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Which three of the following numbers, when multiplied by eac
[#permalink]
15 Jul 2019, 02:45

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Question Stats:

Which three of the following numbers, when multiplied by each other, yield a product less than \(–1\)?

Indicate three such numbers.

A. \(\frac{-15}{17}\)

B. \(\frac{-18}{19}\)

C. \(\frac{23}{-22}\)

D. \(\frac{17}{-16}\)

Indicate three such numbers.

A. \(\frac{-15}{17}\)

B. \(\frac{-18}{19}\)

C. \(\frac{23}{-22}\)

D. \(\frac{17}{-16}\)

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
15 Jul 2019, 14:52

can somebody please solve this?

thanks!

thanks!

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
20 Jul 2019, 09:50

3

The question must be wrong, all the options are negative and so when they multiply with each other it will yield positive result which will never be less than -1.

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
20 Jul 2019, 10:57

1

Expert Reply

I think you did misinterpret the question. The stem says

Which three of the following numbers NOT two you have take multiplication of.

You must multiply THREE of the 4 answer choices

That said, a shortcut is to compare the fraction in couples

\(\frac{-15}{17} = \frac{-17}{17} + \frac{2}{7} = -1 + \frac{2}{17}\)

\(-\frac{18}{19} = -\frac{19}{19} + \frac{1}{9} = -1 + \frac{1}{19}\)

Now, comparing the first and the second, disregarding -1 which is equal in both fractions, \(\frac{2}{17} > \frac{1}{19}\)

Doing this proces you will get the answer.

A key concept here is that ALL the answer choices are negative. However, you should notice at a glance that certain fractions are between -1 and zero. Others are less than -1. We care only of the latter

Regards

Which three of the following numbers NOT two you have take multiplication of.

You must multiply THREE of the 4 answer choices

That said, a shortcut is to compare the fraction in couples

\(\frac{-15}{17} = \frac{-17}{17} + \frac{2}{7} = -1 + \frac{2}{17}\)

\(-\frac{18}{19} = -\frac{19}{19} + \frac{1}{9} = -1 + \frac{1}{19}\)

Now, comparing the first and the second, disregarding -1 which is equal in both fractions, \(\frac{2}{17} > \frac{1}{19}\)

Doing this proces you will get the answer.

A key concept here is that ALL the answer choices are negative. However, you should notice at a glance that certain fractions are between -1 and zero. Others are less than -1. We care only of the latter

Regards

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
21 Jul 2019, 20:24

1

thanks carcass!

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
17 Sep 2019, 04:00

The main theme here is, if you use calculator to find the values by dividing each term, you will get like respectively: -15/17 = -8824; -18/19 = -.9474; 23/-22 = - 1.0455 ; 17/-16 = 1.0625; We know that, from -3, -2 , -1, -.8, -.5; the bigger value is -3< -2<-1<-.8<-.5 . So just eliminate 1st one. Have Fun.

Re: Which three of the following numbers, when multiplied by eac
[#permalink]
17 Sep 2019, 04:08

Carcass wrote:

Which three of the following numbers, when multiplied by each other, yield a product less than \(–1\)?

Indicate three such numbers.

A. \(\frac{-15}{17}\)

B. \(\frac{-18}{19}\)

C. \(\frac{23}{-22}\)

D. \(\frac{17}{-16}\)

Indicate three such numbers.

A. \(\frac{-15}{17}\)

B. \(\frac{-18}{19}\)

C. \(\frac{23}{-22}\)

D. \(\frac{17}{-16}\)

Attachment:

Screenshot from 2019-09-17 18-05-09.png [ 179.25 KiB | Viewed 6002 times ]

Re: Which three of the following numbers, when multiplied by eac
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09 Jul 2023, 22:43

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which three of the following numbers, when multiplied by eac [#permalink]

09 Jul 2023, 22:43
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