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15 Jul 2019, 23:25
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Difficulty:
85%
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Question Stats:
37% (01:27) correct
63%
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wrong
based on 82
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Which three of the following numbers, when multiplied by each other, yield a product less than \(–1\)?
I. \(\frac{-18}{19}\)
II. \(\frac{23}{-22}\)
III. \(\frac{17}{-16}\)
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
I. \(\frac{-18}{19}\)
II. \(\frac{23}{-22}\)
III. \(\frac{17}{-16}\)
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
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15 Jul 2019, 23:42
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Since all the three fractions are <0 thus all three have to be multiplied with each other resulting in a fraction <1(III being <1).
Also point to note here that options available here (A,B,C,D) are not workable at all.
Let me know it this is helpful.
Also point to note here that options available here (A,B,C,D) are not workable at all.
Let me know it this is helpful.
16 Jul 2019, 01:35
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Bunuel
Which three of the following numbers, when multiplied by each other, yield a product less than \(–1\)?
I. \(\frac{-18}{19}\)
II. \(\frac{23}{-22}\)
III. \(\frac{17}{-16}\)
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
I. \(\frac{-18}{19}\)
II. \(\frac{23}{-22}\)
III. \(\frac{17}{-16}\)
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
I. -18/19 > -1
II. -23/22 <-1
III. -17/16 <-1
IMO B & C
\(I*II = \frac{-18}{19}*\frac{-23}{22} =\) +ve number >-1
\(I*II*III = -\frac{18}{19} * -\frac{23}{22} * \frac{-17}{16}= \frac{-18*23*17}{19*22*16}=\frac{-3519}{3344} <-1\)
IMO E
