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Author:  Bunuel [ 18 Dec 2022, 07:00 ]
Post subject:  12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate

12 Days of Christmas GMAT Competition with Lots of Fun

If p, q are each greater than 0 but less than 1, which of the following may be true?

I. p/q > 1
II. pq > 1
III. q – p > 1

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

 This question was provided by Experts'Global for the 12 Days of Christmas Competition Win $30,000 in prizes: Courses, Tests & more  Author: Suvankar8250 [ 18 Dec 2022, 07:19 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Answer is option A. Only I is true.  Author: samagra21 [ 18 Dec 2022, 07:22 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate If p, q are each greater than 0 but less than 1, which of the following may be true?I. p/q > 1II. pq > 1III. q – p > 1A. I onlyB. II onlyC. I and II onlyD. I and III onlyE. I, II, and IIII) take p=1/2, q=1/3. p/q=1.5>1 (True)II) pq >1 ? product of two proper fraction is always less than 1. (False)III) This will never happen because max val of q is <1, and min val of p is >0. (False)Hence A is the answer  Author: TBT [ 18 Dec 2022, 07:23 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Range of p,q is between 0 and 1.Q. asks "may be true"1. If p=0.9 and =0.1 then yes so b out2. pq > 1 the product of 2 no.s between this range will always be <1 . Try the same no's as 1 C,E out3. q – p > 1 If all the no's are <1 then how can the difference be >1? You can try some no and check D outAns: A  Author: wadhwakaran [ 18 Dec 2022, 07:27 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate 0  Author: Kinshook [ 18 Dec 2022, 07:29 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Asked: If p, q are each greater than 0 but less than 1, which of the following may be true? I. p/q > 1 : If p=1/2 ; q = 1/3; p/q = 3/2 >1: MAY BE TRUEII. pq > 1 : 0 1 : 0 Author: Sarmadk5 [ 18 Dec 2022, 07:31 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If p, q are each greater than 0 but less than 1, which of the following may be true? I. p/q > 1 II. pq > 1 III. q – p > 1 A. I only B. II only C. I and II only D. I and III only E. I, II, and III  This question was provided by Experts'Global for the 12 Days of Christmas Competition Win$30,000 in prizes: Courses, Tests & more

Only possible is I.

II.. multiplication of below 1 will always result in less than 1.

III... Subtraction of less than 1 amounts/ numbers will answer in less than .

Answer is I as only Denominator lower than numerator will give results more than 1 if both numerator and denominator are between 0 and 1 . It satisfies the given .

Posted from my mobile device

 Author: Catman [ 18 Dec 2022, 07:33 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate I. p/q > 1 Possible for value of p=0.6 and q=0.2II. pq > 1 Not possible p can have value as 0.9 and q as 0.8 product is 0.72 III. q – p > 1 Difference of number p,q in the range 0

Author:  Archit3110 [ 18 Dec 2022, 07:36 ]
Post subject:  12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate

from given info we have following possibilities

0<p < q <1
or 0<q<p<1
1/2 , 1/3 can be used to test values
which of following may be true

I. p/q > 1
1/3 / 1/2 ; NO
1/2 / 1/3 ; yes

II. pq > 1
1/3 * 1/2 ; 1/6 <1
not possible

III. q – p > 1

1/3-1/2 ; (-1/6)
1/2-1/3 ; ( 1/6)
not possible
I only
OPTION A

Bunuel wrote:
12 Days of Christmas GMAT Competition with Lots of Fun

If p, q are each greater than 0 but less than 1, which of the following may be true?

I. p/q > 1
II. pq > 1
III. q – p > 1

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

 This question was provided by Experts'Global for the 12 Days of Christmas Competition Win \$30,000 in prizes: Courses, Tests & more

 Author: Elite097 [ 18 Dec 2022, 07:50 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate I. p/q > 1 Yes if p=1/2 and q=1/4II. pq > 1 No since fractions are proper fractionsIII. q – p > 1 No as the distance can never be > 1 as they are both b/w 0 and 1Ans A

 Author: sivatx2 [ 18 Dec 2022, 07:51 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate We know both p and q is a fraction whose value is between 0 and 1. We need to identify at least for some cases, if option I, II, and III are true.I. p/q > 1Let p = 1/2 and q = 1/4.Then p/q = 2.For the above example p/q > 1.So keep options that include I. So, eliminate B.II. pq > 1Multiplying 2 fractions both 0 1Even if we assume q is larger than p, substraction will result in diminishing the number.Example, let's assume q = 9/10 and p = 1/10.q-p = 8/10.So, never the result will be greater than 1. Eliminate options that include III. D is gone.So, the best answer choice is A.

