Last visit was: 05 Nov 2024, 01:20 It is currently 05 Nov 2024, 01:20
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

7x^2 has two different prime factors

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3208 [14]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
7x^2 has two different prime factors [#permalink] New post   02 Sep 2021, 04:06
2
12
Bookmarks
00:00

Question Stats:

30% (01:11) correct 69% (01:02) wrong based on 53 sessions

Hide Show timer Statistics

\(7x^2\) has two different prime factors

Quantity A
Quantity B
Maximum number of different prime factors of \(x\)
1


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
ShowHide Answer
Official Answer
A
Most Helpful Community Reply
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3208 [4]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: 7x^2 has two different prime factors [#permalink] New post   03 Sep 2021, 04:44
3
1
Bookmarks
arjunbir wrote:
KarunMendiratta sir can you please explain provide explanation?
thank you


\(7x^2\) has two different prime factors
This means \(x\) must have prime factors too

For example;
If \(x = 2\)
\(7(2)^2 = (7)(2)(2)\) has 2 different prime factors \(2\) and \(7\)
So, number of different prime factors of \(x\) is one wiz. \(2\)

But WAIT, what if \(x\) is a multiple of \(7\)??

For example;
If \(x = 14\)
\(7(14)^2 = (7)(14)(14) = (7)(7)(7)(2)(2)\) also has 2 different prime factors \(2\) and \(7\)
But the number of different prime factors of \(x\) is two wiz. \(2\) and \(7\)

Col. A: \(2\)
Col. B: \(1\)

Hence, option A
General Discussion
avatar
B
arjunbir
Intern
Intern
Joined: 15 Feb 2018
Posts: 20
Own Kudos [?]: 4 [0]
Given Kudos: 457
Send PM
Re: 7x^2 has two different prime factors [#permalink] New post   03 Sep 2021, 03:12
KarunMendiratta sir can you please explain provide explanation?
thank you
avatar
B
habush
Intern
Intern
Joined: 16 Jul 2020
Posts: 3
Own Kudos [?]: 1 [1]
Given Kudos: 20
Send PM
Re: 7x^2 has two different prime factors [#permalink] New post   05 Sep 2021, 10:41
1
KarunMendiratta wrote:

\(7x^2\) has two different prime factors
This means \(x\) must have prime factors too

For example;
If \(x = 2\)
\(7(2)^2 = (7)(2)(2)\) has 2 different prime factors \(2\) and \(7\)
So, number of different prime factors of \(x\) is one wiz. \(2\)

But WAIT, what if \(x\) is a multiple of \(7\)??

For example;
If \(x = 14\)
\(7(14)^2 = (7)(14)(14) = (7)(7)(7)(2)(2)\) also has 2 different prime factors \(2\) and \(7\)
But the number of different prime factors of \(x\) is two wiz. \(2\) and \(7\)

Col. A: \(2\)
Col. B: \(1\)

Hence, option A



In that case then, shouldn't the answer be option D as there two different cases where in one case they are equal (option C) and in another case the first quantity is greater (option A)
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3208 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: 7x^2 has two different prime factors [#permalink] New post   05 Sep 2021, 10:43
1
habush wrote:
KarunMendiratta wrote:

\(7x^2\) has two different prime factors
This means \(x\) must have prime factors too

For example;
If \(x = 2\)
\(7(2)^2 = (7)(2)(2)\) has 2 different prime factors \(2\) and \(7\)
So, number of different prime factors of \(x\) is one wiz. \(2\)

But WAIT, what if \(x\) is a multiple of \(7\)??

For example;
If \(x = 14\)
\(7(14)^2 = (7)(14)(14) = (7)(7)(7)(2)(2)\) also has 2 different prime factors \(2\) and \(7\)
But the number of different prime factors of \(x\) is two wiz. \(2\) and \(7\)

Col. A: \(2\)
Col. B: \(1\)

Hence, option A



In that case then, shouldn't the answer be option D as there two different cases where in one case they are equal (option C) and in another case the first quantity is greater (option A)


No dear, because you have been asked about the Maximum number of different prime factors of x

Posted from my mobile device
avatar
B
raghav4202
Intern
Intern
Joined: 01 Oct 2021
Posts: 47
Own Kudos [?]: 12 [0]
Given Kudos: 43
Send PM
7x^2 has two different prime factors [#permalink] New post   05 Mar 2024, 09:43
here in this case isnt the question talking about just 'x' and not '7x' ? so if x = 2 in 7x^2 then (x) will only have one prime number and that is 2 and '7' wont be included.
Could you confirm here Carcass
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29887
Own Kudos [?]: 36118 [0]
Given Kudos: 25918
Send PM
7x^2 has two different prime factors [#permalink] New post   05 Mar 2024, 11:32
Expert Reply
No In this case 7x^2 based on the stem we do know that we have two different prime factors. This implies that we have to assess the maximum number of primes in the composite number 7x^2

But because we have two different prime numbers we must have a number > 1 otherwise the stem would contradict itself

The question looks like tricky but indeed it is a question of logic

For example x cannot be 7

7x^2= 7*7^2=7*49=7*7*7 but this is not possible from the stem

A is the answer
Prep Club for GRE Bot
gmatclubot
7x^2 has two different prime factors [#permalink]
05 Mar 2024, 11:32
Moderators:
adewale223
GRE Instructor
77 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
228 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact