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31 Jul 2019, 00:09
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Difficulty:
55%
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Question Stats:
69% (02:50) correct
31%
(02:46)
wrong
based on 222
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[GMAT math practice question]
\(n\) ranges over the positive integers between \(100\) and \(200,\) inclusive. Find the number of values of \(7n+2\) which are multiples of \(5\)
\(A. 18\)
\(B. 20\)
\(C. 22\)
\(D. 24\)
\(E. 26\)
\(n\) ranges over the positive integers between \(100\) and \(200,\) inclusive. Find the number of values of \(7n+2\) which are multiples of \(5\)
\(A. 18\)
\(B. 20\)
\(C. 22\)
\(D. 24\)
\(E. 26\)
01 Aug 2019, 02:27
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Hi,
I'm not sure if my approach is correct but here's how I did it.
7n+2 will be divisible by 5 if 7n has last digit as 3 or 8. There are only two digits (103 and 108) from 100 to 110. So from 100 to 200, there will be 2*10 digits which satisfy this condition.
Please correct me if i'm wrong. Would request your input Bunuel .
Cheers!
I'm not sure if my approach is correct but here's how I did it.
7n+2 will be divisible by 5 if 7n has last digit as 3 or 8. There are only two digits (103 and 108) from 100 to 110. So from 100 to 200, there will be 2*10 digits which satisfy this condition.
Please correct me if i'm wrong. Would request your input Bunuel .
Cheers!
General Discussion
31 Jul 2019, 02:52
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7n+2= 0 mod 5
7n= -2 mod 5= 3 mod 5
n= 4 mod 5
104= 4 mod 5
.
.
199= 4 mod 5
total possible values of n= [(199-104)/5]+1=20
7n= -2 mod 5= 3 mod 5
n= 4 mod 5
104= 4 mod 5
.
.
199= 4 mod 5
total possible values of n= [(199-104)/5]+1=20
MathRevolution
