$$is\ \frac{x}{y}<\frac{x+5}{y+5}?$$
Statement 1: y=5
$$From\ question\ stem,\ \frac{x}{5}<\frac{x+5}{5+5}$$
$$frac{x}{5}<\frac{x+5}{10}?$$
Since the value of x is not given, then we cannot answer the target question. So, therefore, statement 1 is NOT SUFFICIENT.
Statement 2: x>y
x and y are both positive integer.
So, let's observe a condition where x>y.
For instance, x=8, y=4
$$From\ question\ stem,\ \frac{8}{4}<\frac{8+5}{4+5}$$
$$2<\frac{13}{9}$$
$$2<1.44$$
$$With\ respect\ to\ the\ t\arg et\ question\ asked;\ then,\ NO,\frac{x}{y}is\ not<\frac{x+5}{y+5}$$
Therefore, statement 2 is SUFFICIENT.
Since statement 2 ALONE is sufficient, but statement 1 alone is not, then the correct answer choice is option B.
Cheers!
If \(x\) and \(y\) are positive integers, is \(\dfrac{x}{y} < \dfrac{x+5}{y+5}?\)
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Source: Beat The GMAT — Data Sufficiency |
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deloitte247
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