find the greatest number that will divide 148,246,623 leaving remainders 4,6 and 11 respectively

A. 11

B. 12

C. 16

D. 18

Answer: Option B

Solution(By Examveda Team)

HCF of the 148-4,246-6 and 623-11 i.e HCF of 144, 240, 612 is the greatest number that leave remainders 4,6 and 11 respectively.
144 = 2 x 2 x 2 x 2 x 3;
240 = 2 x 2 x 2 x 2 x 3 x 5;
612 = 2 x 2 x 3 x 3 x 17
i.e HCF is 12