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10 Feb 2020, 05:15
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B
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:
70% (01:59) correct
30%
(02:12)
wrong
based on 257
sessions
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Not Attempted Yet
If r is an integer, is s an integer?
(1) The average (arithmetic mean) of r, s, and 2s + 3 is not an integer.
(2) The average (arithmetic mean) of r, s, and s + 1 is r.
(1) The average (arithmetic mean) of r, s, and 2s + 3 is not an integer.
(2) The average (arithmetic mean) of r, s, and s + 1 is r.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Feb 2020, 11:11
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#1
the average (arithmetic mean) of r, s, and 2s + 3 is not an integer.
r+3s+3/3 = not integer
given r is an integer say r = 1 sp 4+3s/3 ; s= 1,1/3 we get yes and no
insufficient
#2
The average (arithmetic mean) of r, s, and s + 1 is r
r+2s+1=3r
2s+1=2r
r is integer ; say r= 1
so s= 1/2
r=2
s= 3/2
sufficient
s is not integer
IMO B
the average (arithmetic mean) of r, s, and 2s + 3 is not an integer.
r+3s+3/3 = not integer
given r is an integer say r = 1 sp 4+3s/3 ; s= 1,1/3 we get yes and no
insufficient
#2
The average (arithmetic mean) of r, s, and s + 1 is r
r+2s+1=3r
2s+1=2r
r is integer ; say r= 1
so s= 1/2
r=2
s= 3/2
sufficient
s is not integer
IMO B
Bunuel
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27 Mar 2020, 02:06
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Bunuel
I.
\((r+s+2s+3)/3\) is not a integer. That is on simplification we get \(\frac{r}{3}+s+1\) is not an integer. Here we can not say anything about \(s\) as even if \(s\) is aa integer or non integer statement I can be satisfied. Hence no deterministic answer for \(s\).
II.
\(r+s+s+1=3r\) that is
\(2s=2r-1\) note that \(2r-1\) will be odd always as \(r\) is an integer. Thus \(2s\) has to be odd and this is possible only when \(s\) is not an integer.
Hence B is answer
