Divisibility Rules

Q.

Test the divisibility of the following numbers by $2,3$ and $6$.

$2603$

Q.

Which of these numbers is divisible by 6?

1. 5782

2. 2666

3. 6053

4. 8964

Q. The number 123456 is divisible by:

1. 2
2. 5
3. 3
4. 6
5. 4
6. 8
7. 11
8. 9

Q.

198 is divisible by:

1. 11

2. 5
3. 8
4. 6

Q.

The number 98754256 is divisible by:

1. 4

2. 8

3. 4 and 8

4. 4, 8 and 12

Q.

All the numbers that are divisible by 8 are also divisible by 4 and 2.

1. True

2. False

Q.

Rashi asked Aarush to take a two digit number and then reverse the digits. After that, she asked him to add the first number and the new number, then divide it by 11. She asked him do you get a remainder ? Aarush's reply will be -

1. Yes

2. No

Q.

Fill in the blanks:

A number is divisible by ……….. , if it is even and the sum of its digits is divisible by $3.$

Q. Which of the following is divisible by 6?

1. 852
2. 853
3. 854
4. 856

Q.

Identify whether the given number is divisible by 11 or not: 9, 05, 070

Q.

Fill in the blanks:

A number is divisible by …….. , if it ends in $0.$

Q.

Test the divisibility of the following numbers by $2,3$ and $6$

$20046$

Q. simplify using suitable re - arrangement
a) 13/5 * 7/26 * 5/16 * - 4/5

Q. Question) Simplify :
$\left(i\right)\left\{{\left(\frac{1}{3}\right)}^{-3}-{\left(\frac{1}{2}\right)}^{-3}\right\}÷{\left(\frac{1}{4}\right)}^{-3}$
$$\begin{gathered} ii)\left(3^2-2^2\right)\times {\left(\frac{2}{3}\right)}^{-3} \\ (iii){\left\{{\left(\frac{1}{2}\right)}^{-1}\times {\left(-4\right)}^{-1}\right\}}^{-1} \\ (iv){\left[{\left\{{\left(\frac{-1}{4}\right)}^2\right\}}^{-2}\right]}^{-1} \end{gathered}$$

Q.

Test the divisibility of the following numbers by $2,3$ and $6$

$100637$

Q.

Give an example of a number which is divisible by $4$ but not $8$.