SSC CGL 2020 PYQ — Question 74

SSC CGL - 5th March 2020 Shift 1 • Quantitative Aptitude • Q74

If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x + y + z ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 16

Understanding Application
We will test the divisibility of 9 in the given number.

As 9 is a factor of 99 so we will test the divisibility of 9 in the given number.

Digital sum = 7 + 0 + 8 + x + 6 + y + 8 + z + 9 = 38 + x + y + z

The sum should be divisible by 9, for this 

⇒ x + y + z + 38 = 45 / 54 / 63

⇒ x + y + z = 7 / 16 / 25

The only available option is 16 i.e. our answer.