Divisibility by 10

Q.

What are the factors of 0?

Q.

If $aandb$ are natural numbers such that $a^2-b^2$ is a prime number, then $a^2-b^2$ is equal to

1. $a+b$

2. $a–b$

3. $ab$

4. $1$

Q. If a number is divisible by 10, then it must also be divisible by 2. State true or false.

1. True
2. False

Q. Question 44

In the given question, state whether the given statement is True or False.

In $N÷5$ leaves remainder 3 and $N÷2$ leaves remainder 0, then $N÷10$ leaves remainder 4.

Q.

What is the remainder when 1591 is divided by 1000?

1. 91

2. 0

3. 591

4. 1

Q.

If we add 2 odd numbers we get an even number. Why? [2 MARKS]

Q.

Determine the smallest number that should be added to 1321 to make it divisible by 10.

1. 5
2. 8
3. 9
4. 3

Q. Test the divisibility of each of the following numers by 2:
(i) 94
(ii) 570
(iii) 285
(iv) 2398
(v) 79532
(vi) 13576
(vii) 46821
(viii) 84663
(ix) 66669

Q.

Test the divisibility

Is $900$ divisible by $8$?

Q.

2437 is divided by which number?

Q.

A number can be divisible by $4$ if last two digit of the number is either divisible by $4$ or ends with two ______.

1. $1$s

2. $2$s

3. $3$s

4. $0$s

Q. If dividing the 3 digit number "3BA" by 10 gives 34 without leaving any remainder, the values of B and A are:

1. 2

2. 3

3. 5

4. None of These

Q.

If 783842A when divided by 10 leaves a remainder of 6, then A = ______

1. 0

2. 5

3. 6

4. 8

Q.

using divisibility test, determine $6000$ is divisible by $4$ and $8$:

Q. Find the smallest multiple of 6 which is divisible by 10.

1. 30
2. 60
3. 10
4. 6

Q.

If I divide 487 by 100 what is the remainder?

1. 48

2. 7

3. 47

4. 87

Q.

Circle the numbers which are divisible by $4$.

$364431085784467108867213$

Q.

Using divisibility tests, determine the given number is divisible by $2$ : $4,56,739$

Q.

If the addition of numbers 2A and 33 gives 5B, where A and B are digits then find A and B. Given that number 2A is divisible by 10.

1. A = 0, B = 0

2. A = 0, B = 4

3. A = 4, B = 0

4. A = 0, B = 3

Q.

Find which of the following numbers are divisible by 10 :

(i) 5100 (ii) 4612

(iii) 3400 (iv) 8399

Q. If the addition of numbers 2A and 33 gives 5B, where A and B are digits then find A and B. Given that number 2A is divisible by 10.

Q.

If 31z5 is a multiple of 9, where z is a digit, what is the value of z? [2 MARKS]

Q. Question 44

In the given question, state whether the given statement is True or False.

In $N÷5$ leaves remainder 3 and $N÷2$ leaves remainder 0, then $N÷10$ leaves remainder 4.

Q.

If I divide 487 by 100 what is the remainder?

1. 87

2. 48

3. 7

4. 47

Q.

Simplify:
$\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

Q. The difference between the numbers 987 and 789 is not divisible by 99.

1. True
2. False

Q. If 532 - pqr is divisible by 99, then r - q - p equals?

1. 0
2. 1
3. 2
4. 3

Q. prove that if x and y are both odd positive integer then x*x+y*y is even but not divisible by 4

Q.

If 24x is a multiple of 3, where x is a digit, what is the value of x?

(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values)

Q.

Test the divisibility

Is $672$ divisible by $9$?