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Math Expert V
Joined: 02 Sep 2009
Posts: 57297
If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Difficulty:   95% (hard)

Question Stats: 22% (01:21) correct 78% (01:22) wrong based on 139 sessions

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If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?

(1) If p equals 2, then q equals 3.
(2) If q equals 3, then p equals 2.

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If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Bunuel wrote:
If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?

(1) If p equals 2, then q equals 3.
(2) If q equals 3, then p equals 2.

#1 If p equals 2, then q equals 3
then p*q = 6 but no info about p=3 so insufficient
#2
If q equals 3, then p equals 2
then p*q = 6
but no info about p=2 so insufficient
from 1 &2
p*q = 6 sufficient
IMO C
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Originally posted by Archit3110 on 12 Jul 2019, 10:53.
Last edited by Archit3110 on 16 Jul 2019, 18:36, edited 2 times in total.
Manager  S
Joined: 23 Dec 2011
Posts: 54
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Hi Bunuel, chetan2u

Could you please explain why OA is C?
Senior Manager  G
Joined: 09 Aug 2017
Posts: 406
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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1
This is really a very fascinating problem.

ST1gives only one condition when P= 2, not tell about other condition when p=3
Insufficient.

Similarly, statement 2 doesn't tell both conditions.
Insufficient.

St1+St2 gives both conditions and for both values of P we are getting pq= 6; therefore, C is correct.

GMAT is really about how much you focus, which I lack too.

Archit3110 wrote:
Bunuel wrote:
If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?

(1) If p equals 2, then q equals 3.
(2) If q equals 3, then p equals 2.

#1 If p equals 2, then q equals 3
then p*q = 6 sufficient
#2
If q equals 3, then p equals 2
then p*q = 6 sufficient
IMO D
Intern  B
Joined: 10 May 2018
Posts: 34
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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1
Since combining the statements also gives the same information and no info about p=3 how the solution is C..Can somebody please explain
Manager  S
Joined: 26 Mar 2019
Posts: 100
Concentration: Finance, Strategy
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Quote:
If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?

(1) If p equals 2, then q equals 3.
(2) If q equals 3, then p equals 2.

I agree with ManjariMishra, and believe that the second statement should read "If p equals 3, then q equals 2.

Otherwise, it is the same information. I also noticed the same information and answered E, which appeared to be incorrect.
Intern  B
Joined: 10 Dec 2016
Posts: 20
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Hi Bunuel,

Please share the answer with explanation. How C is the correct answer ?
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Joined: 27 Feb 2019
Posts: 7
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Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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Bunuel VeritasKarishma - Could you please explain the solution?
Veritas Prep GMAT Instructor D
Joined: 16 Oct 2010
Posts: 9563
Location: Pune, India
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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3
1
amitcpotnis wrote:
Bunuel VeritasKarishma - Could you please explain the solution?

p could be 2 or 3.

Using both statements, if p is 2, q is 3. If q is 3, p is 2.

But what if p = 3? Then is q = 2? May be, may be not.

If q = 2 when p = 3, then pq = 6
If q = 100 when p = 3, then pq is not 6

Since p can be either 2 or 3, we don't what value q will take and hence we cannot say whether pq will be 6 or not.

Answer (E)
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Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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VeritasKarishma wrote:
amitcpotnis wrote:
Bunuel VeritasKarishma - Could you please explain the solution?

p could be 2 or 3.

Using both statements, if p is 2, q is 3. If q is 3, p is 2.

But what if p = 3? Then is q = 2? May be, may be not.

If q = 2 when p = 3, then pq = 6
If q = 100 when p = 3, then pq is not 6

Since p can be either 2 or 3, we don't what value q will take and hence we cannot say whether pq will be 6 or not.

Answer (E)

VeritasKarishma : OA is E or C?
Intern  B
Joined: 27 Feb 2019
Posts: 7
Concentration: General Management, Marketing
Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?  [#permalink]

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VeritasKarishma wrote:
amitcpotnis wrote:
Bunuel VeritasKarishma - Could you please explain the solution?

p could be 2 or 3.

Using both statements, if p is 2, q is 3. If q is 3, p is 2.

But what if p = 3? Then is q = 2? May be, may be not.

If q = 2 when p = 3, then pq = 6
If q = 100 when p = 3, then pq is not 6

Since p can be either 2 or 3, we don't what value q will take and hence we cannot say whether pq will be 6 or not.

Answer (E)

Thank you very much for the quick reply. Someone has to edit the clickable options. It shows "C" as the right option. Re: If the value of p is one of the numbers 2 and 3, then is pq ≠ 6 ?   [#permalink] 03 Aug 2019, 02:36
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