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21 Apr 2016, 00:42
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B
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Difficulty:
25%
(medium)
Question Stats:
70% (01:18) correct
30%
(01:20)
wrong
based on 130
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Is the positive integer x a perfect square?
(1) x = t^n, where t is a positive integer and n is odd.
(2) x^0.5=k, where k is a positive integer.
(1) x = t^n, where t is a positive integer and n is odd.
(2) x^0.5=k, where k is a positive integer.
21 Apr 2016, 02:07
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St1: x = t^n, where t is a positive integer and n is odd.
If x = 2^1 then x is not a perfect square
If x = 4^1 then x is a perfect square
Not Sufficient
St2: sqrt(x) = k --> x = k^2. Sufficient
Answer: B
If x = 2^1 then x is not a perfect square
If x = 4^1 then x is a perfect square
Not Sufficient
St2: sqrt(x) = k --> x = k^2. Sufficient
Answer: B
21 Apr 2016, 03:05
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Bunuel
Statement 1: x = t^n, where t is a positive integer and n is odd
Here x will be a perfect square if t is a perfect square
Else x will not be a perfect square
Case 1: t =4, hence x = 4^1. A perfect square
Case 2: t = 5, hence x = 5^1. Not a perfect square
Statement 2: x^0.5=k, where k is a positive integer
x^0.5=k or x = k^2
Hence x is a perfect square.
Correct Option: B
