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# The function a#b may be defined axb or a^b; what is the value of p#q?

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Joined: 18 Apr 2017
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The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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18 Apr 2017, 15:15
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Source: Experts' Global

The function a#b may be defined as axb or a^b; what is the value of p#q?

(1) 2#2 = 4
(2) p = q = 2

All the best!

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Re: The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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28 Dec 2018, 20:08
1
Mo2men wrote:
chetan2u wrote:
ExpertsGlobal wrote:
Source: Experts' Global

The function a#b may be defined as axb or a^b; what is the value of p#q?

(1) 2#2 = 4
(2) p = q = 2

All the best!

Hi..
Not a 700 level Q. ~ 600
It has statement I, which does not mean anything to Q as no value of variables given and can be eliminated without any thinking..

We know the formula as axb, which is poorly written and must be meaning a*b, or a^b and we just require value of variables p and q..
Statement II gives the value as 2 and 2..
With2 as values 2*2 or 2^2 would both be 4. So here it does not matter what # means '*' or '^'
Sufficient
B

Hi chetan2u

I need you help for statement 1.

Does not 2#2 = 4 mean that p=q=2 and then we can reach same conclusion like statement 2?

Hi..

Statement I tells us 2#2=4...
This just tells us that it could be 2*2 or 2^2 as both are equal to 4..

We are looking for p# q which is p*q or p^q..

Here we cannot equate p #q as 2#2, as there is nothing in question that shows the two are related.
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Math Expert
Joined: 02 Aug 2009
Posts: 8602
The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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18 Apr 2017, 16:33
ExpertsGlobal wrote:
Source: Experts' Global

The function a#b may be defined as axb or a^b; what is the value of p#q?

(1) 2#2 = 4
(2) p = q = 2

All the best!

Hi..
Not a 700 level Q. ~ 600
It has statement I, which does not mean anything to Q as no value of variables given and can be eliminated without any thinking..

We know the formula as axb, which is poorly written and must be meaning a*b, or a^b and we just require value of variables p and q..
Statement II gives the value as 2 and 2..
With2 as values 2*2 or 2^2 would both be 4. So here it does not matter what # means '*' or '^'
Sufficient
B
_________________
Director
Joined: 05 Mar 2015
Posts: 937
Re: The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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18 Apr 2017, 17:53
ExpertsGlobal wrote:
Source: Experts' Global

The function a#b may be defined as axb or a^b; what is the value of p#q?

(1) 2#2 = 4
(2) p = q = 2

All the best!

(1) no info about p or q ...insuff

(2) 2^2 and 2*2 are same ie = 4
suff

Ans B
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Re: The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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18 Apr 2017, 18:07
In Statement 2, subsituting 2 for the values of P and Q both gives the value 4. ie 2^2 or 2x2 and hence we get a answer ie B
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2439
Concentration: Operations, Strategy
Schools: Erasmus
The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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28 Dec 2018, 20:00
chetan2u wrote:
ExpertsGlobal wrote:
Source: Experts' Global

The function a#b may be defined as axb or a^b; what is the value of p#q?

(1) 2#2 = 4
(2) p = q = 2

All the best!

Hi..
Not a 700 level Q. ~ 600
It has statement I, which does not mean anything to Q as no value of variables given and can be eliminated without any thinking..

We know the formula as axb, which is poorly written and must be meaning a*b, or a^b and we just require value of variables p and q..
Statement II gives the value as 2 and 2..
With2 as values 2*2 or 2^2 would both be 4. So here it does not matter what # means '*' or '^'
Sufficient
B

Hi chetan2u

I need you help for statement 1.

Does not 2#2 = 4 mean that p=q=2 and then we can reach same conclusion like statement 2?

RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2439
Concentration: Operations, Strategy
Schools: Erasmus
Re: The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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28 Dec 2018, 20:12
chetan2u wrote:
Hi..

Statement I tells us 2#2=4...
This just tells us that it could be 2*2 or 2^2 as both are equal to 4..

We are looking for p# q which is p*q or p^q..

Here we cannot equate p #q as 2#2, as there is nothing in question that shows the two are related.

Thanks for response
Director
Joined: 09 Mar 2018
Posts: 980
Location: India
Re: The function a#b may be defined axb or a^b; what is the value of p#q?  [#permalink]

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28 Dec 2018, 20:32
ExpertsGlobal wrote:
Source: Experts' Global
The function a#b may be defined as axb or a^b; what is the value of p#q?
(1) 2#2 = 4
(2) p = q = 2

Inline are my 2 cents

Statement (1) -> Its just a statement which is not speaking about p and q, 2#2 can be p and q respectively or not.
Making statement 1 not sufficient.

Statement (2) -> This is sufficient by itself, p^q = 2^2 =4 and p*q = 2*2 = 4.

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Re: The function a#b may be defined axb or a^b; what is the value of p#q?   [#permalink] 28 Dec 2018, 20:32