If p, q, r, and s are as shown on the number line above, which of the

Question

https://gmatclub.com/forum/download/file.php?id=88477 If p, q, r, and s are as shown on the number line above, which of the following products is greatest? A. pq B. pr C. qr D. qs E. rs GMAT_PS_PREP07_22672.png

Mohammadmo · Answer

As the absolute value of P is the greatest so, pq is the greatest amount.
Option A

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Abhishek009 · Answer

Plug in some arbitrary value and check ( If not satisfied with theory of Numbers )

p = - 3 , q = -0.75 , r = -0.50 & s = 0.50

Check now,  Mohammadmo  has correctly stated -p & - q will yeild +ve maximum value as they are wide apart from base 0.

Harsht7 · Answer

Since  s>0  while  p, q, r <0  - multiplying any of  p,q, or, r  with  s  will give negative value whereas multiplying two negatives will give positive, hence we can simply eliminate option     and     which contain  s .
Now, if we see that  |p|  and  |q|  are >  |r|  hence multiplying  p  and  q  will give greater value than multiplying either of them with  r 
Hence Answer       pq

ScottTargetTestPrep · Answer

Since s is only positive quantity and the other three are negative, the product of any two of the negative quantities will be positive but the product of any one of the negative quantities and s will be negative. Thus we can eliminate choices D and E. Of the remaining three choices, we see that since p is less than -1 and q is close to -1, the product of p and q will be greatest.

Answer: A

dcummins · Answer

I presume 1 unit to the left of zero is always negative 1 otherwise the figure is incorrect.

In any case:
p has the greatest distance from 0, so we'd want to utilise that in some way. We are looking for the greatest value (positive or as close to zero as possible if negative)

D and E are negative while A,B,C are positive so eliminate D and E

Assume p=-1.5, q=-3/4 and r = -1/2
A - 3/4 * 3/2 = 9/8
B -3/2 *-1/2 = 3/4
C conceptually two proper fractions multiplied will already be smaller than an improper fraction* Proper fraction, but for consistency:
-3/4 * -1/2 = 3/8

C<B<A

A is correct

Hovkial · Answer

It appears that the figure is incorrectly drawn. Points p, q and r have negative values.

Eyeball approximate values for p, q, r, s. We get:

p = -2, q = -3/4, r = -1/2, s = 1/2

So, pq = 3/2, pr = 1, qr = 3/8, qs = -3/8, rs = -1/4

We can eliminate the negative quantities from consideration. Among pq, pr and qr, the quantity pq (=1.5) is clearly the greatest.

ANSWER: A

minionbaba · Answer

Bunuel

In the question image, the value of 1 on the left of 0 should be -1 & not +1

Bunuel · Answer

Yes, it should. Please provide the correct image if you got it. Thank you!

minionbaba · Answer

https://gmatclub.com/forum/download/file.php?id=88477 here you go GMAT-Club-Forum-yt0xj3ml.png

Bunuel · Answer

Fixed. Thank you so much!

If p, q, r, and s are as shown on the number line above, which of the

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GMAT Problem Solving (PS) Questions

If p, q, r, and s are as shown on the number line above, which of the

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