Divisibility Rule for 3

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. 1

2. 5

3. Either 7 or 2

4. Either 3 or 8

Q.

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

1. 3

2. 0

3. 9

4. 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:

$625\times 279\times 16$

Q.

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

1. 0

2. 2

3. 3

4. 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. 1

2. 0

3. 9

4. 3

Q.

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

1. True

2. False

Q.

Check the divisibility of $2146587$ by $3.$

Q.

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

1. 100002

2. 1693

3. 20345

4. 67035

Q.

432 is divisible by _________

1. 3

2. 5

3. 7

4. 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 ________

1. 2

2. All of these

3. 3

4. 6

Q.

For what value of digit x, is :

$1x5\text{divisible by 3 ?}$

Q.

If x is a digit such that the number $\overline{18x71}$ is divisible by 3, find possible vaues of x.

1. 1

2. 4

3. 2

4. 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

1. No

2. 3

3. 2

4. 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.

1. B = 4

2. B = 3

3. A = 5

4. A = 0

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

1. 2
2. 5
3. 8
4. All of these

Q.

Which one of the following numbers is divisible by 3.

1. 2146588

2. 2146585

3. 2146586

4. 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.

1. S4 and S5 are correct.
2. S1, S2 and S5 are correct.
3. Only S1 is correct.
4. All the statements are correct.

Q.

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

1. 1

2. 4

3. 7

4. 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?

1. 5

2. 8

3. All of these

4. 2

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

1. 0
2. 1
3. 2
4. 3

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

1. 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:

1. It is possible to divide 5894 stickers among 3 friends equally.
2. If she adds one more sticker, the three friends can get equal number of stickers.
3. If she keeps one sticker away, the three friends can get equal number of stickers.
4. 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?

1. 2

2. 5

3. 8

4. 9