Latest TCS Aptitude Question SOLUTION: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?

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A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?

Asked In TCS madhurima (10 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Arpit Srivastava  (10 years ago)

one day work of man=1/3
one day work of women=1/4
one day work of boy=1/12
total one day work of man+woman=1/3+1/4=7/12
then work done by man+woman in 1/4th of the day=7/12*1/4=7/48
work left=41/48
boy's 1/4th day work=1/12*1/4=1/48
now, 41/48 work has to be done by x boys
so x/(41/48)=1/(1/48)
so x=41

Is this solution Helpfull? Yes (27) | No   

Sattam  (10 years ago)

41 boys is the answer

Is this solution Helpfull? Yes (8) | No (2)  

soumyadeep saha  (10 years ago)

lcm of (3,4,12)=12=total work
man's 1day work=12/3=4
womans 1 day work=12/4=3
boys 1 day work=12=12=1
now to complete work in 1 day total unit of work to be done in 1 day=12; therefore to complete in 1/4th day total work done must be 12*4=48 units.
now in 1 day man & woman work (4+3)units.
each boy does 1 unit work per day. so no of boys required to complete 48 units of work in 1 day= (48-7)/1=41 boys

Is this solution Helpfull? Yes (7) | No (2)  

aditya  (10 years ago)

41 is correct

Is this solution Helpfull? Yes (1) | No   

Amit Kumar  (10 years ago)

how you got that

Is this solution Helpfull? Yes | No (3)  

sreebhuvan  (10 years ago)

ans :
7/4

Is this solution Helpfull? Yes | No (12)  

darshan soni  (10 years ago)

41 boys is correct ans

Is this solution Helpfull? Yes | No (1)  

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