Rmat Mat GMAT Cat Questions

8/14/2019 Rmat Mat GMAT Cat Questions

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5 DECEMBER 09 www.afterschool.tk 1

MOCK MAT / RMAT / CET

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mobile : 91+9414430763


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In a certain code, BASIC is

written as DDULE. How isLEADER written in thatcode?

Write down numberical value of BASIC : 2,1,19,9,3 Now seeDDULE : 4,4,21,12,5

thus we can see that once it is increase by 2, and then by 3, andso on. In same manner, LEADER : 12,5,1,4,5,18

so it should be : 14,8,4,6,8,20 which is : NHDFHT


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solution

Let the age of son = X

Mother's age = 4X

4X+ 7=2(X+7)+5

4X-2X=19-7

2X = 12 or X = 6 so present age of Mother andSon : 25 : 7 answer


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There are six persons A, B, C, D, E and F. C is thesister of F. B is the brother of Es husband. D is the

father of A and grandfather of F. There are two

fathers, three brothers and a mother in thegroup. Who is E's husband?

It seems that E and A are a couple. A and B areBrothers and they are sons of D. A is also

father of C & f. So answer is A.


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Fabric X has to go through three stages of manufacturing vizspinning, weaving and dyeing. In Anil Textiles company, there are

six spinning machines, ten weaving machines and five dyingmachines. Each machine works for 10 hrs a day. One unit of Fabric

X needs 40 minutes on a spinning machine 2 hours on a weavingmachine and 30 minutes on a dyeing machine in order to be

completed. Similarly one unit of Fabric Y needs 60 minutes on aspinning machine 30 minutes on a weaving machine and 60 minuteson a dyeing machine in order to be completed. In a day, how many

units of Fabrie Y can be completed at most?Spin : (6 * 10 ) /1 = 60 unit

Weav : (10*10) / .5 = 200 units

Dye : (5*10)/ 1= 50thus 50 units (the least) of fabric Y can be

made in a day. Ans.


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In a class, 50 students play Cricket, 20 studentsplay Football and 10 play both Cricket andFootball. How many play atleast one of these

two games? 80, 50, 10, 60

50 (includes 10) -10 = 4020 (includes 10)-10= 10

+ 10 (who play both the games)

=60 students who play at least one of thesegames.


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A bottle is full of Milk. one-third of it is taken out andthen an equal amount of water is poured into the bottle to

fill it. This operatoin is done four times. Find the finalratio of milk and water in the bottle.

1/3rd is taken out so left out is 66%.

Initially milk is 100% then it is 66% (1st) then

it is : 66*66% = 43.56 (2nd ) now again

43.56*66% =28.74% (3rd time), again :

28.74*66% = 18.97% (4th time).

Thus milk and water are : 19:81 answer


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In a tournament Indian Hockey team plays 2 matches eachwith West Indies and Australia. The probability of getting

0, 1 and 2 points (India) is 0.45, 0.05 and 0.50respectively. Assuming outcomes are independent what is

the probability of India gettingat least 07 point?

India will get 7 points if it wins 3 matches and draws 1 match.India will get 8 points if it wins all 4 matches.

The probability of getting 8 points : .5*.5*.5*.5 (all wins) = .0625

probability of getting 7 points :(3 win+1 draw) (.5*.5*.5*.05)+(.5*.5*.05*.5 )+ (.5*.05*.5*.5 )+( .05*.5*.5*.5) = .03

thus total probabilty (add probability for 7 point and 8 point) =.0925


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A company produces two types of shirts Mens shirtsand Womens shirts. The profit margin in mens shirt is8%, while overall profit markign is 6%. The womensshirt comprise 60% of total output. What is the average

profit per sales rupee in womensshirt?

