Question

The difference between the sum of prime numbers and the sum of composite numbers in between 11 to 20 is completely divisible by which of the following numbers?

(A) 2 (B) 5 (C) 7 (D) 13

(1) A and B
(2) B and C
(3) C and D
(4) A and D​

Answer 1

Answer:

(4) A and D

Step-by-step explanation:

Prime numbers between 11 and 20 are 13 , 17 & 19 .

Composite numbers between 11 and 20 are 12 , 14 , 15 , 16 & 18

Sum of the prime numbers given above = 49

Sum of the composite numbers given above = 75

Their difference = -26

Among 2 , 5 , 7 and 13 , the number -26 is completely divisible by 2 and 13 .