Latest TCS Aptitude Question SOLUTION: # 11 Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of

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# 11
Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $32. How much money (in $s) did Ana, Bill and Clare have to begin with?

52, 28 and 16 respectively.
64, 24 and 8 respectively.
60, 20 and 16 respectively.
Cannot be determined from the given information

Asked In TCS NITISH KUMAR (10 years ago)

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Read Solution (6) :

Shalini Bansal  (10 years ago)

52,28,16
solve through options

Is this solution Helpfull? Yes (15) | No (4)  

aditya  (10 years ago)

ans is 56,32 & 8
here options are incorrect
let Ana have $x
Bill-$y
and Clare-$z
after 1st condition- Ana will be having $(x-y-z)
Bill will be having $2y
Ana will be having $2z
now after 2nd condition - Bill will be having $(2y-2z-(x-y-z))=$(-x+3y-z)
Clare will be having $4z
Ana will be having $(2x-2y-2z)

then each of the people had $32.

this gives 4z=32
z=8
solving oher two eqns we get the ans as 56,32 8

Is this solution Helpfull? Yes (9) | No (2)  

anamika  (10 years ago)

52,28,16.
solve these typ of ques thru backtracking
atlast they were having (ana bill clare): 32 32 32, b4 it 16 16 64,b4 this 8 56 32,and at first 52 28 16.

Is this solution Helpfull? Yes (8) | No (3)  

DIVYA KUKRETI  (10 years ago)

ans is 52,28 and 16 respectively
let us solve it through backtracking
let Ana,Bill and Clare have 52,28 and 16 $ respectively.
according to 1 condition....
$ for Ana=52-(28+16)=8
for Bill=(28+28)=56
for Clare=(16+16)=32
according to second condition...
$ for Bill=56-(8+32)=16
for Ana=8+8=16
for Clare=32+32=64
according to third condition...
$ for Clare=64-32=32
for Ana=16+16=32
for Bill=16+16=32

Is this solution Helpfull? Yes (6) | No   

aditya  (10 years ago)

ans is 56,32 & 8
let Ana have $x
Bill-$y
and Clare-$z
after 1st condition- Ana will be having $(x-y-z)
Bill will be having $2y
Ana will be having $2z
now after 2nd condition - Bill will be having $(2y-2z-(x-y-z))=$(-x+3y-z)
Clare will be having $4z
Ana will be having $(2x-2y-2z)

then each of the people had $32.

this gives 4z=32
z=8
solving oher two eqns we get the ans as 56,32 8

Is this solution Helpfull? Yes (2) | No (1)  

Guru Pranav  (10 years ago)

Solve it through option's!!!

52,28,16,
8 => 28+ 28
16=> 8+8 +32 +32,
32=>16+16 + 16 +16=>32 + 32 !!!

Is this solution Helpfull? Yes (2) | No   

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