# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 18 - 26 of 968

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## Question number: 18

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MCQ▾

### Question

Sum of squares of the two consecutive natural numbers is 421. The two consecutive numbers respectively________

### Choices

Choice (4) Response

a.

67 and 68

b.

34 and 35

c.

21 and 22

d.

14 and 15

## Question number: 19

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MCQ▾

### Question

Given that H. C. F, find L. C. M.

### Choices

Choice (4) Response

a.

19584

b.

21390

c.

23625

d.

22513

## Question number: 20

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MCQ▾

### Question

Given that H. C. F, find L. C. M.

### Choices

Choice (4) Response

a.

100620

b.

100420

c.

100320

d.

100520

## Question number: 21

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MCQ▾

### Question

Rational number between and is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 22

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MCQ▾

### Question

A eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6th digit from the left of the number is ________

### Choices

Choice (4) Response

a.

3

b.

9

c.

7

d.

5

## Question number: 23

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MCQ▾

is ________

### Choices

Choice (4) Response

a.

An integer

b.

A rational number

c.

A natural number

d.

An irrational number

## Question number: 24

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MCQ▾

### Question

If ‘a’ and ‘b’ are rational numbers and , then b = ________

### Choices

Choice (4) Response

a.

4

b.

7

c.

6

d.

8

## Question number: 25

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MCQ▾

### Question

If , then s equals________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 26

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MCQ▾

### Question

Value of is ________

### Choices

Choice (4) Response

a.

4

b.

0

c.

2

d.

1