Let us suppose that 100 units are produced, outof which 60 are Woman(WS) and 40 are Man

(MS). Total profit is 6. 8% of 40 or 3.2 is

contributed by MS, so (6-3.2) = 2.8 iscontributed by WS which is 4.7% answer


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The probability of solving a questions by threepersons who are working independently on it is

1/3, 1/4 and 1/5, then what is the

probability that questions cant be solved is

Question cant be solved by 1st : 2/3, by 2nd :

and by 3rd : 4/5

thus none can solve : 2/3 * 3/4* 4/5 = 2/5answer


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A,B,C speak one statement true and one false.A says to B : I am a thief. 2. You are aDoctor. B: Yes, I am a doctor C is a

thief. C adds : 1. I am a theif. B is aDoctor. Who is theif ?

Let us suppose A's 1Let us suppose A's 1stst

statemet is right, 2statemet is right, 2ndnd

statement is wrong. Thusstatement is wrong. Thus

B's 1B's 1stst statement is false and 2statement is false and 2ndnd right. C's 2right. C's 2ndnd statement is false, thusstatement is false, thus

11stst

is correct. Here there are two theifs A and C.is correct. Here there are two theifs A and C.

If we assume A's 2If we assume A's 2ndnd

statement to be correct, then A is not a theif,statement to be correct, then A is not a theif,

and no one is a theif.and no one is a theif.

Thus either no one is theif or A+C both are theives. Logically , NOThus either no one is theif or A+C both are theives. Logically , NOONE is theif here.ONE is theif here.


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A,B,C each deposit Rs. 1000 in a partnership. Out ofthis A takes away half of his capital after 6 months, Btakes away 25% of capital 4 months before the year

end. And C doubled his money after 3 months. Out ofprofit of 82000 how much will A get?

A _ (6*1000) + (6*500) = 9000

B= (8*1000) + (750*4) = 11000c = (3*1000) + (9*2000) = 21000

their profit sharing ratio : 9:11:21

A will get : 9/(9+11+21) * 82000 = 18000answer.


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Who is Noble peace prize winner

for 2009?

Barak Obama


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Who won booker award in 2009?

Hilary Mantel


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Who is the president of United

Nations ?

Dr. Ali Abdussalam Treki


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How many seats did congress win

in the last national election?

206 out of UPA 259 seats out of total 543


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Who won the filmfare award for

best film in 2008?

53rd filmfare award for best movie : tarezemeen pe


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Name the books written by

Chetan Bhagat ?

5 point someone

one night at call centre

3 mistakes of my life

2 states a story of my marriage


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Name the MD of IMF?

Dominique Strauss-Kahn


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WHO IS THE DIRECTOR OF 3

IDIOTS?

RAJKUMAR HIRANI


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WHO WON THE DATASAHEB

PHALKE AWARD 2008?

cinematographer V K Murthy


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NAME AUTOBIOGRAPHIESOF INDIAN CRICKETER

GAVASKAR ?

Sunny Days : Sunil Gavaskar


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HOW MANY CENTURIESHAVE BEEN HIT BY

TENDULKAR ?

45 IN ONE DAY

46 TEST MATCHES

(46TH AGAINST BANGLADESH ON 21DECEMBER 2009)


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Which of these is correct?

1. although he worked very hard, but he hasfailed.

2. although he had worked hard, yet he hadbeen failed.

3. although he worked very hard, yet he failed.

Answer : 3


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Which of these is correct?

1. He reached station before the train hadreached

2. he had reached the station, where train hadreached after him.

3. he had reached the station before the train.

Answer : 3.


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Arrange the following in proper

order :

a) if she ate a monkey's heart

b)One day, she pretended to be very ill and told thecrocodile that

c)If her husband wanted to save her life

d)the doctor said that she would only recover

e)he must bring her his friend's heart

answer : B D A C E


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Ram and Shyam had equal money which they


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Ram and Shyam had equal money, which theydeposited in two different banks. One got 10% simple

interest, but the other got 5% half yearlycompounding interest. At the end of 2 years, their

amounts had difference of Rs. 10, what was theoriginal amount deposited by them?

Let us suppose they deposited 100 each. First

person will get : 100+10+10 = 1202nd person will get : 100 + 5 + 5.25 + 5.5125 +

5.79 or 5.80 = 121.56

the difference is 1.56, if difference is 10, theprincipal should be : 10/1.56* 100 = 600 by

each approx.

