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If 1,500 is the multiple of 100 that is closest to X and 2,5

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by hazelnut01 » Fri May 26, 2017 12:41 pm
If 1,500 is the multiple of 100 that is closest to X and 2,500 is the multiple of 100 closest to Y, then which multiple of 100 is closest to X + Y?

(1) X < 1,500
(2) Y < 2,500

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Source: — Data Sufficiency |

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by [email protected] » Fri May 26, 2017 3:07 pm
Hi hazelnun01,

This question is based on 'rounding' rules. We're told that 1500 is the multiple of 100 that is closest to X and that 2500 is the multiple of 100 that is closest to Y. This means that X and Y have the following ranges...

1450 <= X < 1550
2450 <= Y < 2550

We're asked for the multiple of 100 that is closets to (X+Y). We can TEST VALUES to answer this question.

(1) X < 1,500

IF....
X = 1499, Y = 2450, then (X+Y) = 3949 and the answer to the question is 3900
X = 1499, Y = 2499, then (X+Y) = 3998 and the answer to the question is 4000
Fact 1 is INSUFFICIENT

(2) Y < 2,500

The same two TESTs that I used in Fact 1 also 'fit' Fact 2...

IF....
X = 1499, Y = 2450, then (X+Y) = 3949 and the answer to the question is 3900
X = 1499, Y = 2499, then (X+Y) = 3998 and the answer to the question is 4000
Fact 2 is INSUFFICIENT

Combined, we already have two TESTs that fit both Facts and produce different answers.
Combined, INSUFFICIENT.

Final Answer: E

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