The range of the numbers in set S is X, and the range of the numbers in set T is y. If all of 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
E
OG The range of the numbers in set S is x
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We are given that the range of the numbers in set S is x and that the range of the numbers in set T is y. We also know that all of the numbers in set T are included in set S. We must determine whether x is greater than y or, in other words, whether the range of set S is greater than the range of set T. Recall that the formula for the range of a set of numbers is: range = largest number - smallest number.AbeNeedsAnswers wrote:The range of the numbers in set S is X, and the range of the numbers in set T is y. If all of 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
E
Statement One Alone:
Set S consists of 7 numbers.
Without knowing anything about the values of the numbers in set S or anything about set T, statement one alone is not sufficient to answer the question.
Statement Two Alone:
Set T consists of 6 numbers.
Without knowing anything about the values of the numbers in set T or anything about set S, statement two alone is not sufficient to answer the question.
Statements One and Two Together:
From statements one and two, we know that set S contains 7 numbers and that set T contains 6 numbers. We also know from the given information that all of the numbers in set T are also in set S. However, we still do not have enough information to determine whether the range of set S is greater than the range of set T. Let's test a few cases to illustrate.
Case #1
set T = {1,2,3,4,5,6}
y = range of set T = 6 - 1 = 5
set S = {1,2,3,4,5,6,7}
x = range of set S = 7 - 1 = 6
In the above case, x is greater than y.
Case #2
set T = {1,2,4,5,6,7}
y = range of set T = 7 - 1 = 6
set S = {1,2,3,4,5,6,7}
x = range of set S = 7 - 1 = 6
In the above case, x = y.
Answer: E
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Target question: Is x greater than y?AbeNeedsAnswers wrote:The range of the numbers in set S is X, and the range of the numbers in set T is y. If all of 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
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
Cheers,
Brent