A h k i h f 900


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A shopkeeper uses weight of 900 gramsinstead of 1000 grams (1kg) while selling.

He sells at his cost + 10%, what is hisactual profit in %?

He sells 900 grams when he is charging for1000 grams. Suppose he purchased 900 for Rs.900. His cost is 900, but he is charging for

1000 + 10% = 1100

his profit is 200 on 900, or 200/900 *1000 =22.2% answer

A i l ( f i i ibl ) i


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A circle (of maximum size possible) isinserted inside a squre. How much of the

area of square is still left out of total areain %?

Let us suppose that the side of square is 14.

area of square is 14*14 = 196area of circle : 22/7*7*7 = 154

area left : 196-154 = 42

in % = 42/196 *100 = 21% approx. Answeryou can assume any value instead of 14 and tryto work out the %, the answer will be the same.


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Out of the following chart, please,tell how many female students got

between 50 - 60% in PGPSE ?

> 6 05 0 - 6 0< 5 0 t o t .

m a l e 1 8 1 8 8 0

f e m a l e 2 4 03 0 2 0 1 2 0


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Solution...

We can see that 12 girls got more than 60%marks.

40 12 2 = 26 got between 50 to 60%.

answer


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Based on the data given below,

find out sale of Raju TV store.

1990 was the first year, when Raju TV sold

100 TV. Every person who buys TV buysagain after 4 years. Raju sells 400, 600, 800TV in 94, 98, 99 respectively. There was no

new customer in 2000, but the sale was simpleaverage of sale of 1990 and 1994. How manyTV did Raju TV sold in 1996.


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solution....

Average of 1990 and 1994 = 250

no new customer in 2000, so 250 TV will besold as repeat customers.

Thus sale in 1996 = 250 TV.

R Aj d R i (3 f i d ) i h i k


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Ram, Ajay and Ravi (3 friends) are experts in three games cricket,hockey and golf. One of these live in Delhi, and other two live inMumbai. The person who lives in Delhi doesnt like Golf. Hockey

player lives in Mumbai. The person whose name is smallest is also

the best player of Golf. Ajay daily goes to his friend's home. Ravihas to visit Mumbai twice a year. Who plays cricket?

Ajay lives in Mumbai (he cant be Delhi, as he

daily visits his friend). The person who lives inDelhi doesnt like Golf, he also cant play

Hockey (Hockey player is in Mumbai), so that

persn plays Cricket. So the person who lives inDelhi plays criciket. Ravi visits Mumbai,so helives in Delhi. Ravi plays Cricket.

N ' t l d f th d t l d th b th


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Nanu's maternal grand father, and maternal grand mother both aredoctors. His father is Engineer, but his mother is Professor. A is elderto C, but Younger to B. D is wife of A. E is husband of B. The eldestperson is a male but he is neither A nor Nanu. Out of two ladies, the

elder is Doctor and younger is professor. Who is Engineer. Whichstatement is redudant?

A is engineer (as he is the second male inhierarchy). The last statement : out of twoladies, the elder is doctor and younger is

professor, is redudant as it is not required).


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118, 66, 252, 137 ....

Look at the series, you find that 66 has been

computed from 118 as under :

1^3+1^3+8^2 = 66, similarly

6^3 + 6^2 = 252

so : 137 = 1^3 + 3^3 +7^2

= 77 answer


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What will come next :;;;

1,8,27,64... so on???

1^3 = 1, 2^3 = 8, 3^3 = 27, 4^3 = 64, 5^3 =125,

thus answer is 125.


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X has to organise his lecture plan. He has to teach


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as o o ga se s ec u e p a . e as o eacentrepreneurship, Planning, Finance, and Law on 4 days

and one day is for IT. IT must be before Law, but

Planning should not be on the 1st day. Finance and IT

must be on any of the last 3 days. Prepare completeschedule.

Solution: Last day : law, 2nd last IT, 3rd last :Finance, 4th last : Plannning; the first day :

Entrepreneurship. It is better to solve the lastday first in this types of questions.

