question_answer

What is the greatest 4-digit number exactly divisible by 12, 15, 20 and 35?

A)  9999                     

B)  9660  

C)  9832                     

D)  9860

Correct Answer: B

Solution :

  L.C.M. \[\text{= 5}\times \text{2}\times \text{3}\times \text{2}\times \text{7=420}\]                 \[\therefore \]The required number = The greatest 4-digit number - the remainder obtained on division of the greatest 4-digit number by the\[\text{L}\text{.C}\text{.M}\text{. = 9999 - 339 = 9660}\].