question_answer

The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is

A) 144      

B)  72     

C)  36

D)  85

Correct Answer: B

Solution :

LCM of 4, 6, 8, 9 \[\therefore \] LCM \[=2\times 2\times 3\times 2\times 3=72\] \[\therefore \] Required number = 72, because it is exactly divisible by 4, 6, 8 and 9 and it leaves remainder 7 when divided by 13.