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04 Jul 2021, 11:33
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
52% (00:58) correct
48%
(00:43)
wrong
based on 58
sessions
History
Date
Time
Result
Not Attempted Yet
What is the sum of positive integers x and y ?
(1) 3x + y = 6
(2) 4x + y = 7
(1) 3x + y = 6
(2) 4x + y = 7
04 Jul 2021, 13:50
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Bunuel
There are two ways we can answer this question:
1. We can somehow determine x,y individually and then solve for x+y ==> Look for trap here
2. We can somehow rearrange the given terms and get x+y directly
(1) often results in a trap because mind immediately goes to "2 equations 2 variables" and hence C, however the fact is that (2) is also possible and you do not need to know x & y individually for that. And sometimes with additional information even with 1 equation we can calculate individual information about x and y.
There is an additional possible trap here, x & y are given to be positive integers - and that is additional information we need to take into account.
a) 3x+y = 6
x and y MUST be greater than 0 and integers. This is a big constraint here as you would notice that x>=2 forces y<=0. So the only possible value is x=1 and y=3. Sum would be 4. SUFF
b) Similarly, only possible value of x is 1 and y=3. Sum would be 4. SUFF
(D)
04 Jul 2021, 19:43
Kudos
Bookmarks
Interesting question. Something that can be helpful when looking at stuff like this is to immediately be on guard. After you note in statement 2 that the only positive integer that can go with 4 is a 1 (since a 2 would provide a total of 8), you kind of get the concept this question is testing you on.
(D)
(D)
