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28 Oct 2016, 22:48
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:26) correct
32%
(01:52)
wrong
based on 336
sessions
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When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?
1)23
2)24
3)25
4)26
5)27
If a,b,c,d are all positive integers then which of these may be the value of b+d?
1)23
2)24
3)25
4)26
5)27
Updated on: 12 Jul 2021, 09:22
Originally posted by BrentGMATPrepNow on 29 Oct 2016, 15:36.
Last edited by BrentGMATPrepNow on 12 Jul 2021, 09:22, edited 1 time in total.
Last edited by BrentGMATPrepNow on 12 Jul 2021, 09:22, edited 1 time in total.
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stonecold
Important rule: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D
For example, if we divide some positive integer by 7, the remainder can be 6, 5, 4, 3, 2, 1, or 0
Likewise, if we divide some positive integer by 4, the remainder can be 3, 2, 1, or 0
In the original question, we're told that, when a is divided by b the remainder is 13
So, b must be greater than 13.
In other words, b COULD equal 14, 15, 16, 17, ....
We're also told that, c is divided by d the remainder is 12
So, d must be greater than 12.
In other words, d COULD equal 13, 14, 15, 16, ....
So, the smallest possible value of b+d is 14+13
In other words, b+d COULD equal 27
Answer: E
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28 Oct 2016, 22:59
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b has to be greater than or equal to 14.
d has to be greater than or equal to 13.
b+d>=27
E
Sent from my iPhone using GMAT Club Forum mobile app
d has to be greater than or equal to 13.
b+d>=27
E
Sent from my iPhone using GMAT Club Forum mobile app
