Cube and Cube Roots (IMO- Mathematics Olympiad Class 8): Questions 27 - 35 of 58

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1029 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 27

» Cube and Cube Roots

MCQ▾

Question

By what least number must 169 be multiplied to make it perfect cube?

Choices

Choice (4) Response

a.

10

b.

14

c.

15

d.

13

Question number: 28

» Cube and Cube Roots

MCQ▾

Question

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

Choices

Choice (4) Response

a.

±103

b.

±373

c.

±172

d.

None of the above

Question number: 29

» Cube and Cube Roots

MCQ▾

Question

The cube of a number x is 25 times of x then find x where x0andx5.

Choices

Choice (4) Response

a.

2

b.

5

c.

1

d.

4

Question number: 30

» Cube and Cube Roots

MCQ▾

Question

The value of (3375)(13)(2)2 is________.

Choices

Choice (4) Response

a.

12

b.

10

c.

14

d.

15

Question number: 31

» Cube and Cube Roots

MCQ▾

Question

The value of (17281000)26 is ________.

Choices

Choice (4) Response

a.

2.5

b.

4.00

c.

7.5

d.

8.5

Question number: 32

» Cube and Cube Roots

MCQ▾

Question

By what least number must 648 be multiplied to make it perfect cube?

Choices

Choice (4) Response

a.

9

b.

5

c.

4

d.

10

Question number: 33

» Cube and Cube Roots

MCQ▾

Question

In the number a4b, a is the smallest two digit perfect cube and a’s unit digit exceeds b by 3. then find the sum of the number and its cube root is________.

Choices

Choice (4) Response

a.

2713

b.

2750

c.

2758

d.

2754

Question number: 34

» Cube and Cube Roots

MCQ▾

Question

The smallest number by which 225 must be multiplied so that the product is a perfect cube is________.

Choices

Choice (4) Response

a.

15

b.

9

c.

10

d.

11

Question number: 35

» Cube and Cube Roots

MCQ▾

Question

The volume of a cube whose surface area is 96m2 , is________.

Choices

Choice (4) Response

a.

29m3

b.

33m3

c.

64m3

d.

21m3

f Page
Sign In