Question : If a nine-digit number 785$x$3678y is divisible by 72, then the value of ($x$ – $y$) is:
Option 1: –2
Option 2: 0
Option 3: 2
Option 4: –1
Correct Answer: 2
Solution :
785$x$3678y is divisible by 72.
⇒ 785$x$3678y is divisible by 8 and 9.
78$y$ is divisible by 8 only when $y$ = 4
So, the number becomes 785$x$36784.
785$x$36784 is divisible by 9 when the sum of digits of the number is divisible by 9.
7 + 8 + 5 + $x$ + 3 + 6 + 7 + 8 + 4 = 48 + $x$
At $x$ = 6, the sum of the digits of the number is divisible by 9.
So, we found,
$x = 6$ and $y =4$
$\therefore(x-y) = 6 - 4 = 2$
Hence, the correct answer is 2.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
