Management Aptitude Test 2016 Paper

(b) Let the number be x
According to the question,
x = 17 q1 + 12
Also. x = 11 q2 + 8
⇒ 17 q1 + 12 = 11 q2 + 8
⇒ 17 q1 -11 q2 = - 4
⇒ 11 q2 -17 q1 = 4
The above equation is satisfied when q2 = 5 and q1 = 3.
Now, x = 17 q1 + 12
= 17 x 3 + 12
= 51 + 12 = 63
When 63 is divided by 23, then the remainder is 17