Ans is 2*15C2=210.Q. 1 11 21 1211 111221 312211 what is the next term in the series?

we can understand it by writing in words1one time 1 that is =11then two times 1 that is=21then one time 2 and one time 1 that is= 1211then one time one, one time two and two time 1 that is =111221and last term is three time 1, two time 2, and one time 1 that is =312211so our next term will be one time 3 one time 1 two time 2 and two time 113112221 and so on.....

Q. 7 peoples has to selected from 12 mens and 3 womens,no no womens can come together in how many ways v can arrange them?

Q. how many five digit numbers are there such that two left most digits are even and remaining are odd and 4 digit should not be repeated.N=(4*5-1)*5*5*5=2375

where4 cases of first digit {2,4,6,8}5 cases of second digit {0,2,4,6,8}1 case of 44 for two leftmost digit5 cases of third digit {1,3,5,7,9}5 cases of fourth digit {1,3,5,7,9}5 cases of fifth digit {1,3,5,7,9}

Q. there are 16 people, they divide in to four groups,now from those four groups select a team of three members,such that no two members in the team shoud belong to same group

4c1*4c1*4c1*4c3=256 (4c3 means we can select any 3 teams from four teams and each one from each team)Or(4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)4*(4c1*4c1*4c1)4*(4*4*4)=256

Q. If a refrigerator contains 12 cans such that 7 blue cans and 5 red cans. In how many ways can we remove 8 cans so that atleast 1 blue can and 1 red can remains in the refrigerator.

possible draw 8 balls and in refrigirator contains atleast 1 blue and 1 red ball are (6,2) (5,3) (4,4)6 2---->7c6*5c2--->7*10=705 3---->7c5*5c3--->21*10=2104 4---->7c4*5c4--->35*5=175

70+210+175=455

ANS=455Q. Q; Eighth term of the series:2,4,8,14,22,...

Look upon the series carefully2,4,8,14,22,...2+2=44+4=88+6=1414+8=22adding 2,4,6,8similarly22+10=32so next term will 327th term= 448th term= 58Q. Find the 8th term in sries?

2,2,12,12,30,30,.......

1^1+1=22^2-2=23^2+3=124^2-4=125^2+5=306^2-6=30

so next two 7th=(7^2+7)=56 & 8th=(8^2-8)=56

ans 56Q. Next three terms of the series;1,4,9,18,35,...

2^1-1=12^2+0=42^3+1=92^4+2=182^5+3=352^6+4=68ANS:-68Q. rahul took a part incycling game there 1/5 ahead of him and 5/6 behind him then total no.of participants

Let d total no of participants includeing RAHUL = x

excluding rahul=(x-1)

1/5(x-1)+5/6(x-1)=x31x-31=30x

Total no. of participants x =31

Q. what ARE THE SPEEDS OF two trains travels with 80 yards and 85 yards long respectively?assume that former is faster than lathera)they take 75 secto pass eachother inoppp direction b)they take 37.5 seconds to pass each other in same direction

Sorry friends this is my little correction to the previous solution....this is the correct one.

let the speeds be x and y

when moves in same direction the relative speed, x-y = 85-80/37.5 = 0.13 .....(l)

when moves in opposite direction the relative speed, x+y = 165/75 = 2.2...(ll)

now, equation l + equation ll gives, 2x = 0.13+2.2 = 2.33 => x=1.165

from equation l, x-y=0.13 => y = 1.165-0.13 = 1.035

therefore the speeds are 1.165 yards/sec and 1.035 yards/sec.

Q. Reversing the digits of father`s age we get son`s age. One year ago father was twice in age of that of his son? find their current ages?Let father's age= 10x+yson's age=10y+x (as, it is got by reversing digits of fathers age)ATP, (10x+y)-1=2{(10y+x)-1}=>x=(19y-1)/8let y=3 then x=7 .For any other y value , x value combined with y value doesn't give a realistic age (like father's age 120 etc)So, this has to be solution.Hence father's age=73, son's age =37.Q. Addition MethodeW O WW O W+ S O----------C O O KWhat is the Value of C, O, W, K, S....C=1, O=5, W=7, K=9, S=4Q. Q.Professor John Brown sets extremely difficult class exam question papers for his students,for he believes that__________mariner.

a smooth sea never made a skilled

Q. Q.Each chef has his/her own recipe for making an apple pie;when asked to commentabout the necessity of eact one having a special secret recipe Chef Pierre commented that______1.variety is the spice of life and cookery2.each cook has his own broth3.to each their own way of cookery4.there are many ways to skin a cat(mostly ans)Q. 1.Life is funny that way.Things are getting bad and then ,without warning,good thingsstarted happening and you are on your way to better times.2.Life is funny in one way.Things are going badly and then ,under warning,good thingsstart happening and you are on your ways to more better times.3.Life is funny anyway.Things are going badly and then ,without warning,good thingsstart to happen and you are on your way to better timings.4.Life is funny that way.Things are going badly and then ,without warning,good thingsstart happening and you are on your way to better times.

