# Playing With Numbers (IMO- Mathematics Olympiad Class 8): Questions 32 - 38 of 61

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## Question number: 32

» Playing With Numbers

MCQ▾

### Question

The least value of x so that 517x324 is divisible by 3 is________.

### Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

5

## Question number: 33

» Playing With Numbers

MCQ▾

### Question

If a 3-digit number ‘abc’ is divisible by 4, then________.

### Choices

Choice (4) Response

a.

is a multiple of 4

b.

is a multiple of 4

c.

is a multiple of 4

d.

is a multiple of 4

## Question number: 34

» Playing With Numbers

MCQ▾

### Question

When a certain number is multiplied by 12, the product consists entirely of fours. The smallest such number is________.

### Choices

Choice (4) Response

a.

3715

b.

3701

c.

3703

d.

3700

## Question number: 35

» Playing With Numbers

MCQ▾

### Question

A 3 digit number ‘abc’ is divisible by 3 if________.

### Choices

Choice (4) Response

a.

a + b + c is divisible by 3

b.

a + b + 2c is divisible by 9

c.

2a + b + c is divisible by 9

d.

a + 2b + c is divisible by 9

## Question number: 36

» Playing With Numbers

MCQ▾

### Question

The least value of x so that 48176x3 is divisible by 9 is________.

### Choices

Choice (4) Response

a.

9

b.

11

c.

5

d.

7

## Question number: 37

» Playing With Numbers

MCQ▾

### Question

The least value must be given to x so that the number 6148x2 is divisible by 8 is________.

### Choices

Choice (4) Response

a.

1

b.

4

c.

2

d.

3

## Question number: 38

» Playing With Numbers

MCQ▾

### Question

If a 5-digit number ‘abcde’ is divisible by 8, then________.

### Choices

Choice (4) Response

a.

is a multiple of 8

b.

is a multiple of 8

c.

is a multiple of 8

d.

is a multiple of 8

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