Divisibility by 5

Q.

The relation $R$ defined in $N$ as $aRb\iff b$ is divisible by $a$ is

1. Reflexive but not symmetric

2. Symmetric but not transitive

3. Symmetric and transitive

4. None of the above

Q.

How many $8-digits$ numbers are there in all?

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Q.

If the division N÷5 leaves a remainder of 1, what might be the ones digit of N?

Q.

Find the largest number of $5$-digits which is exactly divisible by $57$

Q. Give five examples of numbers, each one of which is divisible by 4 but not divisible by 8.

Q. Which is the common factor of 20 and 25?

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

Q.

Which of the following is divisible by 9?

1. 96345210

2. 87941032

3. 67594310

4. 8576901

Q.

Find all digits x, y such that is divisible by 36.

Q. " 18! + 1 is divisible by 19 and 23 " prove it .

Q.

Using the divisibility test, determine $7138965$ is divisible by $11$ or not?

Q.

Find the greatest number which divides the greatest $3$-digit number and the greatest $4$-digit number.

Q.

Fill in the blanks with the smallest digit to make the number divisible by $11$:

$304\_\_\_5$

Q.

Using divisibility test, determine $70169308$ is divisible by $11$.

Q.

Using divisibility tests, determine $1700$ is divisible by $4$ and $8$.

Q. Test the divisibility of each of the following numbers by 8:
(i) 134
(ii) 618
(iii) 3928
(iv) 50176
(v) 39392
(vi) 56794
(vii) 86102
(viii) 66666
(ix) 99918
(x) 77736

Q. Question 6

In the given question, out of four options, only one is correct. Write the correct answer.

A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are
(a) 0 and 2
(b) 2 and 5
(c) 0 and 5
(d) 7

Q.

Find the values of the letters [3 MARKS]

$\begin{array}{c}AB\\ \times 6\\ BBB\end{array}$

Q.

Using divisibility tests, determine the following number is divisible by $11$ .

$5445$

Q.

If the division $N÷5$ leaves a remainder of 0, what are the possible values of the unit’s digit of N? [2 MARKS]

Q. Test the divisibility of each of the following numbers by 7:
(i) 693
(ii) 7896
(iii) 3467
(iv) 12873
(v) 65436
(vi) 54636
(vii) 98175
(viii) 88777

Q. Factorise the following : (i) 25a Square + 30a + 9

Q. Question 6

In the given question, out of four options, only one is correct. Write the correct answer.

A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are
(a) 0 and 2
(b) 2 and 5
(c) 0 and 5
(d) 7

Q.

Using the divisibility test, determine $14560$ is divisible by $4$, by $8$ or not?

Q.

Check if the given set of numbers is exactly divisible by $4$. If yes , then find out whether the sum and difference of the two numbers are also exactly divisible by $4$.

$64$ and $16$

Q. Question 35

In the given question, state whether the given statement is True or False.

A three-digit number abc is divisible by 5, if c is an even number.

Q. 5^8-3^8 is not divisible by i) 2. ii) 16. iii) 17. iv) 25 How to find out this

Q.

Is $312$ divisible by $2$?

Q.

Using the divisibility test, determine $2150$ is divisible by $4$, by $8$ or not?

Q.

Find which of the following numbers are divisible by 5 :

(i) 3250 (ii) 5557

(iii) 39255 (iv) 8204

Q.

Find the remainder when 981547 is divided by 5. Do this without doing actual division.