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 2 of 7.

Moncy said:   4 years ago
9999/88=113.625.

Take 113 before the decimal and multiply it with 88.
113 x 88=9944 is the answer.
(7)

Darshan Prajapati said:   4 years ago
How it is correct? because above in the example no. 6 method is to split the number & then check the number either diveded by all or not.

And same method if we applied in this example (11*2*4) = 88.

So, 9988 is divided by all 11, 2, & 4.

Please anyone clarify this.
(6)

Darshan Prajapati said:   4 years ago
How it is correct? because above in the example no. 6 method is to split the number & then check the number either diveded by all or not.

And same method if we applied in this example (11*2*4) = 88.

So, 9988 is divided by all 11, 2, & 4.

Please anyone clarify this.
(3)

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

Bhuvi said:   5 years ago
1st 9999 divided by 88 then remaining answer is 55 then 9999 - 55 = 9944.
(4)

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

Charan said:   5 years ago
Simple trick to solve.

Take unit digit method.

88 * 88 take unit place and multiple it we get 64. We check the options which option unit place is 4. There is only one option unit digit is 4 ie. Option A.

Aarya said:   6 years ago
Because it is the biggest 4 digit number -9999.

Ruchita said:   6 years ago
Here is an easier method.

First, divide 9999 by 11(9999/11=909).
Then divide 909 by 8 (909/8 = we get 5 reminder).

But 5 is for 909.
909=5.
9999=?.
Then 9099*5/909.

We can get 55 reminder by this easy method.

Aditya said:   6 years ago
The easiest way to understand this is Euclid's division lemma.

Dividend = divisior * quatient+remainder.
So 9999 = 88 * 113 + 55..
9999-55 = 88 * 113 = 9944 = 9944.
(1)


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