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.

6 Questions

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Question 1

1 Mark

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

Option A is correct

71, 73

Option B

41, 83

Option C

59, 61

Option D

41, 43

Question 2

1 Mark

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

Option A is correct

‘A’, ‘B’, ‘C’ are correct.

Option B

Only ‘A’ and ‘C’ are correct.

Option C

Only ‘B’ and ‘C’ are correct.

Option D

Only ‘A’ and ‘B’ are correct.

Question 3

1 Mark

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

Option A

A

Option B

B

Option C is correct

C

Option D

D

Question 4

1 Mark

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

Option A

only by A and B

Option B

only by C and D

Option C

only by A and D

Option D is correct

By A, B and D

Question 5

1 Mark

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

Option A is correct

Statement ‘A’ incorrect

Option B is correct

Statements ‘B’ and ‘C’ are correct

Option C

Statements ‘A’ and ‘B’ are correct

Option D

Statement ‘C’ incorrect

Question 6

1 Mark

Which of the following number given in the alternatives divides exactly all the numbers 161, 371, 301, 637, 553, ?

Options

Option A

9

Option B

3

Option C is correct

7

Option D

11

Explanation

We need to find a common divisor for all the given numbers. Let's test the options: For 77: 161÷7=23161 \div 7 = 23, 371÷7=53371 \div 7 = 53, 301÷7=43301 \div 7 = 43, 637÷7=91637 \div 7 = 91, 553÷7=79553 \div 7 = 79. Since 77 divides all the numbers exactly, it is the correct answer.