# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 13 - 22 of 968

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## Question 13

### Question

MCQ▾

Find out a rational number lying between

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 14

### Question

MCQ▾

If ‘u’ and “s” are rational numbers and , then u = ________

### Choices

Choice (4)Response

a.

17

b.

c.

d.

## Question 15

### Question

MCQ▾

Value of is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 16

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

53560

b.

73680

c.

63670

d.

83790

## Question 17

### Question

MCQ▾

is integers, none of which are divisible by 4. The remainder when is divided by 4 is ________

### Choices

Choice (4)Response

a.

0 or 1

b.

1

c.

0

d.

1 or 2

## Question 18

### Question

MCQ▾

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 19

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

19584

b.

21390

c.

23625

d.

22513

## Question 20

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

100620

b.

100420

c.

100320

d.

100520

## Question 21

### Question

MCQ▾

Rational number between and is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 22

### Question

MCQ▾

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