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# Which three of the following numbers, when multiplied by each other, y

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
Which three of the following numbers, when multiplied by each other, y  [#permalink]

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15 Jul 2019, 23:25
00:00

Difficulty:

75% (hard)

Question Stats:

35% (01:28) correct 65% (01:14) wrong based on 69 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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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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15 Jul 2019, 23:42
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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16 Jul 2019, 01:35
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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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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16 Jul 2019, 14:59
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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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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26 Jul 2019, 22:54
Hi, I didnt understand what the question is actually asking, can someone give an explanation along with the workings?
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Re: Which three of the following numbers, when multiplied by each other, y  [#permalink]

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26 Jul 2019, 23:08
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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