Answer.

A B C D are working on a project with


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A,B,C,D are working on a project withdifferent names. W is not A, B is not Y orZ. D and E have no relation to C and W

Who is A?

Answer cannot be determined / data inadequate

Th b h


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There are two numbers whoseHCF and LCM are 8 and 25, what

are those numbers?

No such numbers are possible as LCM 25 isnot divisible by 8, LCM is always divisible by

HCF. Answer

M k B h b i il f hi


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Mayank Bothra wants to bring tiles for hisroom. His room's size is 28 feet by 20 feet.What should the size of square tile, so that

minimum number of tiles are used?

Find HCF of 28 and 20. The HCF is 4, so thesize of tile should be 4 feet by 4 feet. The totalnumber of tiles required will be : (28*20)/(4*4)

= 35 tiles answer

A k i t i t li b D t t H li b 4


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A monkey is trying to climb a Date tree. He climbs 4feet in 2 minutes, but in the next 1 minute, he slips by3 feet. When will he reach at the top of this Date tree

which is 36 feet high?

Actually he travels 1 feet in 3 minutes. He hasto travel (36-4) = 32 feet, which will take 32*3

= 96 minutes. Then in the next 2 minutes he

will be at the top of the tree. Thus he will take98 minutes in all.

M k B th b l @ 4


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Mayank Bothra buys apples @ 4for Rs. 3 and sells them @ 3 for

Rs. 4. what is his profitability?

There are two important numbers 3 and 4, so

let us take LCM of 3 and 4, this is 12. let usassume Mayank got 12 apples. He had to pay 9to buy 12 apples. Now he goes to sell them, he

gets Rs. 16 when he sells them. His profit is(16-9) 7, so his profitability is 7/9 *100 =77.77% answer

Naresh Jain makes payment to a shopkeeper.


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p y p pBy mistake the shopkeeper reveses the digits of

the amount to be paid and takes Rs. 54 more

than what was required. What was the actualpayment due?

Hit and try for this type of question. Try for 39and 93. 93-39 = 54. The shopkeeper has taken93 instead of 39. So the amount due was 39.

answer

A and B run opposite to an elevator The ratio of the speed


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A and B run opposite to an elevator. The ratio of the speedof elevator, A and B is : 1:6:3 Elevator is going up, but Aand B are coming down. A takes 1 minute and B takes 2.5

minutes to come down. How much time will they take ifelevator was not moving?

If elevator is not moving, they will take less

time. Look at the speed ratios. A will take 1/6time less so he will take 60 seconds 10

seconds= 50 seconds and B will take 1/3 time

less, so he will take : 150 seconds (150*1/3)= = 100 seconds. Answer. 2.5 minutes = 150seconds


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Ajay has to pay to Mayank Rs. 1100 after1 year. What should he pay now and settle

the accounts? Rate of interest is 10%

We have to find the present value of 1100

formula of present value is (Amount * 100)/(100 + rate of interest * no. Of years)

= (1100 *100) / (100 +100) = 1000

A, B,C, & D start a game. In the beginning all of them had


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equal amount. The winner has to collect half the amount

of all other players. In the first round C wins. In the 2nd

round B wins and in the 3rd round B again wins. At this

time, their scores are : A : 50, B : 1250, C : 250 D : ?What was the score of each of these in the beginning ?

The score of D should be equal to that of A =50. Now add the score of all of these, we get

1600. Thus each of these should have score of

1600/4 = 400 answer

A thief steels a necklace and runs @ 10


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A thief steels a necklace and runs @ 10Km per hour at 3 pm. After 18 minutes,a policeman starts chasing him @ 15 kmper hour. Whenwill the thief be caught?

At the speed of 10, the thief would have run 10*18/60 = 3 Km. So policeman has to chase him

for this distance to start : 3 / (15-10) * 1/60

=

Mayank Bothra wants to get his room


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y gcoloured. His room is 10 Ft by 20 Ft.

Assuming that colouring costs Rs. 100 per sq.

ft., how much will Mayank pay (for fourwalls), height of walls is 10 feet?

