## Divisibility Questions and Answers in Aptitude

### Definition of Divisibility

Divisibility is a method for calculating the number of times a given number, generally referred as the “Divisor” is enclosed in a different given digit known as the “Dividend.” The number, usually is referred as the “Quotient.” The leftover of dividend from the divisor is known as the “Remainder.” In this Page Divisibility Questions and Answers is given for Practices.

The formula for checking divisibility of a given number is Dividend = (Divisor x Quotient) + Remainder.

### Rules for Divisibility

• Rule for 2
A number is divisible by 2 when the number ends with 0,2,4,6,8.
• Rule for 3
If the sum of digit is divisible by 3 than the number is divisible by 3.
• Rule for 4
If the last two digit is divisible by 4, than the number is divisible by 4.
• Rule for 5
Number is divisible by 5 if the last digit is 0 or 5.
• Rule for 6
A number is divisible by if number is divisible by 2 and 3.
• Rule for 7 : Double the last digit and subtract it from the remaining leading truncated number to check if the result is divisible by 7 until no further division is possible
• Rule for 8
If the last 3 number is divisible by 8 than the number is divisible by 8.
• Rule for 9
Same as divisibility of 3 but sum of digits is divide by 9 in place of 3
• Rule for 10
If the last digit is 0 than the number is divisible by 10.
• Rule for 25

Any value whose last two numbers are either 0 or are the multiples of 25 is absolutely divisible by 25.

For Divisibility Formulas

For How to Solve Divisibility Questions Quickly

For Tips and Tricks and Shortcuts of Divisibility

Question 1

Time: 00:00:00
Calculate the remainder for the number 3697 when it is divided by 2?

2

2

5

5

1

1

10

10

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Question 2

Time: 00:00:00
What is the quotient of the given number 2368 when it is divided by 3?

7136

7136

368

368

789

789

956

956

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Question 3

Time: 00:00:00
Which number among the given option is not divisible by 3?

111

111

993

993

125

125

999

999

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Question 4

Time: 00:00:00
Calculate the smallest integer which is a multiple of 3, 5, and 10.

52

52

20

20

30

30

35

35

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Question 5

Time: 00:00:00
Calculate how many numbers less than 500 are divisible by 2 or 3 or 4 or 5 or 7 or 21?

457

457

368

368

250

250

385

385

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Question 6

Time: 00:00:00
Identify the odd number among the following.

21

21

44

44

644

644

870

870

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Question 7

Time: 00:00:00
Calculate the quotient and the remainder when 3472 is divided by 7.

496, 0

496, 0

500, 5

500, 5

456, 2

456, 2

789, 1

789, 1

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Question 8

Time: 00:00:00
Calculate the probability of divisibility of the sum of the first B number by B.

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{3}{4}$

$\frac{5}{7}$

$\frac{5}{7}$

$\frac{1}{9}$

$\frac{1}{9}$

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Question 9

Time: 00:00:00
Calculate how many numbers between 1 and 100, including both are divisible by 9 or 4.

34

34

23

23

45

45

13

13

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Question 10

Time: 00:00:00
Calculate the smallest five digit number divisible by 12, 13, and 20.

10247

10247

10140

10140

12361

12361

None of the above

None of the above

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Question 11

Time: 00:00:00
Calculate Largest Four digit Number which is divisible by 15

9890

9890

9990

9990

9700

9700

None of the above

None of the above

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Question 12

Time: 00:00:00
Find out the smallest number which should replace x in the given number 296x12 making it divisible by 12.

7

7

9

9

1

1

zero

zero