Which is correct?Q. Sum of all 120 numbers formed by using 1, 2, 3, 3, 3, and 4 is?

total no. = 6!/3!=120now we have to check now many time a digit is repeated. as there are 6 digits we do 120/6=20that means every digit is repeated 20 times except digit 3 which is repeated 3*20=60 times.

sum=(sum of the digits at the unit place)*(111111)= (20*1+20*2+60*3+20*4)*111111=35555520

Q. The new committee arranged everything as it was before, except the weekly meetings were discontinued1.except the weekly meetings had discontinued2.except the meetings was discontinued weekly3.except the weekly meetings that were discontinuedans.4.except that the weekly meetings were discontinuedQ. Due to me being a newcorner to this place, I found it difficult to get an accommodation that would suit our family budget1.Because of me being a newcorner2.Owing to my being a new corner3.As I am coming new4.For me being a newcorner.most ans..Q. The journey by car is as quick, and perhaps quicker, than by train1.The journey by car is as quick as, and perhaps quicker than by train2.The journey by car is perhaps quicker than by train3.perhaps the journey by car is quicker than by trainmost ans4.car journey is quicker perhaps than by trainQ. In a cycle race there are 5 persons participated for 5 positions named as J,K,L,M,N.So that in how many number of ways can make M always before N?

m is always before nit means not only beside may be like this3! is for arranging jklm---- 4 positions for n so 4(3!)-m--- 3 positions for n so 3(3!)--m-- 2 positions for n so 2(3!)---m- 1 position for n so 1(3!)

so 3!(1+2+3+4)=60 ways

Q. There are 1000 junior and 800 senior students in a class.And there are 60 sibling pairs where each pair has 1 junior and 1 senior.1 student is chosen from senior and 1 from junior randomly.What is the probability that the two selected students are from a sibling pair?Q. 161?85?65?89=100then use + or - in place of ? and take + as m,- as n then find value of m-n

options:1)32)-13)14)-3

161-85-65+89=100so m=1, n=2 => (m-n)=-1Q. A PERSON WENT TO A SHOP AND ASKED FOR CHANGE FOR 1.15PAISE. BUT HE SAID THAT HE COULD NOT ONLY GIVE CHANGE FOR ONE RUPEE.BUT ALSO FOR 50P,25P,10P AND 5P. WHAT WERE THE COINS HE HAD?50P: 1 COIN25 P : 2COINS10 P:1 COIN5 P : 1 COINTOTAK 1.15 P

Q. A and B can do a piece of work in 18 and 9 days respectively. A does the work for a few days and left, then B continued for 6 days. How many days did A and B work together?

A 1day work=1/18B 1day work=1/9A+B 1day work=1/18+1/9 = 3/18 (1 work in 18/3 =6days)

B continued for 6 days,so,B 6days work=6/9

Total work done by A+B together = (1-6/9) = 3/9Hence,A+B3/18 work in 1day(from above )1 work in 18/3day=6dayso,3/9 work in(6*3/9)= 2 days

so,both A and B worked for 2 days..Q. A shopkeeper purchased an article at 20% discount on list price, he marked up his article in such a way that after selling the article at 20% discount, he gained 20% on SP. what % is SP of the list price?Q.. Eight persons named Jate, Late, Mate, Nate, Qate, Quote, Kate, Pate stay in different floors in a building. There are 5 floors in a building. There may be either one or two room in each floor.

Only One person live in second floor.Mate and Nate always stay together.Kate is directly next floor to Pate.Late is only one stays in second floor.Quote is only in the floor as Qate.Jate stays in floor with two rooms.i) Which of the following is correct?

Late stays in third floor.Late stays in fifth floor.Mate stays in third floor and Nate in second floor.Late stays in second floor.Jate and Late stays in second floor.ii) If Late is in third floor, which is true?

a) Kate stays in first floor.b) Pate stays in fourth floor.c) Mate stays in first floor.d) Quote stays in fifth floor.e) Jate stays in second floor.

