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The range of the numbers in set S is x, and the range of the numbers in set T is y. If all the numbers in set T are also

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The range of the numbers in set S is x, and the range of the numbers in set T is y. If all the numbers in set T are also

by BTGmoderatorLU » Wed Nov 17, 2021 4:59 am

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The range of the numbers in set S is x, and the range of the numbers in set T is y. If all the numbers in set T are also in set S, is x greater than y?

1) Set S consists of 7 numbers
2) Set T consists of 6 numbers

The OA is E
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Source: — Data Sufficiency |

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Re: The range of the numbers in set S is x, and the range of the numbers in set T is y. If all the numbers in set T are

by Brent@GMATPrepNow » Wed Nov 17, 2021 10:01 am

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BTGmoderatorLU wrote: ↑
Wed Nov 17, 2021 4:59 am
 Source: Official Guide

The range of the numbers in set S is x, and the range of the numbers in set T is y. If all the numbers in set T are also in set S, is x greater than y?

1) Set S consists of 7 numbers
2) Set T consists of 6 numbers

The OA is E
Target question: Is x greater than y?

Given: The range of the numbers in set S is X. The range of the numbers in set T is Y. All of the numbers in set T are also in Set S

Statement 1 contains no information about set T, so statement 1 is NOT SUFFICIENT
Statement 2 contains no information about set S, so statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several conflicting scenarios that satisfy BOTH statements. Here are two:
Case a: set S = {1, 1, 1, 1, 1, 1, 4}, which means X = 3, and set T = {1, 1, 1, 1, 1, 1}, which means Y = 0. In this case, X IS greater than Y
Case b: set S = {1, 1, 1, 1, 1, 1, 1}, which means X = 0, and set T = {1, 1, 1, 1, 1, 1}, which means Y = 0. In this case, X is NOT greater than Y
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E
Brent Hanneson - Creator of GMATPrepNow.com
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