IPMAT Indore 2022 - QA (MCQ) Q18 Explanation

Explanation:

(a)

Given abcde is divisible by 6

Means, abcde is divisible by both 2 & 3.

It mean (a+b+c+d+e) is always divisible by 3 (using divisibility rule of 3)

And the value of ‘e’ is certainly 0, 2, 4, 6 or 8. Now going by options,

Options (b)

eee ⇒ this no. be divisibly by 3 & 2 both (means by 6 as well) because sum of digit is 3e & unit digit is same as that of original number.

Option (c)

bbadcacede ⇒ again the sum of digit = 2 (b+a+d+e+c) & unit digit is again ‘e’ same as that of the original no.

Options (d)

cdbae is also divisible by 3 and 2 both (thus by 6) for the same reasons.

Unit digit in above 3 options is ‘e’ which is same as that of the original number.

Option1. Unit digit is ‘a’ and we are not sure whether it is even or odd, so edcba is not necessarily divisible by 2 & thus not by 6