Q. What is the next term in the below series.1/5 , 1/2 , 1/3 , 2/5 ,1, 2/3, 3/5, 1 1/2 ,1, 4/5,?

1/5 2/5 3/5 4/51/2 1 1 1/2 ?1/3 2/3 1 4/3ans :2Q. 8 : 18 : : 24 : ?(a) 38(b) 32(c) 44(d) 43

3^2-1=84^2+2=185^2-1=24there for6^2+2=38 ans

Q. Find the sum of 4 digit numbers which are made by 1,2,5,6(n-1)!(1111....)(sum of digits)(4-1)!(1111)(1+2+5+6)93324Q. Find the 8th term 0,0,6,6,20,20,42,_,_he next number will be 42,72,72..explanation:it is in the series of 0,1,2,3,4,5,6,7,8,90*1=01*0=02*3=63*2=64*5=205*4=206*7=427*6=428*9=729*8=72...thats itQ. If 5 cars park in 5 parking place.there are 3 red colour car,1 blue and 1 green then how many ways we can arrange the cars differentlytotal car=5place =5means cars are place any 5 position means its 5!=120but 3 cars r red and 1 blue and 1 greenthen its arrange 3!,1!,1!so,=120/6*1*1=20 Q. you meet three people, A, B and C in an island (people are either liars or truth-tellers).You ask A:- How many truth-tellers are among you guys?

The volcano makes a loud noise when A answers and you can't hear the answer.So you ask B:- What did A say? -and B answers- A said that one of us is a truth-teller and two of us are liars -and then C adds- Don't believe what B said, he's lying.What class of people are B and C?

Q. A+B+C+D=D+E+F+G=G+H+I=17 given A=4.Find value of G and H?solution:Step 1.a + b + c + d = d + e + f + g = g + h + i = 17NOW ADD;(a + b + c + d) + (d + e + f + g) + (g + h + i) = 17 +17+17(a + b + c + d) + (d + e + f + g) + (g + h + i) = 51a + b + c + d + e + f + g + h + i + ( d + g ) = 51Step 2.But 'a' to ' i ' takes values only from 1 to 9So,a + b + c + d + e + f + g + h + i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Step 3.From step 1 and step 2d + g = 51 - 45 = 6possible values of d & g are (1, 5), ( 5,1 ), (2,4) & (4, 2 )( 2, 4 ) & ( 4 , 2 ) are not possible as "a = 4 "We have to try with other values (1, 5 ) & ( 5 , 1 )Step 4.When d = 1 and g = 51. a + b + c + d = 4 + b +c + 1 = 17b + c = 12only possible values of b & c are ( 9, 3 ) or ( 3, 9 )2.d + e + f + g = 1 + e + f + 5 = 17e + f = 17 - 6 = 11possible combinations for 11 are (2,9) ; (3,8) ; (4,7) & (5,6).Out of the above four combinations nothing is possible because b & c takes values 3 & 9, g = 5 (assumed) and a = 4 (given).So, d = 1 & g = 5 is not the solution.

Case 2.When d = 5 and g = 11. a + b + c + d = 4 + b + c + 5 = 17b + c = 17 - 9 = 8only possible combination is 2 & 6a + b + c + d = 4 + ( 2 + 6 ) + 5 = 172. d + e + f + g = 5 + e + f + 1 = 17e + f = 17 - 6 = 11The only possible value is 3 & 8d + e + f + g = 5 + ( 3 + 8 ) + 1 = 17g + h + i = 1 + h + i = 17h + i = 17 - 1 = 16The only possible value for h & i are 7 & 9g + ( h+ i ) = 1 + ( 7 + 9 ) = 17So the values of d = 5 & g = 1ANS: G=1 & H=7Q. A person says that their speed while going to a city was 10mph however whilereturning as there is no much traffic they came with a speed of 15mph. what is theiraverage speed?Avg speed= 2xy/x+yHence Ans: 12Q. Find the digits X,Y,ZX X X XY Y Y Y +Z Z Z Z--------------Y X X X Z------------------ANS 999911118888--------19998--------

x=9, y=1, z=8

Q.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 notknow English he can act as an interpreter between B and C. No one spoke bothFrench and German. A knows German and was able to converse with D who doesn?tknow a word in German. Only one language was spoken by more than two persons.Each spoke two languages. Find who spoke what.

