SSC Selection Post 2019 PYQ — Question 74

SSC Selection Post - Matriculation Level 2019 - 14 Oct 2019 - Shift 1 • Quantitative Aptitude • Q74

If a nine-digit number 785x3678y is divisible by 72, then the value of (7x-5y) is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 22

Divisibility by 8 , last 3 digits = 8y8
y = 4 ⇒ 848 ÷ 8 = 106 

Divisibility by 9 , sum = 48 + x
x = 6 ⇒ 48 + 6 = 54 

Now:

7x − 5y = 7(6) − 5(4) = 42 − 20 = 22​