Questions & Answers: "Divisibility Rules and Prime Numbers"

Complete guide to "Divisibility Rules and Prime Numbers" for Math students. Below you will find important questions and model answers to help you prepare.

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5 Questions
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1.

Find the correct pair of twin prime numbers from the following in which the addition of twin prime numbers is more by 44 than the sum of all prime numbers between 1 to 25.

Options

✅

71, 73

❌

41, 83

❌

59, 61

❌

41, 43

2.

Read the following statements and choose the correct alternative. (A) 29, 31 are twin prime numbers. (B) 29, 31 are co-prime numbers. (C) 29, 31 are prime numbers.

Options

✅

‘A’, ‘B’, ‘C’ are correct.

❌

Only ‘A’ and ‘C’ are correct.

❌

Only ‘B’ and ‘C’ are correct.

❌

Only ‘A’ and ‘B’ are correct.

3.

Which of the following statement is wrong? (A) If a number is divisible by 2 and 5 then it is also divisible by 10. (B) The numbers divisible by 6 are also divisible by 2 and 3. (C) The numbers divisible by 7 are odd. (D) 1, 2, 3, 6 are common factors of all the numbers divisible by 6.

Options

❌

A

❌

B

✅

C

❌

D

4.

The difference between sum of three consecutive prime numbers before 50 and after 50 is completely divisible by which of the following? (A) 2 (B) 3 (C) 4 (D) 7

Options

❌

only by A and B

❌

only by C and D

❌

only by A and D

✅

By A, B and D

5.

Read the following statements and select the correct alternative. (Two correct options) (A) The numbers divisible by 3 and 4 are divisible by 8. (B) All numbers that are divisible by 2 and 9 are divisible by 18. (C) The numbers divisible by 6 and 10 are divisible by 2.

Options

✅

Statement ‘A’ incorrect

✅

Statements ‘B’ and ‘C’ are correct

❌

Statements ‘A’ and ‘B’ are correct

❌

Statement ‘C’ incorrect