Exponents and Powers (IMO- Mathematics Olympiad Class 8): Questions 50 - 57 of 61

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Question number: 50

» Exponents and Powers

MCQ▾

Question

Given that 72.5=x,710=y and x2=yz , then the value of z is (approximately) ________.

Choices

Choice (4) Response

a.

0.87

b.

1.21

c.

1.00

d.

0.5

Question number: 51

» Exponents and Powers

MCQ▾

Question

Number of prime factors in (343)32×(700)12×1250 is

Choices

Choice (4) Response

a.

13

b.

11

c.

12

d.

14

Question number: 52

» Exponents and Powers

MCQ▾

Question

The solution of 3x6=19x , is________.

Choices

Choice (4) Response

a.

1

b.

4

c.

3

d.

2

Question number: 53

» Exponents and Powers

MCQ▾

Question

If 33×33÷323=34+a , then the value of a is

Choices

Choice (4) Response

a.

4

b.

1

c.

0

d.

2

Question number: 54

» Exponents and Powers

MCQ▾

Question

If 5(xy)=25 and 5(x+y)=125 , then x is equal to________.

Choices

Choice (4) Response

a.

32

b.

52

c.

92

d.

12

Question number: 55

» Exponents and Powers

MCQ▾

Question

The solution of 22x5=18x , is________.

Choices

Choice (4) Response

a.

2

b.

1

c.

3

d.

4

Question number: 56

» Exponents and Powers

MCQ▾

Question

If ax=by=cz and b=a2c , then x equals

Choices

Choice (4) Response

a.

y+z2yx

b.

2yzy+z

c.

2zxx+z

d.

2z+xxz

Question number: 57

» Exponents and Powers

MCQ▾

Question

Simplify: (xa.xb)(a2+b2+ab)×(xb.xc)(b2+c2+bc)×(xcxa)(a2+c2+ca)

Choices

Choice (4) Response

a.

a+b+c

b.

1

c.

0

d.

(a2+b2+c2)

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