Q.there are 12 in a refridgelator out of which there are 7 blue bottles and 5 red bottles in how many ways can we take out bottles from the fridge such that atleast one blue and one red bottle is in the fridgeIf ques is to take 8 bottles out of 12 then,leaving at least 1 red and1 blue bottle in the fridge.no. of ways to select ,7c6*5c2 + 7c5*5c3 + 7c4*5c4ans=455

Q. Two size of envelope having color of red,blue, purple ,green..company made packages of three envelopes either same size same color or same size different color...how many packages possible if sequence of color doesn't matters?For same colour four combinations r possible GGG,RRR,BBB,PPPFour diff color four combinations r possibleGBR,GRP,GBP,RBPSo total 8 combination for each sizeSo no. Of package==16 ..NOT SUREQ. There have 12 basket,7 red balls and 5 white balls,find the probability of getting at least 1 red ball and 1 blue ball, if 8 balls are to be drawn ?Q. 2,6,30,60,130,221...tell 8 dgt in series??in this seriesT(n)=n^3+/- n+ for odd n and - for even nn=1 T(n)=1+1=2n=2 T(n)=8-2=6n=3 T(n)=27+3n=4 T(n)=64-4=60n=5 T(n)=125+5=130n=6 T(n)=216-6=210n=7 T(n)=343+7=350n=8 T(n)=512-8=504..Q. How many 4 digit number are their which have exactly 3 distinct digits.9*9*8*10. 1st position in 9 ways2nd postion z also in 9 ways3rd postion z in 8 waysbut for 4th position in 10 ways(he gave exactly 3 distnct digits 4th digit may r may not be same dat means in 0 ways we can select the 4th digit)ans=9*9*8*10repetationNo repeat..9*9*8*7Q. Q. How many arrangements can be made if there are 5 balls from which 3 are red, 1 is green, 1 is yellow. find the probability of getting all 3?

Q. The digital sum of the year 2007 is 2 + 0 + 0 + 7 = 9, which is a square number. How many years during the twenty-first century have a square digital sum?The twenty-first century runs from the year 2001 to 2100 inclusive, so with theexception of the year 2100, for which the digital sum is three anyway, the first twodigits of all the other years are fixed as 20. Hence for the sum of all the digits to besquare the sum of the last two digits number be two less than a perfect square.As the maximum sum of the last two digits is 18, the greatest sum will be 20.Therefore we can obtain digital sums of 4, 9, or 16, with the last two digits adding to2, 7, or 14 respectively.4: 2002, 2011, 20209: 2007, 2016, 2025, 2034, 2043, 2052, 2061, 207016: 2059, 2068, 2077, 2086, 2095That is, there are sixteen years during the twenty-first century for which the digitalsum is square.Q. Find the sum of all 4 digit numbers formed using digits 1,2,5,6.(n-1)! * (111...n) *(sum of the digits)=(4-1)!*1111*(1+2+5+6)=93324Q. There are 7men and 5women sitting in a circle fin all the possible way so that 2women will not sit together

Q. x^2-y^2= 16 and 2. xy=4 so find out x+y=? tell that both statement are required to find out the value of x+Y

x^2-y^2= 16 = 25-9 =5^2-3^2=> (x+y)*(x-y)=(5+3)*(5-3)=> (x+y)=(5+3)=8only one statement required.Q. Find four digit number fromed given digits 1,2,3,4,5,5,6,6Q. Find the 8th term ...3,11,31,69,1311^3+2=3,2^3+3=11,3^3+4=31,4^3+5, similarly 8th number 8^3+9=521Q. Number of 4digitd fomred unsing 1 2 3 4 5 5 6 6 .?8 numbers can fill 4 slots in 8P4 waystherefore we have, 8*7*6*5however 2 numbers repeat, so, we divide this by 2!*2!the ans would be - 8*7*6*5/2!*2!=420 ways.Q. There are 7 men and 5 women sitting in a circle, find the all possible way so tht 2 women wont sit together

7 man can sit in circle in (7-1)! waysthere are 7 places between 7 manwe have to sit 5 women in between themno of ways selecting the 5 places out of 7 places = 7c5no of arrangement for women= 7c5*5!now,total no of arrangement= 7c5*5!*(7-1)!= 7c5*5!*6!= 7p5*6!\Q. How many 4 digit no can be formed if1)the no will be an even no2)dey must be divisible by 43)no digit is repeated

a no. divisible by 4 is always evenlast two digit should be 04,08,12,16,20,...,96 (except 44,88) (total 22)04,08,20,40,60,80 (6) => 6*(8*7)=33612,16,24,...,92,96 (16) => 16*(7*7)=784total number of 4 digits which divisible by 4 = 336+784= 1120Q. Find the 8th term of this series 4,8,14,22,32 ?

