On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6.
Let the number be X and the
So, X = (55 × Q) + 28 [Where Q = 1, 2, 3, ..., n]
⇒ X = (5 × 11 × Q) + 22 + 6
⇒ X = (5 × 11 × Q) + (2 × 11) + 6
Therefore, the remainder will be 6.