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28 Sep 2017, 04:56
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
54% (01:39) correct
46%
(01:47)
wrong
based on 223
sessions
History
Date
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Not Attempted Yet
If \(x_1\), \(x_2\), \(x_3\), … \(x_n\) is a sequence such that \(x_n=\frac{n}{2}\) for all values \(x \geq 1\), is \(x_b\) less than \(x_h\) ?
(1) \(\sqrt{b} \geq \sqrt{h}\)
(2) b and h are distinct prime numbers.
(1) \(\sqrt{b} \geq \sqrt{h}\)
(2) b and h are distinct prime numbers.
himanshukamra2711
28 Sep 2017, 05:21
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Bunuel
eventually the question is whether b>h
a)considering b=1 h=1 1<1 No
b=2 h=1 2>1 yes...Insuff
b)b and can be any prime no,making either of the two possibilities of b>h or h>b..insuff
c)makes sense
28 Sep 2017, 07:25
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Bunuel
To find \(x_b\)\(<\)\(x_h\)
or \(\frac{b}{2}<\frac{h}{2}=> b<h\)
Statement 1: as \(b\) & \(h\) are positive, we can directly square the inequality to get \(b≥h\)
Now if \(b>h\), then the answer to our question stem is NO
and if \(b=h\), then also answer to our question stem is NO. Hence Sufficient
Statement 2: \(b\) and \(h\) can be any prime nos and hence \(b>h\) or \(b<h\). Hence Insufficient
Option A
