# Tech Mahindra Papers: Sample Questions 30 - 32 of 42

Examrace Placement Series prepares you for the toughest placement exams to top companies.

## Question number: 30

### 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.

## Question number: 31

MCQ▾

### Question

What is the smallest number by which 2880 must be divided in order to make it perfect square?

### Choices

Choice (4) Response

a.

8

b.

5

c.

6

d.

4

b.

### Explanation

Factorising the given number, 2880

2880 =

If we will divide 2880 by 5 then remaining number will be a perfect square number, 4 and 9 both are perfect square of 2 and 3.

## Question number: 32

MCQ▾

### Question

Complete the following series.

a, e, i, m, q, u, _, _

### Choices

Choice (4) Response

a.

b, f

b.

g, i

c.

y, c

d.

Question does not provide sufficient data or is vague

c.

### Explanation

• Here, first term of the series is ‘a’.
• Second term of the series is ‘e’, which is four position ahead of ‘a’ in alphabetical order.
• Third term of the series is ‘i’, which is four position ahead of ‘e’ in alphabetical order.
• Fourth term of the series is ‘m’, which is four position ahead of ‘i’ in alphabetical order.
• Fifth term of the series is ‘q’, which is four position ahead of ‘m’ in alphabetical order.
• Sixth term of the series is ‘u’, which is four position ahead of ‘q’ in alphabetical order.
• So, next seventh term should also be four position ahead of its previous letter.
• Seventh term will be ‘y’ which is four position ahead of ‘u’ in alphabetical order.
• Next eighth term will be ‘c’ which is also four position ahead of ‘y’ in alphabetical order.