Latest Tech Mahindra Aptitude Question SOLUTION: Q. Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake wa

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Q. Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.

Option
a) 6 women, 2 men and 12 children
b) 7 women, 1 men and 12 children
c) 5 women, 1 men and 14 children
d) 4 women, 2 men and 14 children

Asked In Tech Mahindra pulkit sharma (10 years ago)

Solved Wasim Ahmed Read Solution (21)

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Read Solution (21) :

Wasim Ahmed  (10 years ago)

c.5 women, 1 men and 14 children

Solution:

Let the number of men be m, number of women be w and number of children be c
Total number of pieces = Pieces ate by men + Pieces ate by women + Pieces ate by children
There are 20 total pieces. Also a man eats 3 pieces, a woman eats 2 and children half. Therefore above equation becomes.
20 = 3m + 2w + 1/2c
In the above equation, you have to substitute the values given in options to find which one satisfies the equation.
Option c with m = 1, c = 14 and w = 5 perfectly satisfies the equation as follows
20 = 3(1) + 2(5) + (1/2)(14)
20 = 20 i,e our equation is satisfied perfectly by option c

Is this solution Helpfull? Yes (38) | No (2)  

Sunku Mounika  (10 years ago)

According to the options given we need to substitute the values and the ans is c.

Is this solution Helpfull? Yes (8) | No   

Ann Mary Jolly  (10 years ago)

Ans: c.5 women, 1 men and 14 children
No. of people who ate the cake = 19(of his frnds)+1(Karthikeyan) = 20
Out of these,let there be x men,y women and z children.
The x+y+z = 20......(1)
total no. of cake pieces = 3x+2y+z/2 = 20
Muliplying the above equation by 2, 6x+4y+z = 40......(2)
Subtracing the equation (1) from equation (2),
5x+3y = 20.
From the given options,if there are x men y women,only option C satisfies.
And no. of children = 20 -(x+y) = 20 - 6 =14....which is true in opion C.

Is this solution Helpfull? Yes (3) | No   

mohini  (10 years ago)

3m+2w+1/2 ch=20
3*1 + 2*5 + 1/2*14 = 3+10+7=20
so c)

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Manohar  (10 years ago)

answer option:-c

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

swathi sri  (10 years ago)

ans (c)
5 women ;2 pieces = 5x2=10
1 men;3 pieces = 1x3=3
14 children;1/2pieces=14x1/2=7
TOTAL 20

Is this solution Helpfull? Yes (1) | No   

Akshay Gunawadiya  (9 years ago)

D. 4 women x2 =8
2 men x3 =6
14 childerns X1/2=7
TOTAL=21
20 frnds of Karthikeyan and 1 himself kartikeyan.

According to question-
20 of his close friends were invited
Karthikeyan will get his share.
TOTAL 21 people

Is this solution Helpfull? Yes (1) | No   

Mahesh  (10 years ago)

Answer is 3 men , 2 women and 14 children

Is this solution Helpfull? Yes | No (4)  

mayank garg  (10 years ago)

C
14 children eats 7 pieces, 1 men eats 3 pieces and 5 women eats 10 pieces so total number of pieces are 20

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Manne Hareesh  (10 years ago)

5 women eat 10pieces,1 men eat 3pieces and 14 children eat 7pieces so the total number of pieces are 20.so c is correct answer.

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jyothi sr lakshmi  (10 years ago)

option c
(5*2)+(1*3)+(14*1/2)

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ARAVETI VASAVI  (10 years ago)

ans is option C

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Dhananjay Singh  (10 years ago)

5 woman=5*2=10
1 man=1*3=3
14 child=.5*14=7
total=20 answer c

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MOUNIKA REDDY  (10 years ago)

optn verificatn takes less time by taking 19 mem, bcoz 1 man left b4 cake cuttng.

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harshit gupta  (10 years ago)

c) Because acc to calculation there are total 20 pieces
20 = 3*2 + 1*3 + 14*(1/2)
Only this option satisfies the condition.

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Satish  (10 years ago)

answer is C from options

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Chinarayudu Yalakanti  (10 years ago)

answer is option c

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Manish Kumar  (10 years ago)

answer (c)
total pieces=20
women=5*2=10
man=1*2=2
chil=14*12=7

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Anand Sanmani  (10 years ago)

C) 5W,1M and 14C

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janardhan babu  (10 years ago)

5 women,1 men,14 children

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Gembali Rakesh Kumar  (10 years ago)

option c by substituting the values in equ 3m+2w+1/2c=20

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