Divisibility Test of 7

Q.

What is the divisibility rule of $16$ and $17$?

Q.

Which of the following numbers are divisible by 11?

1. 5632

2. 49621

3. 1253

4. 9812

1. All of these

2. 1, 2 and 4

3. 1 and 2

4. 1 and 3

Q. From the first ten natural numbers, 343 is divisible by:

1. 7

Q.

'AB' is a two-digit number whose digits are A and B. If 'AB' is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following are possible values of A and B?

1. (x-2)(x-5)= – 7x + 10

2. (x+2) (x-2) = - 4

3. A=7, B=5
4. A=4, B=0

Q. If a number 'abc' is divisible by 7, then
2a + 3b + c is a multiple of .

1. 7
2. 13
3. 11

Q. By which of the following numbers is 364 divisible?

1. 3
2. 6
3. 7
4. 9

Q. By which of the following numbers is 672 divisible?

1. 7
2. 9
3. 10
4. 5

Q. Explain the divisibility rule for division by 11 with an example. [4 MARKS]

Q.

What is the divisibility test for 4, 6, 7, 8?

Q. From which number of the following numbers 7538876849 is divisible?

1. 2
2. 9
3. 3
4. 7

Q. What are the numbers which divide 364 leaving remainder as zero?

1. 7
2. 4
3. 3
4. 6

Q.

Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]

Q.

If a natural number has last digit as 0, it is divisible by 5.

1. True

2. False

Q.

If the number 6a34b4 is divisible by 3. How many values of a + b are possible?

1. 3

2. 4

3. 1

4. 2

Q. A five- digit number " AABAA " is divisible by 33. Write all the numbers of this form.

Q. By which of the following numbers is 7538876849 divisible?

1. 7
2. 2
3. 5
4. 3

Q.

If the number 6a34b4 is divisible by 3. How many values of a + b are possible?

1. 4

2. 2

3. 1

4. 3

Q.

Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):

Number	Divisible by
	2	3	4	5	6	8	9	10	11
128	Yes	No	Yes	No	No	Yes	No	No	No
990	…	…	…	…	…	…	…	…	…
1586	…	…	…	…	…	…	…	…	…
275	…	…	…	…	…	…	…	…	…
6686	…	…	…	…	…	…	…	…	…
639210	…	…	…	…	…	…	…	…	…
429714	…	…	…	…	…	…	…	…	…
2856	…	…	…	…	…	…	…	…	…
3060	…	…	…	…	…	…	…	…	…
406839	…	…	…	…	…	…	…	…	…

Q. By which of the following numbers is 245 divisible?

1. 7
2. 6
3. 2
4. 3