Explanation:

Find LCM of 8 and 11

As both are coprime numbers

LCM (8,11)=8×11=88

Therefore number will be multiple of 88.

Largest 4 digit number is 9999 and is not divisible by 8 and 11

Therefore expected number will be less than 9999

100th multiple of 88=88×100=8800.

110th multiple of 88=88×110=9680

111th multiple of 88=88×111=9768

113th multiple of 88=88×113=9944

114th multiple of 88=88×114=10032

Above all 5 numbers are divisible by 8 and 11

But largest 4 digit number from above 5 is 9944.

Hence, option 3 is the correct answer.