Latest TCS Aptitude Question SOLUTION: A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces and a child eats ½ a piece of pie. What is the number of men, women children, so that 20 people

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A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces and a child eats ½ a piece of pie. What is the number of men, women children, so that 20 people in total and everyone get the same pie? There are 20 pieces of pie in all.
7 women, 1 man, 12 children
5 women, 1 man, 14 children
4 women, 2 men, 12 children

Solution

in third option total number of persons are 18 so it would be wrong.
in a option 7*2 + 1*3 + 12*1/2 = 23 pie so it would also be wrong
now 2nd option 5*2 + 1*3 + 14*1/2 = 20
so b option is correct

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Asked In TCS Somil Nain (13 years ago)

Solved Read Solution (7)

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Read Solution (7) :

RITESH ARYA  (13 years ago)

option b
5*2 + 1*3 + 12*1/2= 20

option c cancels out as total no. of people r 20

Is this solution Helpfull? Yes (13) | No (4)  

Somil Nain  (13 years ago)

c)
4*2 + 2*3 + 12*1/2 = 20 pieces

Is this solution Helpfull? Yes (11) | No (7)  

Somil Nain  (13 years ago)

b) as total no of people also needs to be 20

Is this solution Helpfull? Yes (8) | No   

smita dasgupta  (13 years ago)

answer is b)

Is this solution Helpfull? Yes (4) | No (1)  

ROON  (13 years ago)

not sure option B)

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

priyanka phadatare  (8 years ago)

5 women 1 men 14 children

Is this solution Helpfull? Yes | No   

Ashish singh  (8 years ago)

Let the men be m, women be w and the children be c
According to the given condition, two equations can be formed
3m + 2w + 0.5c = 20...........(i)
m+w+c = 20..........(ii)
m = 20-(w+c).........(iii)
From equation i and iii
3(20-(w+c)) + 2w + 0.5 c = 20
60 - 3w-3c+2w+0.5c = 20
40 = w+5c/2
=> c = 2(40-w)/5
For c is to be integer,
w = 5, w= 10, w = 15 and so on

w= 5, c = 14, m = 1
w=10, c=12, m = (-)ve
Thus, and is ,
w= 5, c =14 and m =1

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