question_answer

The greatest number of 5 digits, which is divisible by 15, 36, 21 is

A) 99459

B) 99540

C) 99979

D) 99999

Correct Answer: B

Solution :

[b] Required number is divisible by the LCM of 15, 36, 21 i.e., it is divisible by \[(3\times 5\times 12\times 7)=1260\] Greatest number of 5 digits = 99999 On dividing 99999 by 1260, remainder = 459 \[\therefore \] Required number \[=(99999-459)\] = 99540