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Math Expert V
Joined: 02 Sep 2009
Posts: 59186
Which three of the following numbers, when multiplied by each other, y  [#permalink]

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Difficulty:   75% (hard)

Question Stats: 34% (01:27) correct 66% (01:14) wrong based on 67 sessions

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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

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Senior Manager  P
Joined: 07 Mar 2019
Posts: 390
Location: India
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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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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.
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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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Bunuel wrote:
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. -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
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Director  P
Joined: 18 Dec 2017
Posts: 727
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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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Bunuel wrote:
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 don't quite understand the question. Like I multiplied by I or I by II and by III or what are we talking about? Sorry it might be dumb but I don't understand
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Manager  B
Joined: 17 Sep 2017
Posts: 100
Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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Hi, I didnt understand what the question is actually asking, can someone give an explanation along with the workings?
Manager  B
Joined: 02 Jun 2014
Posts: 50
Schools: ISB '15
Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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The question language is very odd.

Options should be like
1 & 2
2 & 3
1 & 3

I dont understand what option
1 only
2 only
3 only would mean

Posted from my mobile device Re: Which three of the following numbers, when multiplied by each other, y   [#permalink] 26 Jul 2019, 23:08
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