# Divisibility by 3

## Trending Questions

**Q.**

How to find cube root by division method?

**Q.**In one hour, a boat goes 11 kmph along the stream and 5 kmph against the stream. Find the speed of the boat in still water (in kmph).

**Q.**

Which of the following number is divisible by 99?

913462

135792

114345

3572406

**Q.**Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.

**Q.**Question 48

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

**Q.**

If the three digit number 24x is divisible by 9 then what is the value of x

**Q.**

Let $f:R\to R$ be such that for all $x\in R$, $({2}^{1+x}+{2}^{1-x})$, $f\left(x\right)$and $({3}^{x}+{3}^{-x})$ are in A.P, then the minimum value of $f\left(x\right)$is:

$0$

$4$

$3$

$2$

**Q.**

Add the following: ${\mathrm{l}}^{2}+{\mathrm{m}}^{2},{\mathrm{m}}^{2}+{\mathrm{n}}^{2},{\mathrm{n}}^{2}+{\mathrm{l}}^{2},2\mathrm{lm}+2\mathrm{mn}+2\mathrm{nl}$

**Q.**

Total numbers of $4$ digit-number which are not divisible by $5$ are?

$7200$

$3600$

$14400$

$1800$

**Q.**

Divide and check your answer $2781$divided by $35$

**Q.**

If 5x6 is exactly divisible by 3, then the least value of x is

(a) 0

(b) 1

(c) 2

(d) 3

**Q.**

Using divisibility tests, determine if given number is divisible by $6$ :

$4335$

**Q.**

The value of $(1+\mathrm{i}{)}^{5}(1-\mathrm{i}{)}^{5}$

$-8$

$8\mathrm{i}$

$8$

$32$

**Q.**

Question 63

Find the value of k, where 31k2 is divisible by 6.

**Q.**For every positive integer n, prove that (7^n)-(3^n) is divisible by 4.

**Q.**

If x7y5 is exactly divisible by 3, then the least value of (x + y) is

(a) 6

(b) 0

(c) 4

(d) 3

**Q.**

A837B is divisible by 88. Find the digits A and B

**Q.**

Question 72

If 148101B095 is divisible by 33, find the value of B.

**Q.**If 20a3 is a 4-digit number and a multiple of 3, then sum of the possible values of a is

**Q.**

Question 62

212x5 is a multiple of 3 and 11. Find the value of x.

**Q.**

36A2 is divisible by 3 , find the value of A

4 , 8

2, 7 , 10

1, 4 , 7

2 , 3

**Q.**

31x5 divisible by 3 ?

**Q.**

What is the probability that a number selected at random from the set of numbers $\left\{1,2,3,\dots ,100\right\}$ is a perfect cube?

$\frac{1}{25}$

$\frac{2}{25}$

$\frac{3}{25}$

$\frac{4}{25}$

**Q.**

Which of the following statements are true ?

(i) If a number is divisible by 3, it must be divisible by 9.

(ii) If a number is divisible by 9, it must be divisible by 3.

(iii) If a number is divisible by 4, it must be divisible by 8.

(iv) If a number is divisible by 8, it must be divisible by 4.

(v) A number is divisible by 18, if it is divisible by both 3 and 6.

(vi) If a number is bivisible by both 9 and 10, ut nyst be divisible by 90.

(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.

(viii) If a number divides three numbers exactly, it must divede their sum exactly.

(ix) If two numbers are co-prime , at least one of them must be a prime number.

(x) The sum of two consecutive odd numbers is always divisible by 4.

**Q.**

Given an example of a number which is divisible by:

(i) 2 but not by 4.

(ii) 3 but not by 6.

(ii) 4 but not by 8.

(iv) both 4 and 8 but not by 32.

**Q.**

If 68y5 is divisible by 11, Where y is a digit, What is the value of y

**Q.**Test the divisibility of each of the following numers by 5:

(i) 95

(ii) 470

(iii) 1056

(iv) 2735

(v) 55053

(vi) 35790

(vii) 98765

(viii) 42658

(ix) 77990

**Q.**

198 is divisible by:

11

- 5
- 8
- 6

**Q.**

**Question 19**

**In the given question, fill in the blanks to make the statement true.**

20x3 is a multiple of 3, if the digit x is

**Q.**

Given that the number ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯35 a 64 is divisible by 3, where a is a digit, what are the possible volues of a?