The side towards length :

20*10 = 200

the side towards width :

10*10 = 100

total 4 walls (200*2+100*2 )=600 ft.

Total payment : 600*100=Rs. 60000 ans.

Rishi has put his icecream in a rectangular


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Rishi has put his icecream in a rectangularbowl of 10*20 inch with depth of 5 inch. Nowhe wants to make a round ball out of this. What

will be the diameter of this ball?

Total quantity of icecream = 10*20*5 = 1000 cubic inch

volume of sphere : = 4/3*pi*radius^3= 4/3 22/7*r*r*r = 1000

r= cubic root of (21000/88)

r= 6.5 approx. Or diameter= 13 inch approx. Answer


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In a typcial coding exercise, a person saysthat RAM= 32, and SITA= 49, what will

be KRISHNA In that code?

RAM = R= 18, A=1, M = 13 so adding these

RAM = 32

SITA, S=19, I=9, T=20,A=1

Adding these we get 49, so KRISHNA should

be : K=11,R=18,I=9,S=19,H=8,N=14,A=1TOTAL = 80 ANSWER


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A group leader puts his group in rows and columns.


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A group leader puts his group in rows and columns.He finds that the number of rows and columns are

equal. He finds that 20 more persons have to come. If

he puts these 20 persons, there is one more completerow or one more column. What is the number ofpersons in his group?

It is clear that there are 20 rows and 20columns, so total number of persons is 400.

add 20 more persons to it, you get :

20*20 = 400 + 20 = 420 answer

Mayank has some money in his pocket. He gives me half of this.


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y y p gNow he spends 75% of the remaining on purchasing a shoe. He then

realises that he has to buy a T shirt also. So he spends 80% of theremaining on a T-shirt. He is now thirsty and so spends 20% on a

mineral water bottle. He is left with Rs. 40. How much did he havein the beginning?

Start from last, multiply each value by 100/ (100-what %

is spent) :40*100/80 = 50

50*100/20 = 250

250*100/25 = 1000

1000*100/50 = 2000

thus he had 2000 in the beginning


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What is BODMAS?

B= BRACKET

O = OF

D=DIVISIONM=MULTIPLY

A = ADDITION

S=SUBTRACTapply these in this sequence only.

So 9+9/9-2*1of (2-3*1/3) = 9+1-2= 8


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A goes from X to Y at 10 am and will


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greach at 12 and B goes from Y to X at 9

and will reach at 12. when will they cross

each other?

A travels for 2hours, B for 3 hours. Let us assume that thedistance is (2*3) = 6 KM. A travels @ 3 KM per hour andB @ 2 km per hour. At 9 B starts, till 10 he covers 2 KM.Now gap between A and B is 4 Km. Divide 4 by (2+3) =

4/5 = .8 , so they will meet at 10 + (.8 * 60) = 48 minutes.So They wil meet at 10 + 48 min. Ans

A puts an item at 10% discount, before


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A puts an item at 10% discount, beforedoing this he had actually increased the

marked price by 10%, what is the changein his revenue?

Let us assume that the earlier marked price is

100. add 10% = 110, now A reduces it by 10%(10% discount on marked price) so he gets

110-11 = 99

thus there is 1% reduction in his revenueor (10% * 10% = 1%)

A takes up 2 types of rice one at 10 per


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p yp pkg and another at 50 per kg, how shouldhe mix these to get a profit of 20% when

he sells them @ 30 per KG?

Sale price is 30, so cost should be 30*100/120 = 25

in order to get the ratio of mixture, let us deduct 25 from10 and 50, we get : 15 and 25, now reverse these ratio :

25:15 or 5:3,

thus rice of the rate 10 should be 5/(5+3) = 5/8 and rice of

rate 50 should be 3/8 or their ratio should be 5:3 answer.

A d B t d h fit i th it l tiA d B t d h fit i th it l ti


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A and B are partners and share profit in the capital ratioA and B are partners and share profit in the capital ratio

of 3:2, however, A withdraws his half of the money afterof 3:2, however, A withdraws his half of the money after

5 months, and B doubles his money after 8 months, what5 months, and B doubles his money after 8 months, what

is the final profit sharing ratio?is the final profit sharing ratio?

