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

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## Question number: 217

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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

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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

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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

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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

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MCQ▾

### Question

If , then is equal to________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 222

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MCQ▾

=

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 223

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MCQ▾

### Question

If , then is equal to________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 224

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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

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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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