# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 27 - 34 of 968

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## 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

## Question number: 31

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MCQ▾

### Question

If , where a, b, c, d are consecutive natural numbers, then which of the following is true?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 32

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MCQ▾

### Question

Rationalizing factor of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 33

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MCQ▾

is________

### Choices

Choice (4) Response

a.

A rational number

b.

An integer

c.

An irrational number

d.

Not a real number

## Question number: 34

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MCQ▾

### Question

A real number will have________

### Choices

Choice (4) Response

a.

Terminating decimal

b.

Terminating repeating decimal

c.

Non-termination and non-repeating decimal

d.

Non-terminating decimal