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GMAT Question Pack 1 DS a = 1,743.152 b = 2,621.073 c = 3,28

Expert replies
by richachampion » Thu May 18, 2017 10:18 pm
a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927

If X is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of X?

(1) The hundredths digit of X is greater than 6.
(2) The thousandths digit of X is less than 4.
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Source: — Data Sufficiency |

by richachampion » Thu May 18, 2017 10:18 pm
OA : C
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by [email protected] » Fri May 19, 2017 10:58 am
Hi richachampion,

This question is really just about 'math vocabulary' and paying careful attention to the numbers that we're given to work with.

We're told that X is one of the four listed values. We're asked for the value of X.

1) The HUNDREDTHS digit of X is greater than 6.

This Fact narrows down the options to 2 possibilities: B and C - but we don't know which one is X.
Fact 1 is INSUFFICIENT

2) The THOUSANDTHS digit of X is less than 4.

This Fact narrows down the options to 2 possibilities: A and B - but we don't know which one is X.
Fact 2 is INSUFFICIENT

Combined, we now have to look for the 'overlap' - the option(s) that 'fit' BOTH Facts. Based on our prior work, there's ONLY one possibility: value B.

Final Answer: C

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