Question

A prime number N leaves remainder 2 when divided by 7 and it lies between 19 and 41.

Find N.

A. 29

B. 23

C. 37

D. 31

1.

A and B are correct

2. B and C are correct 
3.

A, B, and D are correct

4.

Only C is correct

Answer 1

Correct Answer - Option 2 : B and C are correct 

Formula Used:

Remainder Theorem

Dividend = (Divisor × Quotient) + Remainder           

Calculation:

Prime numbers between 19 and 41 are 23, 29, 31, 37

23 = 7 × 3 + 2

29 = 7 × 4 + 1

31 = 7 × 4 + 3

37 = 7 × 5 + 2

23 and 37 are required numbers.

∴ B and C are correct