Cube and Cube Roots (IMO- Mathematics Olympiad Class 8): Questions 1 - 8 of 58

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Question number: 1

» Cube and Cube Roots

MCQ▾

Question

Three numbers are in the ratio of 4: 3: 2. The sum of their cubes is 21384. The numbers are________.

Choices

Choice (4) Response

a.

24:18:12

b.

15: 30: 45

c.

20:15:10

d.

6: 12: 18

Question number: 2

» Cube and Cube Roots

MCQ▾

Question

The value of (91125216)26 is ________.

Choices

Choice (4) Response

a.

8.5

b.

4.00

c.

2.5

d.

7.5

Question number: 3

» Cube and Cube Roots

MCQ▾

Question

If 25a4=a6 , then a3 is equal to________.

Choices

Choice (4) Response

a.

5a3

b.

15a3

c.

15a2

d.

5a2

Question number: 4

» Cube and Cube Roots

MCQ▾

Question

The cube of a number x is four times of x then find x where x0andx2.

Choices

Choice (4) Response

a.

4

b.

2

c.

1

d.

0

Question number: 5

» Cube and Cube Roots

MCQ▾

Question

a3×b12×c21c9×b63 =

Choices

Choice (4) Response

a.

ab2c3

b.

ab2c2

c.

ab3c4

d.

ab2c4

Question number: 6

» Cube and Cube Roots

True-False▾

Following Statement is true or false:

The sum of the cubes of first n natural numbers is equal to the square of their sum. This statement is true or not?

Question number: 7

» Cube and Cube Roots

MCQ▾

Question

The cube root of 82 is________.

Choices

Choice (4) Response

a.

16

b.

8

c.

64

d.

4

Question number: 8

» Cube and Cube Roots

MCQ▾

Question

In the five digit number 13ab4, a is the greatest single digit perfect cube and a is greater four times of b. then find the sum of the number and its cube root is________.

Choices

Choice (4) Response

a.

13824

b.

13825

c.

13820

d.

13848

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