# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 22 - 30 of 968

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## 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

## Question number: 27

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MCQ▾

### Question

A circular field has a circumference of 360 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 12 km/hr and 15 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 28

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MCQ▾

________

### Choices

Choice (4)Response

a.

15

b.

3

c.

4

d.

10

## Question number: 29

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MCQ▾

### Question

If , then t is equal to ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 30

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MCQ▾

### Question

Value of is ________

### Choices

Choice (4)Response

a.

1

b.

2

c.

0

d.

4

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