# Real Numbers (IMO- Mathematics Olympiad (SOF) Class 10): Questions 68 - 75 of 89

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## Question number: 68

» Real Numbers

MCQ▾

### Question

According to the fundamental theorem of arithmetic, if p (a prime number) divides , and b is positive, then ________

### Choices

Choice (4) Response

a.

P divides b

b.

divides p

c.

b divided p

d.

divides

## Question number: 69

» Real Numbers

MCQ▾

is ________

### Choices

Choice (4) Response

a.

An irrational number

b.

An imaginary number

c.

An rational number

d.

None of the above

## Question number: 70

» Real Numbers

MCQ▾

is ________

### Choices

Choice (4) Response

a.

Real number

b.

A rational number

c.

An irrational number

d.

All of the above

## Question number: 71

» Real Numbers

MCQ▾

### Question

Sum of squares of the two consecutive natural numbers is 113. The two consecutive numbers respectively________

### Choices

Choice (4) Response

a.

1 and 2

b.

3 and 4

c.

7 and 8

d.

4 and 5

## Question number: 72

» Real Numbers

MCQ▾

### Question

The product of two consecutive natural numbers is always ________

### Choices

Choice (4) Response

a.

A prime number

b.

An odd number

c.

Divisible by 3

d.

An even number

## Question number: 73

» Real Numbers

MCQ▾

### Question

If , then b equals________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 74

» Real Numbers

MCQ▾

### Question

Rationalizing factor of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 75

» Real Numbers

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.

160 hrs

b.

90 hrs

c.

100 hrs

d.

120 hrs

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