# Divisibility Rule for 3

## Trending Questions

**Q.**

Question 4

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

**Q.**

If N÷5 leaves a remainder of 3, what might be the ones digit of the number N?

1

5

Either 7 or 2

Either 3 or 8

**Q.**

If 64y8 is exactly divisible by 3, then the least value of y is:

3

0

9

1

**Q.**

If 4xy7 is exactly divisible by 3, then the least value of (x + y) is

(a) 1

(b) 4

(c) 5

(d) 7

**Q.**

Question 2(d)

Find the product by suitable arrangement:

625×279×16

**Q.**

If 7x8 is exactly divisible by 9, then the least value of x is

0

2

3

5

**Q.**

Take a 3-digit number 'abc', reverse this number and divide the difference of the original number and the reverse by 99, the remainder is:

1

0

9

3

**Q.**

For a 3 digit number abc, abc - cba is divisible by 99.

True

False

**Q.**

Check the divisibility of 2146587 by 3.

**Q.**

Test the divisibility of each of the following numbers by 3.

100002

1693

20345

67035

**Q.**

432 is divisible by _________

3

5

7

15

**Q.**

Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

**Q.**

The number 123456 is not divisible by ________

2

All of these

3

6

**Q.**

For what value of digit x, is :

1x5 divisible by 3 ?

**Q.**

If x is a digit such that the number ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18 x 71 is divisible by 3, find possible vaues of x.

1

4

2

0

**Q.**

Find which of the following numbers are divisible by 3:

(i) 261 (ii) 777

(iii) 6657 (iv) 2574

**Q.**There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. He/She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have ?

**Q.**

392 is divisible by

- No
3

2

4

**Q.**If by dividing a three-digit number 3BA by 10, we get quotient as 34, then find the values of A and B.

B = 4

B = 3

A = 5

A = 0

**Q.**If 74z5 is a multiple of 3, where z is a digit, then what are the possible values of z?

- 2
- 5
- 8
- All of these

**Q.**

Which one of the following numbers is divisible by 3.

2146588

2146585

2146586

2146587

**Q.**

Fill in the blanks :

A number is divisible by … , if it ends in $000$ , or in three digits which form a number divisible by $8.$

**Q.**Choose the correct statements

S1: All the numbers divisible by 10 are also divisible by 5.

S2: A number divisible by 3 is also divisible by 6.

S3: A number is divisible by 7, if the last two digits are divisible by 7.

S4: If a number divides the product of two numbers exactly then it must exactly divide the numbers separately.

S5: If a number exactly divides two numbers separately, and after division, if its difference is taken then this difference will also be exactly divisible by that number.

- S4 and S5 are correct.
- S1, S2 and S5 are correct.
- Only S1 is correct.
- All the statements are correct.

**Q.**

Which of the fllowing can be the value of x, if 235x7 is divisible by 3?

1

4

7

All of these

**Q.**

Without perfo, ming actual addition and division , write the quotinet when the sum of 69 and 96 is divided by

(i) 11 (ii) 15

**Q.**

If 74z5 is a multiple of 3, where z is a digit, and sum of the digits should be greater than 16 , what can be the values of z?

5

8

All of these

2

**Q.**From the given options, choose the number which when added to 987655 will make the resultant number divisible by 3.

- 0
- 1
- 2
- 3

**Q.**The sum of a two-digit number and the number obtained by reversing the digits is always divisible by 1 and __.

- 11

**Q.**Mia has collected 5894 stickers over a period of 2 years. She now wants to share it with 2 other friends such that all 3 of them get an equal number of stamps.

Choose the correct statement:

- It is possible to divide 5894 stickers among 3 friends equally.
- If she adds one more sticker, the three friends can get equal number of stickers.
- If she keeps one sticker away, the three friends can get equal number of stickers.
- if she adds two more stickers, the three friends can get equal number of stickers

**Q.**

The first two digits of a 3 digit number are 3 and 7. What are the possible values of the unit's digit if the number is divisible by 3?

2

5

8

9