Real Numbers (IMO- Mathematics Olympiad (SOF) Class 10): Questions 76 - 83 of 89

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Question number: 76

» Real Numbers

MCQ▾

Question

is equal to ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 77

» Real Numbers

MCQ▾

Question

________

Choices

Choice (4) Response

a.

48

b.

24

c.

96

d.

12

Question number: 78

» Real Numbers

MCQ▾

Question

is ________

Choices

Choice (4) Response

a.

Not a real number

b.

An integer

c.

A rational number

d.

An irrational number

Question number: 79

» Real Numbers

MCQ▾

Question

Which of the following numbers has the terminating decimal representation?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 80

» Real Numbers

MCQ▾

Question

Smaller number amongst and is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 81

» Real Numbers

MCQ▾

Question

28 integers are chosen from the interval [104, 208]. Show that there exit two of them having a common prime divisor.

Choices

Choice (4) Response

a.

2

b.

0

c.

3

d.

1

Question number: 82

» Real Numbers

MCQ▾

Question

Choices

Choice (4) Response

a.

2

b.

0

c.

3

d.

1

Question number: 83

» Real Numbers

MCQ▾

Question

a, b, c are real numbers such that and Prove that . When does the equality hold?

Choices

Choice (4) Response

a.

Equality hold when and

b.

Equality hold when and

c.

Equality hold when and

d.

Equality hold when and

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