IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 217 - 225 of 1040

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Question number: 217

» Cube and Cube Roots

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MCQ▾

Question

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

Choices

Choice (4)Response

a.

10

b.

4

c.

5

d.

9

Question number: 218

» Cube and Cube Roots

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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.

2754

c.

2758

d.

2750

Question number: 219

» Cube and Cube Roots

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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.

10

b.

15

c.

11

d.

9

Question number: 220

» Cube and Cube Roots

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MCQ▾

Question

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 221

» Cube and Cube Roots

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MCQ▾

Question

If , then is equal to________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 222

» Cube and Cube Roots

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MCQ▾

Question

=

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 223

» Cube and Cube Roots

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MCQ▾

Question

If , then is equal to________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 224

» Cube and Cube Roots

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MCQ▾

Question

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

Choices

Choice (4)Response

a.

5

b.

4

c.

10

d.

25

Question number: 225

» Cube and Cube Roots

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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.

6: 12: 18

b.

10: 11: 12

c.

d.

15: 30: 45

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