​The largest 4 digit number exactly divisible by 88 is:

Correct option is C

Given: ​The largest 4 digit number exactly divisible by 88 is:

Solution:

Some rule:

• A number is divisible by 8 if the number formed by its last three digits in the same order (hundreds, tens and units digits) is divisible by 8.
  
• The divisibility by 11 rule states that if the difference between the sum of the digits at odd places and the sum of the digits at even places of the number, is 0 or divisible by 11, then the given number is also divisible by 11.
  

Now check by options:

Option (a): 8888

= $$\frac{8888}{88}$$ = 101 (exactly divisible)

Option (b): 9768

= $$\frac{9768}{88}$$ = 111 (exactly divisible)

​Option (c): 9944

= $$\frac{9944}{88}$$ = 113 (exactly divisible)

​Option (d): 9988

= $$\frac{9988}{88}$$ = 113.5

Now option (a), (b) and (c) exactly divisible by 88. but the largest number is 9944.

Thus, the correct answer is (c).