If 0 < k < 1, then which of the following must be less than k?

   If 0 < k < 1, then which of the following must be less than k?
(A)
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Press: Set B - Substitution

 
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If 0 < k < 1, then which of the following must be less than k? 
Posted: 05/21/2016 20:49
How come k= 1/4 ?
Arcadia
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Posted: 05/21/2016 22:18
Hi Saeed,

A fraction like 1/2 would have worked just as well for answer-choices (A), (B), and (C). But for choice (D), it's hard to determine the value of the square root of 1/2. So, we needed a perfect square, and chose the smallest perfect square available, 1/4.

Nova Press