# Divisibility Questions ## 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.”

### The formula for Divisibility

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

### Rules

• A given digit whose units place has 0 or any other digit which can be divided by 2.
• A given digit can be divisible by 4 if the preceding two numbers are either 0 or are divisible by 4.
• Any digit that ends with a 5 or 0 is perfectly divisible by 5
• For identifying any digit that is divisible by 7, one is required primarily to double the last number of the given value.
• Any number whose last three digits are either 0 or are perfectly divisible by 8 can be divided by 8.
• When the difference in the total of the numbers at odd places as well as the sum of the numbers at even places of any value is 0 or a multiple of 11, that value or digit is absolutely divisible by 11
• Any value whose last two numbers are either 0 or are the multiples of 25 is absolutely divisible by 25.

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 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, 3, 4, 5, 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. 1/2

1/2

3/4

3/4

5/7

5/7

1/9

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 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