Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 67)
67.
Which natural number is nearest to 9217, which is completely divisible by 88 ?
9152
9240
9064
9184
None of these
Answer: Option
Explanation:
On dividing we get, 

 88) 9217 (104
     88
     ----
      417
      352
      ----
       65
      ----
  
 Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65.
                            = 9217 + 23
                            = 9240.      
Discussion:
13 comments Page 1 of 2.

SALEH said:   2 months ago
Decision rule:

If r<d/2​ → nearest is below (subtract remainder).
If r>d/2​ → nearest is above (add d−rd−r).
If r=d/2→ both are equally near,
Here,

88/2 = 44, 44<remainder 65,
So, 9217 + (88-65) = 9240,
Hence, the answer is 9240.

Varad said:   4 years ago
Simple divide 9217 by 88 you will get 65 as the remainder.

Now, there are 2 cases;

Case 1) 9217 - 65 = 9152.

Case 2) 9217 + (88 - 65) = 9240/(88 - 65) to find difference.

The nearest number is 9240. So, that's the answer.
(4)

Mahesh said:   6 years ago
Here, what they asked which natural no nearest 1 which div by 88.

Let's check the diff b/w option to 9217.
1.65
2.23
3. 153
4.33.

Among 2 is near to 9217.

Lets check B (9240) is div by 88 are not.
105 time of 88 gives 9240.
So, B is the right answer.
(2)

V.Harshitha said:   6 years ago
Both option A and B are divisible by 88, what is the correct answer? please tell me.
(1)

Satyam srivastava said:   7 years ago
I am not getting the answer, Please explain this in detail.

Soni said:   8 years ago
Yes, right @Tanya.

Sanket Gawai said:   8 years ago
9152 is the nearest number Which is divisible by 88.

Meghana said:   9 years ago
Could you please tell us, how we will know, where to use the above formula or, the formula which was said by Tanya.

Sl9lomon lianzaw said:   9 years ago
According to me, the given 9240 is the correct answer.

HK Patel said:   1 decade ago
Co factor of 88 = 11*8, So no must be divisible by both 11 & 8. Now in case of 9152,

Last 3 digit sum is 2+5+2 = 8 which is divisible by 8 and you can check 11 also by (5+9)-(2+1) = 11,

Which is divisible by 11. So correct answer is 9152.
(2)


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