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15 Nov 2013, 02:39
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:29) correct
40%
(01:06)
wrong
based on 207
sessions
History
Date
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Not Attempted Yet
If y ≠ 0, is 10/y > 5?
(1) 10 > 5y
(2) y is a positive number smaller than the smallest prime number
(1) 10 > 5y
(2) y is a positive number smaller than the smallest prime number
15 Nov 2013, 02:46
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If y ≠ 0, is 10/y > 5?
Is \(\frac{10}{y} > 5\)? --> is \(\frac{2}{y} > 1\)? Note that this cannot be rephrased as "is \(y<2\)?", because we don't know the sign of y and thus cannot multiply both sides by it.
(1) 10 > 5y --> \(y<2\). If y=1, then the answer is YES but if y is any negative number, then the answer is NO. Not sufficient.
(2) y is a positive number smaller than the smallest prime number. The smallest prime is 2, thus we are given that \(0<y<2\). For any y from this range \(\frac{2}{y} > 1\). Sufficient.
Answer: B.
Is \(\frac{10}{y} > 5\)? --> is \(\frac{2}{y} > 1\)? Note that this cannot be rephrased as "is \(y<2\)?", because we don't know the sign of y and thus cannot multiply both sides by it.
(1) 10 > 5y --> \(y<2\). If y=1, then the answer is YES but if y is any negative number, then the answer is NO. Not sufficient.
(2) y is a positive number smaller than the smallest prime number. The smallest prime is 2, thus we are given that \(0<y<2\). For any y from this range \(\frac{2}{y} > 1\). Sufficient.
Answer: B.
27 Dec 2014, 11:45
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If y ≠ 0, is 10/y > 5?
(1) 10 > 5y
(2) y is a positive number smaller than the smallest prime number
(10/y)>5 ==> lets divide both sides by 5 ==>(2/y)>1
Statement 1. 10>5y ==> divide both sides by 5 ==> y<2. If 0<y<2 then the answer is Yes. But if y<0 then answer is No.
Statement 2. The smallest prime number is 2 ==> 0<y<2. As one can see from Statement 1 this is sufficient condition.
Hence the answer is B
(1) 10 > 5y
(2) y is a positive number smaller than the smallest prime number
(10/y)>5 ==> lets divide both sides by 5 ==>(2/y)>1
Statement 1. 10>5y ==> divide both sides by 5 ==> y<2. If 0<y<2 then the answer is Yes. But if y<0 then answer is No.
Statement 2. The smallest prime number is 2 ==> 0<y<2. As one can see from Statement 1 this is sufficient condition.
Hence the answer is B
