If the 6- digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what can be the value of (5x - 2y)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 14
For x35624 to be divisible by 11,
⇒ 3 + 6 + 4- (x + 5 + 2) = 0
⇒ 13 - x - 7 = 0
⇒ x = 6 -----------------------------------1
Now, for 1257y4 to be divisible by 72, it should be divisible by both 8 as well as 9.
So, y = 8/4 --------------------------------2
From 1 & 2
5x - 2y = 5 × 6 - 2 × 8 or 5 × 6 - 2 × 4
= 30 - 16 or 30 - 8
= 14 or 22