Number System (IMO- Mathematics Olympiad Class 9): Questions 80 - 87 of 103

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Question number: 80

» Number System

MCQ▾

Question

Find the values of a and b if 6+161+616+1=ab6

Choices

Choice (4) Response
a.

a=0,b=142

b.

a=145,b=0

c.

a=142,b=0

d.

a=0,b=145

Question number: 81

» Number System

MCQ▾

Question

If x=32 , then x3+1x3= ________.

Choices

Choice (4) Response
a.

91372

b.

192372

c.

21632

d.

216372

Question number: 82

» Number System

MCQ▾

Question

0.123 can be expressed in rational form as ________.

Choices

Choice (4) Response
a.

900111

b.

121900

c.

12310

d.

111900

Question number: 83

» Number System

MCQ▾

Question

If 3x+(3x+1)x2=13x2 , then the value of x is________.

Choices

Choice (4) Response
a.

1

b.

2

c.

4

d.

7

Question number: 84

» Number System

MCQ▾

Question

If 9n×32×(3n2)2(27)n33m×23=127 , then mn is ________.

Choices

Choice (4) Response
a.

3

b.

2

c.

1

d.

4

Question number: 85

» Number System

MCQ▾

Question

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

Choices

Choice (4) Response
a.

3

b.

5

c.

4

d.

0

Question number: 86

» Number System

MCQ▾

Question

If 977+977+977+977+977+977+977+977+977=9a , then p is________.

Choices

Choice (4) Response
a.

77

b.

86

c.

78

d.

65

Question number: 87

» Number System

MCQ▾

Question

The value of 17 of 4930 is ________.

Choices

Choice (4) Response
a.

709×49

b.

7×4929

c.

7×1030

d.

70×749

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