question_answer

What is the least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21 and 28?

A) 1012                     

B) 1008

C) 1015       

D) 1022

Correct Answer: C

Solution :

  L.C.M. \[\text{= 2}\times \text{7}\times \text{3}\times \text{2}\times \text{4}\times \text{3=1008}\] \[\therefore \]The required number \[\text{= 1008 + 7 = 1015}\]