Divisibility Rules

Q.

The sum of an odd number and an even number is always even.

1. True
2. False

Q.

The product of an even number and an odd number is always odd.

1. True
2. False

Q. Find all the factors of 148.

1. 1, 2, 4, 37, 74, 148
2. 1, 2, 4, 37
3. 2, 4, 37, 74
4. 2 and 4

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.

Divisibility rule of 11

Q. Simplify:
78 - [5 + 3 of (25 - 2 × 10)]

1. 57
2. 54
3. 58
4. 64

Q.

Question 30
The largest number which always divides the sum of any pair of consecutive odd numbers is

(A) 2
(B) 4
(C) 6
(D) 8

Q. Simplify:
$36÷2\times 3+4$ = _____.

1. 58

Q.

7248 is divisible by:

1. 4

2. 5

3. 11

4. 3

Q.

What is meant by odd number? Give example.

Q.

Find six multiples of following numbers:

$19$

Q. $68\times 35=?$

1. 1840
2. 2380
3. 2445
4. 2340

Q.

Write the first three multiples of each of the following

$12$

Q.

231 is divisible by _________________

1. Yes

2. 5

3. 3

4. 6

Q. Which of the following numbers is divisible by 6?

1. 781
2. 505
3. 606
4. 202

Q. How many 2-digit numbers can be formed using the digits 1 and 7?

Q.

The product of two odd numbers is odd .

1. True
2. False

Q.

H.C.F of two consecutive odd numbers is $2$

1. True
2. False

Q.

Simplify: 38 - [19 - {14 - (7 - 4)}]

1. 22

2. 30

3. 45

4. 11

Q.

Write the first six multiple of:

$11$

Q.

1728 is divisible by 2, what is the least number that should be added to 1728 so that it is not divisible by 2 ?

1. 1

2. 5

3. 4

4. 0

Q. The number 507 is not divisible by 7. Then is it divisible by 21? Give the reason for your answer.

Q. Which one of the following numbers is exactly divisible by 11?

(a) 235641
(b) 245642
(c) 315624
(d) 415624

Q. Which of the following numbers is divisible by 9?

1. 288
2. 568
3. 235
4. 983

Q. Which of the following option contains only multiples of 6?

1. 12, 34
2. 6, 12
3. 15, 24
4. 12, 28

Q.

Fill in the blanks:

The numbers which are ______ by $2$ are called ______ numbers and the numbers which are not divisible by ___ are known as ___ numbers.

Q.

Simplify: 5 x (14 – 20).

1. -30

2. 30

3. 40

4. 50

Q. Choose the pair which are multiples of 7.

1. 7, 23
2. 49, 63
3. 22, 576
4. 49, 81

Q. Simplify: 38 - [19 - {14 - (7 - 4)}]

1. 30

Q.

Select the statements that are true.

1. A number is divisible by 2, if its last (unit) four digits are divisible by 2.

2. A number is divisible by 4, if the number formed by its last two digits is divisible by 4

3. A number is divisible by 8, if the number formed by its last two digits is divisible by 8

4. A number is divisible by 8, if the number formed by its last three digits is divisible by 8