Cube and Cube Roots (IMO- Mathematics Olympiad Class 8): Questions 36 - 44 of 58

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Question number: 36

» Cube and Cube Roots

MCQ▾

Question

If 49a4=a6 , then a3 is equal to________.

Choices

Choice (4) Response

a.

17a2

b.

7a3

c.

7a2

d.

17a3

Question number: 37

» Cube and Cube Roots

MCQ▾

Question

a9×b6×c6a6×b183 =

Choices

Choice (4) Response

a.

ac3b4

b.

acb4

c.

ac2b4

d.

ac2b

Question number: 38

» Cube and Cube Roots

MCQ▾

Question

If 81a4=a6 , then a3 is equal to________.

Choices

Choice (4) Response

a.

9a3

b.

9a2

c.

19a3

d.

19a2

Question number: 39

» Cube and Cube Roots

MCQ▾

Question

By what least number must 3125 be multiplied to make it perfect cube?

Choices

Choice (4) Response

a.

10

b.

25

c.

5

d.

4

Question number: 40

» Cube and Cube Roots

MCQ▾

Question

Three numbers are in the ratio of 1: 2: 3. The sum of their cubes is 98784. The numbers are________.

Choices

Choice (4) Response

a.

14:28:42

b.

10: 11: 12

c.

15: 30: 45

d.

6: 12: 18

Question number: 41

» Cube and Cube Roots

MCQ▾

Question

The value of 92613433+3375273 is ________.

Choices

Choice (4) Response

a.

6

b.

4

c.

8

d.

5

Question number: 42

» Cube and Cube Roots

MCQ▾

Question

The cube root of 272 is________.

Choices

Choice (4) Response

a.

4

b.

16

c.

64

d.

9

Question number: 43

» Cube and Cube Roots

MCQ▾

Question

If 2(a31a3)3=1 , then (a3+1a3)=_____.

Choices

Choice (4) Response

a.

103

b.

±172

c.

±103

d.

All of the above

Question number: 44

» Cube and Cube Roots

MCQ▾

Question

The cube of an even natural number is________.

Choices

Choice (4) Response

a.

Even or odd

b.

Even

c.

Can’t say

d.

Odd

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