What is the value of positive integer x?
(1) 1 x^5 36
(2) 2x x^2
OE:
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(1) 1 x^5 36
(2) 2x x^2
OE:
[Reveal] Spoiler:
Answer choice (C)
(1): x can be 1 or 2 because1^5 = 1, so 1 1^5 36 does satisfy the statement, but2^5 = 22222 = 32, which is between 1 and 36, so 2 also satisfies the statement. Thus, x can have more than one value. No definite answer. Insufficient
(2): 2x is not equal to x2. The only integer for which NOT true is 2, since 2x2 is equal to 2^2=4.
Thus, (2) tells that x can be any integer other than 2. No definite answer. Insufficient
Combined: (1) limits the value of x to 1 and 2, and (2) eliminates 2 as a possible answer.
Hence, x = 1. Sufficient
(1): x can be 1 or 2 because1^5 = 1, so 1 1^5 36 does satisfy the statement, but2^5 = 22222 = 32, which is between 1 and 36, so 2 also satisfies the statement. Thus, x can have more than one value. No definite answer. Insufficient
(2): 2x is not equal to x2. The only integer for which NOT true is 2, since 2x2 is equal to 2^2=4.
Thus, (2) tells that x can be any integer other than 2. No definite answer. Insufficient
Combined: (1) limits the value of x to 1 and 2, and (2) eliminates 2 as a possible answer.
Hence, x = 1. Sufficient