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# If S and W are integers, is w/5 an integer? (1) 4s + 2 is divisible

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Senior RC Moderator
Joined: 02 Nov 2016
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If S and W are integers, is w/5 an integer? (1) 4s + 2 is divisible  [#permalink]

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14 Feb 2019, 02:19
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5% (low)

Question Stats:

88% (01:27) correct 12% (01:49) wrong based on 82 sessions

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If S and W are integers, is $$\frac{w}{5}$$ an integer?

(1) 4s + 2 is divisible by 5

(2) w + 3 = 4s

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Re: If S and W are integers, is w/5 an integer? (1) 4s + 2 is divisible  [#permalink]

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14 Feb 2019, 06:15
2
From S1:

4s+2 is divisible by 5.
No info or relation between W and S.
S1 is insufficient.

Form S2:

W+3 = 4S
4S-W = 3
S could be 1 and W could be 1, then W is not divisible by 5.
If S is 2 and W is 5, then W is divisible by 5.
Two answers. Hence S2 is insufficient.

Combining both:
5+W is divisible by 5, then W is divisible by 5.

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Re: If S and W are integers, is w/5 an integer? (1) 4s + 2 is divisible  [#permalink]

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14 Feb 2019, 11:39
1
If S and W are integers, is $$\frac{w}{5}$$ an integer?

(1) 4s + 2 is divisible by 5

(2) w + 3 = 4s

#1
4s+2 divisible by 5 ; when s = 2 , 12 ,22 ,32 ... in short with all unit digit values ending with 2

not sufficient since w is not known
#2
w+3=4s
s not known in sufficient
from 1 & 2
at s= 2,12,22,32 when 4s subtracted by 3 will always given an integer with units place 5 which is divisible by 5
sufficient
IMO C
Re: If S and W are integers, is w/5 an integer? (1) 4s + 2 is divisible   [#permalink] 14 Feb 2019, 11:39
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