A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the… · ABC26GN0298
Subject: General Aptitude · Chapter: Number System
A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is
(a)12
(b)22
(c)26
(d)53
Answer
Answer (as printed): A
Explanation
Let the required number be x. Then = a whole number. 13 So, (11x + 11) must be divisible by 13. By hit and trial, we get x = 12. Hence, the smallest original number is 12.
Explanation as extracted from the printed page; notation may be imperfect.