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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
If a positive integer is divisible by 6 with a remainder ...
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Updated on: 29 Jul 2021, 06:51
Updated on: 29 Jul 2021, 06:51
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If a positive integer is divisible by 6 with a remainder 1, then this integer must be evenly divisible by what number?
(A) 51
(B) 52
(C) 53
(D) 54
(E) 55
(A) 51
(B) 52
(C) 53
(D) 54
(E) 55
Originally posted by motion2020 on 28 Jul 2021, 15:13.
Last edited by motion2020 on 29 Jul 2021, 06:51, edited 1 time in total.
Last edited by motion2020 on 29 Jul 2021, 06:51, edited 1 time in total.
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Re: If a positive integer is divisible by 6 with a remainder ...
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28 Jul 2021, 21:18
28 Jul 2021, 21:18
motion2020 wrote:
If a positive integer is divisible by 6 with a remainder 1, then this integer must be evenly divisible by what number?
(A) 51
(B) 52
(C) 53
(D) 54
(E) 55
(A) 51
(B) 52
(C) 53
(D) 54
(E) 55
Let N be such number which when divided by 6 leaves remainder 1
So, N = 6Q + 1
where;
Q = quotient
R = remainder
For Q = 0, N = 1
For Q = 1, N = 7
For Q = 2, N = 13
For Q = 3, N = 19
For Q = 4, N = 25
For Q = 5, N = 31
For Q = 6, N = 37
For Q = 7, N = 43
For Q = 8, N = 49
For Q = 9, N = 55
motion2020
I suppose the question is asking about one possible value of N??
If it is then the question must read ... then this integer COULD be evenly divisible by what number?
Here is why:
for Q = 0 we get N = 1 - which is not divisible by any of the option choices
For COULD be divisible, the answer could be E
Re: If a positive integer is divisible by 6 with a remainder ...
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28 Jul 2021, 22:34
28 Jul 2021, 22:34
Expert Reply
From now on the posts that will NOT provide the OA will be archieved
