IMO- Mathematics Olympiad Class 8: Questions 215 - 223 of 1029

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Question number: 215

» 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: 216

» 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: 217

» 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: 218

» 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: 219

» 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: 220

» 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

Question number: 221

» 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: 222

» Cube and Cube Roots

MCQ▾

Question

a9×b6×c6a6×b183 =

Choices

Choice (4) Response

a.

ac3b4

b.

acb4

c.

ac2b4

d.

ac2b

Question number: 223

» 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

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