For first six months, the capitals are in the ratio

of 3:2, but now there is some change.A withdraws 1.5 and after 2 more months, B

adds 2 more.

Thus (3*6months + 1.5*6months) : (2*8months + 4*4months)

27: 32 answer


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A:B = 2:3, C:D = 3:4, B:D = 3:2,

what is A:C?

In A:B and B:D, we have B common, so

A:B:D = 2:3:2

We know that C:D is 3:4, so keep the value ofD as 4, thus new ratio is :

A:B:C:D = 4:6:3:4

thus A:C = 4:3 answer

A can complete a work in 20 days and B cand h k i 30 d B h k


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do the same work in 30 days. Both worktogether for 1 day and get 500 as total amount,

how should this money be divided between Aand B?

A: B should be 30:20 (reverse of 20:30 thenumber of days taken by them in doing the

work).

Thus A should get : 300 and B 200 answer.

A,B,C start a work together. A can doA,B,C start a work together. A can do


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, , g, , g

it alone in 20, B in 30 and C in 40 days,it alone in 20, B in 30 and C in 40 days,

in how many days will they finish thein how many days will they finish the

work?work?

A's one day work : 1/20, B's one day's work :1/30 and C's one day's work : 1/40,

add them : 1/20 + 1/30 + 1/40

(6+4+3)/120 = 13/120 , now reverse it :120/13 = 9.2 days or 10 days approx.

There are 720 students in an examination out ofThere are 720 students in an examination out of


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There are 720 students in an examination, out ofThere are 720 students in an examination, out of

them, 1/3them, 1/3rdrd

fail in English, 1/4fail in English, 1/4thth

fail in Mathematics,fail in Mathematics,

1/81/8thth

fail in both the paper. How many dont fail infail in both the paper. How many dont fail in

any paper?any paper?

Out of 720, 240 fail in English, and 180 fail inMathematics and 90 fail in both the paper.

Thus the total number of students who havefailed in either paper : 240+180 90 = 330

thus the students who have not failed in anypaper is : 720 330 = 390 answer

Kapil is 4th from top and 106th


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Kapil is 4 from top and 106 from bottom. How many students

are there in total ?

There are three students before Kapil, 105below him and he himself so : 3+105+1 = 109

or

4+106 1 = 109 answer

A and B have salary in the ratio of 10:11, but their savings are


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y , gin the ratio : 3:7, but now their salaries increase by 100% each.

If earlier their total savings was Rs. 2100, what is their newsavings, if they dont change their expenditure and they spend

equal amounts?

Their total savings : 2100, so A saves 3/10 *2100 = 630 and B

saves : 7/10 * 2100 = 1470difference of their savings is : 840, so A should earn 840 *10 =

8400 and spend (8400-630) = 7770 and B should earn 9240and save (9240-1470) = 7770. thus their new incomes are :

16800 and 18480 and new savings are : (16800 7770) = 9030

and (18480-7770) = 10710 answer

A and B run a race and A gives B a start


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gof 100 meters in 1000 meter race, still A

wins by 1 second or 1 meters. What is theratio of their speeds?

B takes 1 second to cover 1 meters, so his speed is 3600 meters

per KM or 3.6 km per hour. He has actually run 900 metersonly. He should take 900/3600*60 = 15 minutes

A has run 1000 meters in 14 minutes and 59 seconds. So hisspeed is 40 KM per hour approx.

Thus the ratio of their speed is 40:36 or 10:9 answer


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Which is more 3^1/3 or 4^1/4?

Let us take the two powers : 1/3 and 1/4, let us

now get same powers. LCM of 3,4 is 12, so letus multiply them by 4/4 and 3/3, we get : 4/12

and 3/12. we can now solve the numeratorpowers : so answer is : 81^1/12 and 64^1/12

now we can see that 81^1/12 is bigger, so theanswer is 3^1/3 is bigger than 4^1/4


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