# Aptitude [TCS Placement]: Sample Questions 24 - 26 of 174

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## Question 24

Aptitude
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### Write in Short

Find the missing in the series: 70, 54,45, 41, ________.

### Explanation

First term of the series is 70.

Second term of the series is 54, i.e.. Difference between first and second term of the series is

Third term of the series is 45, i.e.. Difference between second and third term of the series is

Fourth term of the series is 41, i.e.. Difference between third and fourth term of the series is

Looking at the analogy, we can conclude that difference between two consecutive terms is decreasing in a manner of perfect square number.

So, difference between fourth and fifth term will be 12, i.e.. 41 - x = 12

x = 41 - 1

x = 40

So, next term of the given series will be 40.

## Question 25

Aptitude
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### Write in Short

Father՚s age is 5 times his son՚s age. 4 years back the father was 9 times older than son. Find the father՚s present age.

### Explanation

• Let father՚s and son՚s present age be f and s years respectively.
• Father՚s age is 5 times his son՚s age, i.e..
• 4 years back the father was 9 times older than son, i.e..

• Substituting value of f from equation (i) here,

• From equation (i) ,

## Question 26

Aptitude
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### Write in Short

Fill the missing term of series.

26, 19, 17,13, 11, ________, 8,7

### Explanation

• Divide the given series into two parts of odd and even series.
• Odd term series: 26, 17,11, 8, …
• Even term series: 19,13, ________, 7, …
• The term which we have to find will follow the even term series.
• First term is 19 and second term is 13, i.e.. Difference between them is -6
• Third term needs to be find out.
• Fourth term is 7.
• Here, difference between two consecutive terms is decreasing by two numbers like -6, -4, -2, … , i.e.. Difference between second and third term will be -4.
• So, missing term will be

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