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Updated on: 03 Apr 2022, 02:31
Originally posted by pranavmenon619 on 02 Apr 2022, 21:31.
Last edited by Bunuel on 03 Apr 2022, 02:31, edited 1 time in total.
Last edited by Bunuel on 03 Apr 2022, 02:31, edited 1 time in total.
Renamed the topic.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:14) correct
20%
(01:01)
wrong
based on 100
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If x is an integer, and Set A consists of {9, 6, x, 15, and 12}, what is the median of Set A?
(1) x < 15
(2) x^2 = 144
(1) x < 15
(2) x^2 = 144
02 Apr 2022, 21:32
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Bunuel
Official answer is E. But from what I have learned in school, a set is not supposed to have duplicate values in it. So from statement B, can we not confirm the value of x to be -12?
Official answer is E. But from what I have learned in school, a set is not supposed to have duplicate values in it. So from statement B, can we not confirm the value of x to be -12?
02 Apr 2022, 21:33
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Official Answer -
Statement (1): We are told that x < 15. The value of x might be in any of the 3 ranges we identified when analyzing the Question Stem. Therefore, Statement (1) is Insufficient to answer the question with a single value for the median. Eliminate choices (A) and (D).
Statement (2): We are told that x2 = 144. At first, it appears that x = 12 and the median of Set A is 12. However, we are not told that x must be positive. Another possibility is that x = -12. In that case, the median of Set A is 9. Statement (2) is Insufficient to solve for a single value for the median of Set A. Eliminate choice (B).
Combined: Both possible values of x given by Statement (2), namely 12 and -12, are permitted by Statement (1). Thus, even after combining statements, both values remain as possibilities, so the median still might either equal 9 or 12. The 2 statements combined are Insufficient to answer the question with a single value. Eliminate choice (C).
The correct answer is Choice (E).
Statement (1): We are told that x < 15. The value of x might be in any of the 3 ranges we identified when analyzing the Question Stem. Therefore, Statement (1) is Insufficient to answer the question with a single value for the median. Eliminate choices (A) and (D).
Statement (2): We are told that x2 = 144. At first, it appears that x = 12 and the median of Set A is 12. However, we are not told that x must be positive. Another possibility is that x = -12. In that case, the median of Set A is 9. Statement (2) is Insufficient to solve for a single value for the median of Set A. Eliminate choice (B).
Combined: Both possible values of x given by Statement (2), namely 12 and -12, are permitted by Statement (1). Thus, even after combining statements, both values remain as possibilities, so the median still might either equal 9 or 12. The 2 statements combined are Insufficient to answer the question with a single value. Eliminate choice (C).
The correct answer is Choice (E).
