# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 75 - 83 of 968

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## Question number: 75

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MCQ▾

### Question

A circular field has a circumference of 600 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 15 km/hr and 20 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?

### Choices

Choice (4)Response

a.

120 hrs

b.

90 hrs

c.

100 hrs

d.

160 hrs

## Question number: 76

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MCQ▾

### Question

is equal to ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 77

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MCQ▾

________

### Choices

Choice (4)Response

a.

24

b.

12

c.

96

d.

48

## Question number: 78

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MCQ▾

is ________

### Choices

Choice (4)Response

a.

Not a real number

b.

A rational number

c.

An irrational number

d.

An integer

## Question number: 79

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MCQ▾

### Question

Which of the following numbers has the terminating decimal representation?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 80

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MCQ▾

### Question

Smaller number amongst and is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 81

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MCQ▾

### Question

If the zero of the quadratic polynomial is 3, then the value of k is ________

### Choices

Choice (4)Response

a.

6

b.

-3

c.

-8

d.

-1

## Question number: 82

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MCQ▾

### Question

If are the roots of the cubic , the value of is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 83

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MCQ▾

### Question

At the end of the year 2006, Prit was half old as his grandpa. The sum of the years in which they were born is 3922. Age of Prit at the end of year 2007 is ________

### Choices

Choice (4)Response

a.

21 years

b.

41 years

c.

31 years

d.

51 years

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