This question is a DS question from Inequalities.
Is a3 > a2?
1. 1/a > a
2. a5 > a3
Correct Answer
The correct answer is Choice A. Statement 1 alone is sufficient.
Let us evaluate each of these statements independently
Statement 1 : 1/a > a
For positive values of ‘a’ if 1/a is > a, a has to lie in the interval 0 < a < 1.
In this interval a3 < a2
For negative values of ‘a’ a3 < a2
Hence, from statement 1 we can conclude that a3 is not greater than a2
Statement 1 is SUFFICIENT.
Statement 2 : a5 > a3
For positive values of ‘a’ if a5 > a3 a has to be greater than 1. In this interval a3 > a2
For negative values of ‘a’ a3 < a2
Hence we will not be able conclude whether a3 > a2
Statement 2 is NOT SUFFICIENT.
Choice A is the answer
Hence we will not be able conclude whether a3 > a2
Statement 2 is NOT SUFFICIENT.
Choice A is the answer
when we say a is greater than 1, for a^5> a^3 to be true as per the statement given. Then y are we considering negatve values of a?