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 4 of 7.

Nikita said:   5 years ago
9768 ÷ 88 = 111.
9768 is a greater number.
So, I think B is the correct answer.

Kuldeep said:   4 years ago
How came 119? Please explain.

Siva said:   6 months ago
Please, explain again.

Chandrika said:   3 weeks ago
9768 is also divisible by 88, but it is not the largest number.

Sitam said:   1 decade ago
To akansha it is a correct method.formula of divisible by 11 is odd place no=even place number and by 8 is the sum of first 3 digit must be divisible by 8.Here greatest number is given 9944 which fulfil the two condition above.Although others are also fulfil the conditions but they are not greatest.

Srija said:   1 decade 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.

Siva said:   1 decade ago
@Balaji,

All numbers in that option are divisible by 11 and option B. And option D are also divisible both 11 and 8 then how you can say that above method is correct?

Pravallika said:   1 decade ago
I agree with @Vasanthi because give no should be divisible by both 11 and as well as 8. But we should take the rule for divisibility of 8 only not 4*2. i.e. no formed by last 3 digit no should be divisible by 8.

Karthika said:   1 decade ago
4 digits no 9999 k. But how is it 113, 88, 119, 319? Please explain sir.

Balaji said:   1 decade ago
9944.

(9+4)-(9+4)=0 or div by 11.

Last 3 digit 944 div by 8.

So it is div by 88.


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