Question

Both the roots of x² - 63x + k = 0 are prime numbers. Then the sum of the digits of k is

• A. 2
• B. 5
• C. 8
• D. 10

Answer 1

The correct option is B

5

Let p, q be the roots which are primes.

∴ p + q = 63 is odd ⇒ one of p or q is the even prime 2 ⇒ other is 61.

∴ k = 61 x 2 = 122.

Sum of the digits of k = 5.

Answer : Sum of the digits of k = 5.