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Updated on: 14 Feb 2020, 00:12
Originally posted by gmatter923 on 13 Feb 2020, 13:01.
Last edited by Bunuel on 14 Feb 2020, 00:12, edited 2 times in total.
Last edited by Bunuel on 14 Feb 2020, 00:12, edited 2 times in total.
Renamed the topic and edited the question.
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Difficulty:
35%
(medium)
Question Stats:
74% (02:12) correct
26%
(02:14)
wrong
based on 234
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What least number must be subtracted from 13601, so that the remainder is divisible by 87?
a) 23
b) 31
c) 29
d) 37
e) 49
a) 23
b) 31
c) 29
d) 37
e) 49
13 Feb 2020, 14:01
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To begin with,kindly follow the rules of posting
https://gmatclub.com/forum/rules-for-po ... 33935.html
Though poorly worded ,it meant
(13601 - x) should be divisible by 87.
Can only happen if
(13601-x)/87=Integer (quotient) or 13601=87(quotient) +x
Note! Quotient =Integer (can’t be a non-Integer)
hence substitute x=29
(13601-29)/87= Integer
Any other value of x from the answer choices will give you a non-Integer
Posted from my mobile device
https://gmatclub.com/forum/rules-for-po ... 33935.html
Though poorly worded ,it meant
(13601 - x) should be divisible by 87.
Can only happen if
(13601-x)/87=Integer (quotient) or 13601=87(quotient) +x
Note! Quotient =Integer (can’t be a non-Integer)
hence substitute x=29
(13601-29)/87= Integer
Any other value of x from the answer choices will give you a non-Integer
gmatter923
Posted from my mobile device
13 Feb 2020, 14:53
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gmatter923
I agree with Staphyk above, although I would rephrase the question in the following manner, based on what I perceive to be the intended meaning:
What is the least number from among the following that must be subtracted from 13,601 so that the difference is evenly divisible by 87?
In the revised question, it is clear that the difference between 13,601 and x is what should then be divided--without a remainder--by 87. If the question is driving at something different, then I am at a loss for words. I would also recommend listing the answers in ascending order, in keeping with the way in which most Problem Solving questions are formatted:
(A) 23
(B) 29
(C) 31
(D) 37
(E) 49
I did work out that 29 would be the answer to the question I have written above, since \(\frac{(13,601-29)}{87}\) is the only quotient that leads to a whole-number answer, but again, that is only the answer to the question I perceive is being asked.
- Andrew
