# Tech Mahindra Placement: Sample Questions 29 - 30 of 42

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## Question 29

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### Write in Short

15 men take 21 days of 8 hours to do a piece of work. How many days of 6 hours each would do if 21 women take, if 3 women do as much work of 2 men?

### Explanation

15 men take 21 days of 8 hours to do a piece of work.

3 women = 2 men

So, 1 woman = men

21 women = 14 men

Let women take x days to complete same work.

Now,

Women will take 30 days to complete the same work.

## Question 30

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### Write in Short

What is the missing term in the series?

169,225, — -, 361,441

### Explanation

• Here, all the terms are square numbers and its square root is alternate numbers starting from 13.
• First term of the given series is 169, which is square of 13.
• Second term of the series is 225, which is square of 15. Difference between 13 and 15 is 2.
• Third term of the series need to be find out.
• Fourth term of the series is 361, which is square of 19. Difference between 15 and 19 is 4.
• Fifth term of the series is 441, which is square of 21. Difference between 19 and 21 is 2.
• For the third term difference between second and third term should be 2.
• So, it should be 17. Square of 17 is 289.
• So, third term should be 289.

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