Number System (IMO- Mathematics Olympiad Class 9): Questions 24 - 31 of 103

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Question number: 24

» Number System

MCQ▾

Question

If x=352 , find the value of x2+1x2

Choices

Choice (4) Response

a.

5

b.

8

c.

6

d.

7

Question number: 25

» Number System

MCQ▾

Question

If x=8+35 and xy=1 , then 1x2+1y2 is________.

Choices

Choice (4) Response

a.

218361

b.

361220

c.

218360

d.

220360

Question number: 26

» Number System

MCQ▾

Question

Find the values of a and b if 717+17+171=a+b7

Choices

Choice (4) Response

a.

a=1,b=23

b.

a=0,b=23

c.

a=23,b=0

d.

a=1,b=1

Question number: 27

» Number System

MCQ▾

Question

The numerator of p+p2q2r2pp2q2r2+pp2q2r2p+p2q2r2+p+p2q2r2pp2q2r2 is ________.

Choices

Choice (4) Response

a.

3(2p2q2r2)q2+r2

b.

p2+q2

c.

p2+q2r2

d.

p2

Question number: 28

» Number System

MCQ▾

Question

The value of x, if 5x3×32x8=225 is ________.

Choices

Choice (4) Response

a.

5

b.

3

c.

25

d.

4

Question number: 29

» Number System

MCQ▾

Question

If 7=4.128 and 5=3.628 , then the value of 447+112+20728 is________.

Choices

Choice (4) Response

a.

6.5

b.

5.9

c.

9.5

d.

5.5

Question number: 30

» Number System

MCQ▾

Question

If x+1x=4 , find the value of x2+1x2

Choices

Choice (4) Response

a.

16

b.

12

c.

14

d.

15

Question number: 31

» Number System

MCQ▾

Question

The numerator of a+a2b2aa2b2+aa2b2a+a2b2 is ________.

Choices

Choice (4) Response

a.

a2b2

b.

4a22b2b2

c.

a2

d.

b2

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