# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 52 - 59 of 968

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## Question number: 52

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MCQ▾

### Question

Rationalizing factor of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 53

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MCQ▾

### Question

is integers, none of which are divisible by 5. The remainder when is divided by 5 is ________

### Choices

Choice (4)Response

a.

1 or 2

b.

1

c.

0

d.

All of the above

## Question number: 54

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MCQ▾

### Question

Circular field has a circumference of 360 km. two cyclists Sumeet and Samrat start together and can cycle at speeds of 20 km/hr and 24 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.

170hrs

c.

90hrs

d.

130hrs

## Question number: 55

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### Question

Ascending order of the surds is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 56

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MCQ▾

### Question

Descending order of the surds

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 57

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MCQ▾

### Question

is integers, none of which are divisible by 9. The remainder when is divided by 9 is ________

### Choices

Choice (4)Response

a.

0 or 1

b.

1 or 2

c.

1

d.

0

## Question number: 58

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MCQ▾

### Question

If , then t is equal to ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 59

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MCQ▾

### Question

A ten digit number is a multiple of 11 and 9091. If the second digit from left is 5, then 7th digit from the left of the number is ________

### Choices

Choice (4)Response

a.

9

b.

3

c.

2

d.

5

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