BTGModeratorVI wrote: ↑Thu Jun 11, 2020 8:33 am
If x and y are positive numbers, is (x + 1)/(y + 1) > x/y?
(1) x > 1
(2) x < y
Answer:
B
Source: Official guide
Note the following.
1. If x/y < 1, where x and y are positive numbers, then (x + a) / (y + a) > x/y.
This is because since x < y and an equal positive quantity 'a' is being added to them, the proportionate increment on x, i.e., the numerator is more than that on y, the denominator.
2. If x/y > 1, where x and y are positive numbers, then (x + a) / (y + a) < x/y.
This is because since x > y and an equal positive quantity 'a' is being added to them, the proportionate increment on x, i.e., the numerator is less than that on y, the denominator.
Let's take each statement one by one.
(1) x > 1
We do not have any information about y. x/y can be greater or less than y. Insufficient.
(2) x < y
Since x < y, we have x/y < 1. Seeing (x + 1)/(y + 1), we find that a = 1 is added to x and y. So, (x + 1)/(y + 1) > x/y. Sufficient.
Correct answer:
B
Hope this helps!
-Jay
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