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▾

Question

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▾

Question

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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