Number System (IMO- Mathematics Olympiad Class 9): Questions 48 - 56 of 103

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Question number: 48

» Number System

MCQ▾

Question

The value of (254254)2 equal’s ________.

Choices

Choice (4) Response
a.

452

b.

452

c.

454

d.

454

Question number: 49

» Number System

MCQ▾

Question

If (a+1a)2=3 , then a3+1a3 equals ________.

Choices

Choice (4) Response
a.

77

b.

33

c.

1033

d.

0

Question number: 50

» Number System

MCQ▾

Question

The value of 15 of 1525 is ________.

Choices

Choice (4) Response
a.

5×39

b.

527

c.

5×1524

d.

159

Question number: 51

» Number System

MCQ▾

Question

If ‘a’ and ‘b’ are rational numbers and 7+272=a5 , then a = ________.

Choices

Choice (4) Response
a.

28611

b.

28647

c.

47286

d.

11286

Question number: 52

» Number System

MCQ▾

Question

If a3bc2d=256 and ab3c2d3=253 , then abcd equals ________.

Choices

Choice (4) Response
a.

254

b.

252

c.

253

d.

25

Question number: 53

» Number System

MCQ▾

Question

3.456 can be expressed in rational form as ________.

Choices

Choice (4) Response
a.

9001411

b.

9003111

c.

9001311

d.

3111900

Question number: 54

» Number System

MCQ▾

Question

3(183)=p+q6 , find the value of p and q.

Choices

Choice (4) Response
a.

-5 and 5

b.

-1 and 1

c.

-9 and 3

d.

-3 and 3

Question number: 55

» Number System

MCQ▾

Question

If x+1x=4 , find the value of x3+1x3

Choices

Choice (4) Response
a.

62

b.

52

c.

42

d.

32

Question number: 56

» Number System

MCQ▾

Question

The 1000th root of 40(1010) is ________.

Choices

Choice (4) Response
a.

(10)(10)10

b.

10((40))10

c.

40(810)

d.

10107

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