GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 29 May 2020, 00:33

Close

GMAT 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 GMAT 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.

Close

Request Expert Reply

Confirm Cancel

If a, b, and c are positive integers, what is the value of c?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64222
If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 03 Dec 2018, 04:50
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (01:25) correct 46% (01:36) wrong based on 177 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 6278
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post Updated on: 03 Dec 2018, 08:43
1
Bunuel wrote:
If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
(2) a! + b! = c


Here there is no relation is given among a,b,c

so from 1:
a+b=c
2+1=3 yes or 2+4=6 no
not sufficient

from 2:
a!+b!=c
1!+2!=3 yes
or 2!+3!= 8 no

combining we get 1+2=3 and 1!+2!=3 or 2+2=4 , not sufficient IMO E

Originally posted by Archit3110 on 03 Dec 2018, 05:12.
Last edited by Archit3110 on 03 Dec 2018, 08:43, edited 1 time in total.
Intern
Intern
avatar
B
Joined: 10 Sep 2018
Posts: 43
Re: If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 03 Dec 2018, 05:30
IMO E

If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
(2) a! + b! = c

stmt1
1+1= 2 Yes
1+2=3 Yes
2+2=4 No
2+4 = 8 No

Stmt 2
a!+b!=c
1!+1!=2 Prime yes
1!+2!=3 Prime yes
2!+2!=4 Not PRime No

Combined
a+b =c
1+2=3 Yes
1!+2!=3 Yes

2+2=4 No
2!+2!=4 No

hence NS
Senior Manager
Senior Manager
avatar
G
Joined: 10 Jan 2013
Posts: 307
Location: India
Concentration: General Management, Strategy
GPA: 3.95
GMAT ToolKit User Reviews Badge
Re: If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 03 Dec 2018, 07:38
Archit3110 wrote:
Bunuel wrote:
If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
(2) a! + b! = c


Here there is no relation is given among a,b,c

so from 1:
a+b=c
2+1=3 yes or 2+4=6 no
not sufficient

from 2:
a!+b!=c
1!+2!=3 yes
or 2!+3!= 8 no

combining we get 1+2=3 and 1!+2!=3 suffices yes IMO C


Just wanted to add.. question stem does not say that a and b are distinct.. they can be same.

a+b=c
1+1=2 yes
2+4=6 no

a!+b!=c
1!+1!=2 yes
2!+2!=4 no

Combined..
Test using a=b=1 and a=b=2
E

Posted from my mobile device
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64222
Re: If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 24 Dec 2018, 00:32
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2899
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
Re: If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 08 Oct 2019, 04:13
1
Bunuel wrote:
If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
(2) a! + b! = c


Asked: If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
If a = 1; b = 2; c = 3 is a prime number
But if a = 1; b=3; c =4 is NOT a prime number
NOT SUFFICIENT

(2) a! + b! = c
If a = 1; b = 2; c = 3 is a prime number
But if a =2; b =3; c = 8 is NOT a prime number
NOT SUFFICIENT

(1) + (2)
(1) a + b = c
(2) a! + b! = c
If a = b = 1; c =2 is a prime number
If a = 1; b = 2; c = 3 is a prime number
But if a = b =2; c =4 is NOT a prime number
NOT SUFFICIENT

IMO E
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
SVP
SVP
avatar
D
Joined: 24 Nov 2016
Posts: 1563
Location: United States
Re: If a, b, and c are positive integers, what is the value of c?  [#permalink]

Show Tags

New post 18 Oct 2019, 09:46
Bunuel wrote:
If a, b, and c are positive integers, is c a prime number?

(1) a + b = c
(2) a! + b! = c


(1) a + b = c: 1+1=2=prime; 1+3=4≠prime, insufic.

(2) a! + b! = c: 1!+2!=3=prime; 2!+3!=8≠prime, insufic.

(1 & 2): a!+b!=a+b; 1!+1!=1+1=2=prime; 2!+2!=2+2=4≠prime, insufic.

Answer (E)
GMAT Club Bot
Re: If a, b, and c are positive integers, what is the value of c?   [#permalink] 18 Oct 2019, 09:46

If a, b, and c are positive integers, what is the value of c?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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