Divisibility Rule for 11

Q.

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11:

(a) 92 ___ 389 (b) 8 ___9484

Q. Replace * by a digit so that 653*47 is divisible by 11

Q. The sum of a two-digit number and the number obtained by reversing its digits is always divisible by:

1. 4
2. 9
3. 11
4. 3

Q.

288 is completely divisible by__________.

1. 9

2. 5

3. 7

4. 11

Q.

Which of the following numbers are divisible by both 9 and 11

1. 1089

2. 121

3. 720

4. 456

Q.

How do we check if 87 is divisible by 3?

1. Check if the units place is odd or even.

2. Check if the units place is 3, 6 or 9.

3. Check if the sum of the digits is 9.

4. Check if the sum of digits is divisible by 3.

Q. What least number be assigned to * so that number 653*47 is divisible by 11?

(a) 1
(b) 2
(c) 6
(d) 9

Q.

$3x2\text{divisible by 11 ?}$

Q.

1057982 is divisible by 11.

1. True

2. False

Q.

Find the remainder without performing actual division when 58239 is divided by 11.

1. 0

2. 2

3. 3

4. 5

Q.

If the number 76p91 is divisible by 11, calculate the value of p.

1. 9

2. 7

3. 8

4. 6

Q.

What is the least value that should be given to ${}^{\prime }{a}^{\prime }$ so that the number $653a47$ will be divisible by 11?

1. 9

2. 6

3. 2

4. 1

Q.

If x denotes the digit at hundreds place of the number $\overline{67x19}$ such that the number is divisible by 11. Find possible values of x.

1. x = 5

2. x = 4

3. x = 7

4. x = 2

Q.

Which of the following numbers will be completely divisible by 11?

1. 308

2. 311

3. 297

4. 425

Q.

Test the divisibility of the following numbers.

$723$

Q.

Which of the following numbers are divisible by 11?

1. 72512

2. 432

3. 7825

4. 1441

Q.

Determine whether $93573$ is divisible by $6$

Q.

5B12 is divisible by 11, find the value of B , if the number is divisible by 11

1. 123123

2. 34567896

3. 2345678234

4. None of These

Q.

If the number 25x7039 is divisible by 11, Find the value of x?

1. 10000001, 459756

2. 9000001, 45975

3. 4569874, 547952

4. 4568947, 97455

Q. Check each of the following numbers whether they are divisible by 11 or not. Mention the reasons for why the number is divisible or not divisible.
(a) 1221
(b) 6535
(c) 1331
(d) 19091908
(5 marks)

Q. Test the divisibility of the following numbers by 11:

(i) 5335
(ii) 70169803
(iii) 10000001

Q.

5763 is divisible by __.

1. 3
2. 4
3. 6
4. 9

Q.

72512 is divisible by 11.

1. True

2. False

Q. Using rules of divisiblity match the following numbers.

1. 47388
2. 9361
3. 723483
4. 89900

Q. If 1*548 is divisible by 3, then * can take the value

(a) 0
(b) 2
(c) 7
(d) 8

Q. Multiply $999$ by $11$ using vedic mathematics.

1. $10889$
2. $10989$
3. None of these
4. $12489$

Q. Without actual division show that 11 is a factor of each of the following numbers:

(i) 1111
(ii) 11011
(iii) 110011
(iv) 1100011

Q. Multiply $99$ by $99$ using vedic mathematics.

1. $9001$
2. $9881$
3. $9801$
4. None of these

Q.

Question 4 (b)

Using divisibility test, determine whether the given number is divisible by 11:
10824

Q.

If a number 3A98 is divisible by 11, find the value of A. [4 MARKS]