Question

Find the quotient and remainder when a is divided by b.
Given: a = 182, b = 3

• A. Quotient q = 62, Remainder r = 2
• B. Quotient q = 50, Remainder r = 2
• C. Quotient q = 60, Remainder r = 2
• D. Quotient q = 50, Remainder r = 32

Answer 1

The correct option is C Quotient q = 60, Remainder r = 2

a = 182, b = 3
By Euclid’s division lemma,
$a=bq+r,0\le r<|b|$
$182=3\times \left(60\right)+2,0\le 2<|3|$

Therefore, Quotient q = 60, Remainder r = 2.