# Playing With Numbers (IMO- Mathematics Olympiad Class 8): Questions 47 - 54 of 61

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1029 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 47

» Playing With Numbers

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

4

b.

9

c.

2

d.

5

## Question number: 48

» Playing With Numbers

MCQ▾

### Question

If is divided by 6 leaves a remainder of 3, then one’s digit of must be________.

### Choices

Choice (4) Response

a.

Either 1 or 2

b.

Either 9 or 2

c.

Either 3 or 9

d.

Question does not provide sufficient data or is vague

## Question number: 49

» Playing With Numbers

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

7

b.

4

c.

9

d.

3

## Question number: 50

» Playing With Numbers

MCQ▾

### Question

Sum of the digit is divisible by 3 then the number is divisible by________.

### Choices

Choice (4) Response

a.

7

b.

5

c.

3

d.

2

## Question number: 51

» Playing With Numbers

MCQ▾

### Question

If the 3-digit number 25x is divisible by 5, then the value of x (x < 1) is________.

### Choices

Choice (4) Response

a.

0

b.

2

c.

4

d.

5

## Question number: 52

» Playing With Numbers

MCQ▾

### Question

The number which is divisible by 8 is________.

### Choices

Choice (4) Response

a.

12345

b.

34568

c.

15816

d.

Both b. and c. are correct

## Question number: 53

» Playing With Numbers

MCQ▾

### Question

If the 3-digit number 82x is divisible by 4, then the value of x is________.

### Choices

Choice (4) Response

a.

2

b.

5

c.

4

d.

3

## Question number: 54

» Playing With Numbers

True-False▾

### Following Statement is true or false:

If a number is divisible by any number m, then it will also be divisible by each of the factor of m’. This statement is________.

f Page