# Aptitude [TCS Placement]: Sample Questions 19 - 21 of 174

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## Question 19

Aptitude
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### Write in Short

Complete the series 2, 7,24, 77, — -?

### Explanation

• First term of the series is 2.
• Second term of the series is 7, i.e..
• Third term of the series is 24, i.e..
• Fourth term of the series is 77, i.e..
• Following the same pattern we can find the next term of the series.
• Next term will be

## Question 20

Aptitude

### Question

MCQ▾

A can do a piece of work in 20 days and B can do it in 12 days. B worked at it for 9 days. In how many days A alone can finish the remaining work?

Choice (4)

a.

6

b.

12

c.

8

d.

5

d.

### Explanation

• A can do a piece of work in 20 days and B can do it in 12 days.
• B works for 9 days.
• In 12 days B can complete the whole work
• So, in one day B can complete work
• In 9 days B can complete work
• Yet, 1/4 work is remaining, which A has to complete.
• A can complete the work in 20 days.
• So, in one day A can complete work
• So, to complete 1/4 work, A will take = = 5 days
• A will complete the remaining work in 5 days.

## Question 21

Aptitude
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### Write in Short

Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replaced by a new man. Find age of the new man.

### Explanation

• Let the average of 18 men be x previously.
• So, total age of 18 men = 18x
• It becomes x - 1 when one man of age 49 is replaced by a new man.
• Let the age of new man be y years.

• So, age of new man is 31 years.

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