question_answer

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20,28,32 and 3 5, is

A)  1120   

B)  4714

C)  5200               

D)  5600

Correct Answer: B

Solution :

[b] \[\therefore \,\,\,LCM=2\times 2\times 5\times 7\times 8=1120\] \[\therefore \,\,\,\operatorname{Re}qired\,\,number\] \[=5834-\,1120=4714\]