The divisor is 11 times the quotient and 5 times the remainder. If the remainder is 44, then the dividend is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4444.
Let Quotient = Q, Divisor = D, and Dividend = N
Now, according to the question
⇒ D = 11Q.....(1)
The divisor is 5 times the remainder.
⇒ D = 5 × 44 = 220
Thus, D = 220
Now, from equation 1
⇒ 220 = 11Q
⇒ Q = 20
Now,
⇒ N = D × Q + R
⇒ N = 220 × 20 + 44
⇒ N = 4400 + 44
⇒ N = 4444