mattapraveen wrote:

Which of the following represents the largest 4 digit number that can be added to 7249 in order to make the derived number divisible by each of 12, 14,21, 33 & 54.

A.9123

B.9383

C.8727

D.1067

E.None Of The Above

Find the LCM of the given numbers.

12= 2*2*3

14= 2*7

21= 3*7

33= 3*11

54= 3*2*3*3

Max powers of all prime numbers:

2=2

3=3

7=1

11=1

LCM=2^2*3^3*7^1*11^1=8316

8316-7249=1067. Thus, if we add 1067 to 7249, the number will be divisible by all the given numbers.

However, 1067 is not the GREATEST 4-digit number to satisfy the condition.

Next number that will be divisible is:

1067+8316=9383

Thus, adding 9383 to 7249 will give us a number that will be divisible by all the given numbers PLUS 9383 is the greatest 4-digit number that satisfies this condition.

Ans: "B"