Number System (IMO- Mathematics Olympiad Class 9): Questions 8 - 14 of 103

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Question number: 8

» Number System

MCQ▾

Question

If N=164+16+416+1 , then N equals________.

Choices

Choice (4) Response
a.

0.99

b.

1235

c.

1235

d.

1235

Question number: 9

» Number System

MCQ▾

Question

The number x=1.242424. can be expressed in the form x=pq , where p and q are positive integers having no common factors. Then p+q equals________.

Choices

Choice (4) Response
a.

41

b.

74

c.

725

d.

53

Question number: 10

» Number System

MCQ▾

Question

The value of (apaq)1pq×(aqar)1qr×(aras)1rs×(asat)1st×(atap)1tp is equal to ________.

Choices

Choice (4) Response
a.

1

b.

a1p+1q+1r+1s+1t

c.

apq+qr+rs+st+tp

d.

0

Question number: 11

» Number System

MCQ▾

Question

If ‘a’ and ‘b’ are rational numbers and 4+545=a7 , then a = ________.

Choices

Choice (4) Response
a.

1196

b.

1196

c.

9611

d.

9811

Question number: 12

» Number System

MCQ▾

Question

The last digit of the value of the number 20032006+20042006+20072006 is________.

Choices

Choice (4) Response
a.

4

b.

5

c.

1

d.

9

Question number: 13

» Number System

MCQ▾

Question

If x=5212 , find the value of x2+1x2

Choices

Choice (4) Response
a.

4

b.

23

c.

6

d.

5

Question number: 14

» Number System

MCQ▾

Question

The ascending order of the surds 23,76,59 is________.

Choices

Choice (4) Response
a.

53,29,76

b.

59,23,76

c.

29,53,76

d.

79,53,76

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