# Aptitude [TCS Placement]: Sample Questions 78 - 79 of 174

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## Question 78

Aptitude
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### Write in Short

A man, a woman and a boy finish work together in 6 days. Man takes 10 days, woman takes 24 days then how much boy will take?

### Explanation

• A man, a woman and a boy together can complete a work in 6 days.
• Man alone takes 10 days while woman takes 24 days to complete the same work.
• Let child takes x days to complete the work.
• Writing this statement into equation form,

1/x + 1/10 + 1/24 = 1/6

1/x = 1/6 - (1/10 + 1/24)

1/x = 1/6 - 17/120

1/x = (20 - 17) /120

1/x = 1/40

x = 40

• Boy will take 40 days to complete the same work.

## Question 79

Aptitude
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### Write in Short

A, B, C, and D tells the following times by looking at their watches. A tells it is 3 to 12. B tells it is 3 past 12. C tells it is 12: 02. D tells it is half a dozen too soon to 12. No two watches show the same time. Whose watch shows maximum time?

### Explanation

• Person A tells time is 3 to 12, i.e.. time is 11: 57
• Person B tells time is 3 past 12, i.e.. time is 12: 03
• Person C tells time is 12: 02
• Person D tells time is half a dozen too soon to 12, i.e.. time is 11: 06
• We are asked to find whose watch is showing maximum time.
• By observation we can say watch of person B is showing the maximum time, i.e.. 12: 03

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