Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 8)
8.
The largest 4 digit number exactly divisible by 88 is:
9944
9768
9988
8888
None of these
Answer: Option
Explanation:
Largest 4-digit number = 9999

 88) 9999 (113
     88
     ----
     119
      88
     ----
      319
      264
      ---
       55
      ---
       
 Required number = (9999 - 55)
                 = 9944.        
Discussion:
67 comments Page 3 of 7.

Shashank said:   10 years ago
@Vasanti is right.

9999/11 = 909, 909/8 = 113 and reminder is 5.

Now multiply 5 by 11, because 88 has been split into 11 and 8 and 5*11 = 55, 9999-55 = 9944 is your answer.

Naveen said:   10 years ago
101^100-1 is divisible by?

P.Dhana lakshmi said:   9 years ago
I can't understand. Please tell me in another way.

Shiva said:   9 years ago
9999/88 = 113.625

Take the integer part only i.e 113 and multiply it by 88 (113 * 88 = 9944)
So, 9944 is the largest 4 digit no exactly divisible by 88 simple.

Arjun said:   9 years ago
Why cannot we do it by splitting the number?

88 = 11 * 4 * 2.

NIDHIN M Z said:   9 years ago
The largest no 9999/88 = 113.

And to compared to the values, /88 = 113.

9944/88 = 113.
9768/88 = 111.

9988/88 = 113.5.
8888/88 = 101.

So, they equal values to show the result in 9944.

Rakeshnartu@gmail.com said:   9 years ago
Apply divisibility test of 8 for this problem the last three digits should be divisible by 8.

Manyamuma said:   9 years ago
Why can not we do it by splitting the number 88 as 11 * 4 * 2?

Raksha said:   8 years ago
How 9999 is a largest 4 digit number? Please someone help me.

Rohit said:   8 years ago
Becoz in 4 digits number the 9999 is last and largest.


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