4,+4, 8 +6,14,+ 8=22+10 =32 +12= 44 +14= 58 +16,=74

So the answer is 74Q. Find m+n? if a. (x+m)(x+n)=x^2+5x+mn b. mn=some value..,Options1) a is enough to derive the answer2) b is enough3) Both r needed4) Can't find using twox+m)(x+n)=x^2+5x+mn=> x^2+(m+n)x+mn= x^2+5x+mn=> (m+n)=5

1.a is enough to derive the answerQ. What is the next number of the following sequence5,6,6,5,6.5,8,7,9.5,?

Q. What is the next number of the following sequence1,3,1,2.5,5,1,4,5,4,8,7,?1+3+1=5,5/2 = 2.55+1+4 =10, 10/2 =54+8+7 =19, 19/2 = 9.5Q. Raju has 6 balls. Out of which 4 green 2 blue. He'll pick 2 balls.. Whats probability dat it contain 1 blue and 1 green.

{2c1*4c1}/6c2= 8/15Q. Two pipes a and b separately fill in 15/2 min and 5 min respactively and third pipe c can empty of 14l/m if all the pipes are open when the cistern is full, it is emptied in 1 hr. how many litres does the cistern hold?LET TOTAL WATER IN CISTERN=X LITERSPEED OF A=2X/15 L/M (SPEED=LITER/TIME)SPEED OF B=X/5 L/MSPEED OF C=14 L/MACCORDING TO QUESTION

X+(X/5+2X/15)*60=60*14X+=60*14X=40 LITERQ. There are 6 boll in bag out of them 4 green and 2 red, randomly picked two boll one by one so find the probabilty atleast one picked boll will be red?probality of selecting 1 red + probality of selecting 2 red =((2c1*4c1)/6c2)+((2c2)/(6c2))=3/5or6 balls 4 green and 2 redthere are three cases in this questionI. first ball is red and second is not redprob for this= (2/6)*(4/5)II. first ball is not red but second ball is redprob for this= (4/6)*(2/5)III. if both the balls are redprob for this= (2/6)*(1/5)now,required prob= prob(I+II+III)= (4/15)*(4/15)*(1/15)= 3/5 ans....Q. All the students of class are told to sit in circle shape. Here the boy at the 6 th position is exactly opposite to 16 th boy. Total number of boys in the class?Self..Q. Venkat has 1 boy & 2 daughters. The product of these children age is 72. The sum of their ages give the door numberof Venkat.Boy is elder of three. Can you tell the ages of all the three.

3,4,6LCM of 72 gives the best ages as 3,4,6.product =3*4*6=72Q. Is b a positive number?(1) 1,452*b > 0(2) -b < 0

Both requiredQ. The difference b/w the compound interest payble half yearly and the simple interest on a certain sum lent out at 10% p.a for 1 year is Rs 25. What is the sum?(a) Rs. 15000(b) Rs. 12000(c) Rs. 10000(d) none of thesesince CI-SI=25p{(1+5/100)^2 - 1}-P*10*t/100=25

p=10000Q. 5 cats can catch 5 mice in 5 minutes. How many cats does it take to catch 100 mice in 100 minutes?let x be no. of cat5 cat catch 5 mice in 5 min5 cat catch 1 mice in (5/5=1 min)1 cat catch 1 mice in 1*5=5 min1 cat catch 100 mice in 5*100 minx cat catch 100 mice in (5*100)/x minA/Q (5*100)/x = 100=> 5*100=x*100=> x=5Q. If in coded language23 = 1072 = 6365 = 6684 = 96Then97 = ?

2x(2+3)=107x(7+2)=636x(6+5)=668x(8+4)=969x(9+7)=144Q.If KING is coded as 17 and MASS is coded as 29 Then DON is coded as1) 21 2) 20 3) 18 4) NoneKING = 11+9+14+7=41 i.e (4*4)+(1*1)=17MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29DON = 4+14+15=33 i.e(3*3)+(3*3)=18