Divisibility Tests for 8

Q.

Question 79 (ii)

Solve: $\frac{5}{13}-\frac{-8}{26}$

Q.

Convert $35$ to binary.

Q. Are numbers divisible by 9 also divisible by 3?

Q.

(i) All numbers divisible by 3 must also be divisible by 6

(ii) All numbers divisible by 6 must also be divisible by 3

1. (i) is False, (ii) is True

2. (i) is False, (ii) is False

3. (i) is True, (ii) is True

4. (i) is True, (ii) is False

Q.

Question 17

Which of the following shows the maximum rise in temperature?

(a) $0^{\circ }$C to ${10}^{\circ }$C

(b) $-4^{\circ }$C to $8^{\circ }$C

(c) $-{15}^{\circ }$C to $-8^{\circ }$C

(d) $-7^{\circ }$C to $0^{\circ }$C

Q.

write a 5-digit number using digits 1, 2, 3, 4, 5 which is divisible by 8 .Use the digits only once.

Q. State the divisibility rule for 4. Using divisibility test, determine which of the following numbers are divisible by 4?
(a) 4096 (b) 21084
[2 MARKS]

Q.

A number that has 2 and 3 as factors is divisible by ___.

Q.

Divide $3622$ by $45.275$ ?

Q.

Test the divisibility of the following numbers by $4$

$57312$

Q. Write down divisibility rule for 3? .

Q.

$1000\times a+100\times c+10\times d+b$ can also be written as:

1. abcd

2. acbd

3. adcb

4. acdb

Q.

In the following replace * by the smallest number so that the given number is divisible by the number mentioned:
$85*63$ by $9$.

Q. Show that $3^{2n+2}-8n-9$ is divisible by $8$, where $n$ is any natural number.

Q. Find the sum of all natural numbers lying between 153 and 436 divisible by 8.

Q.

If the sum of digits of a number is divisible by three, then the number is always divisible by

1. $2$

2. $3$

3. $6$

4. $9$

Q.

Find all the numbers between $20$ and $40$ that are divisible by:

(d) $2$ as well as $10$

Q.

(i) All numbers divisible by 4 must also be divisible by 8

(ii) All numbers divisible by 8 must also be divisible by 4

1. False, True

2. False, False

3. True, True

4. True, False

Q.

Check the divisibility of the following numbers by $6$:

$152334$

Q.

Test the divisibility of the following number by $8$.

$99999256$

Q. In each of the following numbers, replace * by the smallest number to make it divisible by 3:

(i) 75 * 5
(ii) 35 * 64
(iii) 18 * 71

Q.

Check the divisibility of the following numbers by $9$:

$5354781$

Q. All numbers divisible by 4 must also be divisible by 8

1. True
2. False

Q.

Is $86$ divisible by $4$?

Q. Which of the following gives the result of the expression $\frac{3}{4}$ $÷$ $\frac{1}{4}$?

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

Q.

Using divisibility tests, write yes or no :

Number $189144$ is divisible by $3.$

Q.

Multiply the decimal numbers.

$2.4\times 4.8$

Q. The sequence of natural numbers is divided into classes as follows
Prove that the sum of the numbers in the nth row is $n(2n^2+1)$

Q.

Is $9856$ divisible by $11$?

Q.

All numbers divisible by $4$ must also be divisible by $8.$

1. True
2. False