Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
If $x$ and $y$ are two digits of the number 653 $x y$ such that the number is divisible by 80, then $x+y$ is equal to
(a)3
(b)4
(c)5
(d)6
Answer
Answer (as printed): D
Explanation
Since 653xy is divisible by 80, we must have y = 0. Now, 653x0 must be divisible by both 5 and 16. Clearly, it is divisible by 5 for all values of x. Now, the number 53x0 must be divisible by 16. The least value of x is clearly 6. So, x + y = 6 + 0 = 6.
Explanation as extracted from the printed page; notation may be imperfect.