 Author: szcz [ 18 Dec 2022, 07:58 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Q-p<1 since qmax=1 and pmin=0Let p=.75 and q=.25. p/q=3Pq<1Hence answer is APosted from my mobile device

 Author: akhtolkhyn [ 18 Dec 2022, 08:01 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Let's suppose p=0.8 q=0.5 I. 0.8/0.5>1 II. 0.8*0.5<1 III. 0.5-0.8<1So A must be true.

 Author: thisisit25 [ 18 Dec 2022, 08:09 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate If p, q are each greater than 0 but less than 1, which of the following may be true?I. p/q > 1Possible. p = 0.3, q = 0.2p/q = 3/2 = 1.5 > 1II. pq > 1Never. 0 < p < 1 and 0 < q < 1. eg: p = 0.99999999, q = 0.99999999 would still not make pq > 1III. q – p > 1Not possible. Take close to largest value for q = 0.9999999999 and close to smallest for p = 0.0000000000001If you subtract, the difference is still not greater than 1 because q itself is smaller than 1 and p is greater than 0.Answer: A. Only I

 Author: Lizaza [ 18 Dec 2022, 08:15 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate This task is rather straightforward - we need to deal with the options one by one.I. Whenever $$p>q$$, we will always get $$\frac{p}{q}>1$$For instance, $$\frac{0.8}{0.5} = 1.6$$Therefore, option I may be true.II. We have two decimals below 1. And when we multiply any number by a decimal less than 1,we always decrease this number, no exceptions: for instance, $$10*0.9=9$$, where (obviously) $$9<10$$.Therefore, by multiplying one number below 1 by another similar number will only further decrease the first multiple.That is to say, it is impossible to go beyond 1 by multiplying two number less than 1.Thus, option II may not be true.III. To see the solution to this option, let's compare the new data to the original task:We know that $$q<1$$. Now we are told that $$q-p>1$$, or $$q>1+p$$.Can this inequality be true? $$1+p < q < 1$$ Of course not, unless P is negative (which is not the case).Therefore, option III may not be true.So, the answer is A. I only.

 Author: nikhil553 [ 18 Dec 2022, 08:21 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate I. p/q > 1when p=1/2 and q=1/4 p/q=2 so its true II. pq > 1 not true p=0.99 & q=0.99 pq<1III. q – p > 1since both q&P less than 1 & higher than 0 this case is also not trueso And A. I only

 Author: kavitaverma [ 18 Dec 2022, 08:26 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate If p, q are each greater than 0 but less than 1, which of the following may be true? I. p/q > 1II. pq > 1III. q – p > 1A. I onlyB. II onlyC. I and II onlyD. I and III onlyE. I, II, and III------------------------------IMO Ap/q >1 , eg - p=3/5, q=2/7, p/q = 21/10pq cannot be greater than 1 as the numerator in both the cases are less than the denominator. so their product will also be less than 1q - p cannot be greater than 1 as both the numbers are less than 1 and their difference can either be another fraction or a negative number.

 Author: kratos0906 [ 18 Dec 2022, 08:41 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate I- Let, p=0.5 , q=0.25so, p/q=2>1. Hence, I may be true. II- When two numbers between 0 and 1 are multiplied the result will always be a number between 0 and 1. III- Difference between two numbers between 0 and 1 will always be a number between 0 and 1. Hence, IMO A.

 Author: GauthamManoj [ 18 Dec 2022, 08:56 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate Given that 01If p = 0.5 and q = 0.1p/q = 5, >1This may be possibleOption 2pq > 1Let us consider the largest value possible for both p and q to get the maximum value for the productp = q = 0.999 (cannot be negative)pq = 0.998.. <1Will never be>1Option 3p - q >1Even this is impossibleConsider the maximum value for P and the minimum value for q (q cannot be negative)p = 0.999 and q = 0.001even the p-q not > 1I only

 Author: neetib [ 18 Dec 2022, 09:03 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate If p, q are each greater than 0 but less than 1, which of the following may be true?I. p/q > 1valid when p=.2 and q=.1II. pq > 1cant possible since multiplication will bring a lower value III. q – p > 1this is also not possibleoa:A

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