# Playing With Numbers (IMO- Mathematics Olympiad Class 8): Questions 16 - 23 of 61

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## Question number: 16

» Playing With Numbers

MCQ▾

### Question

If and there is no carry on addition, then the value of B is________.

### Choices

Choice (4) Response

a.

0

b.

5

c.

3

d.

1

## Question number: 17

» Playing With Numbers

MCQ▾

### Question

If divided by 5 leaves a remainder of 4, and divided by 2 leaves a remainder of 1, then the one’s digit of N is________.

### Choices

Choice (4) Response

a.

3

b.

4

c.

7

d.

9

## Question number: 18

» Playing With Numbers

MCQ▾

### Question

If is divisible by 3, where x is a digit less than 5, then the values of x are________.

### Choices

Choice (4) Response

a.

3

b.

1

c.

0

d.

2

## Question number: 19

» Playing With Numbers

MCQ▾

### Question

If and there is no carry on addition, then the value of B is________.

### Choices

Choice (4) Response

a.

3

b.

1

c.

5

d.

4

## Question number: 20

» Playing With Numbers

MCQ▾

### Question

The difference of the squares of two consecutive odd integer is divisible by which of the following integers?

### Choices

Choice (4) Response

a.

7

b.

5

c.

8

d.

2

## Question number: 21

» Playing With Numbers

MCQ▾

### Question

A 5-digit number xy721 is divisible by 3 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.

### Choices

Choice (4) Response

a.

(1, 1), (2, 0)

b.

(1, 2), (2, 0)

c.

(0, 2), (2, 0)

d.

(1, 1), (0, 2)

## Question number: 22

» Playing With Numbers

MCQ▾

### Question

A 4 digit number ‘abcd’ is divisible by 8 if________.

### Choices

Choice (4) Response

a.

b + c + d is divisible by 8

b.

a + 2b + c + d is divisible by 8

c.

a + b + c is divisible by 8

d.

a + b + c + d is divisible by 8

## Question number: 23

» Playing With Numbers

MCQ▾

### Question

If a number has unit digit any of 0, 2, 4, 6, 8. Then it is divisible by________.

### Choices

Choice (4) Response

a.

3

b.

2

c.

9

d.

5

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