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08 Feb 2017, 01:42
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:27) correct
32%
(01:29)
wrong
based on 284
sessions
History
Date
Time
Result
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How many cats, c, does Eleanor own?
(1) c^2 = 5c + 14
(2) 3c^2 = 22c - 7
(1) c^2 = 5c + 14
(2) 3c^2 = 22c - 7
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 192
Given Kudos: 59
Location: India
Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
08 Feb 2017, 02:56
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Bunuel
St I \(c^2 = 5c + 14\)
On solving the equation we have c = 7 or c =-2 Since #cats cant be negative, c has to be 7 --------Sufficient.
St II \(3c^2 = 22c - 7\)
On solving the equation we have c = 7 or c =1/3 Since #cats cant be fractional, c has to be 7 --------Sufficient.
Hence Option D is correct.
Hit Kudos if you liked it
08 Feb 2017, 14:51
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Statement 1
c^2 = 5c + 14
=> c^2 - 5c - 14 = 0
=> c^2 - 7c + 2c -14 =0
=> c (c-7) +2 (c-7) = 0
=> (c+2) (c-7) = 0
Therefore,C = 7, Statement 1 is sufficient
Statement 2
3c^2 = 22c - 7
=> 3c^2 - 22c + 7 = 0
=> 3c^2 - 21c - c + 7 = 0
=> 3c(c-7) -1(c-7)=0
=>(3c-1)(c-7)
Therefore, C=7. Statement 2 is sufficient.
Answer is D.
c^2 = 5c + 14
=> c^2 - 5c - 14 = 0
=> c^2 - 7c + 2c -14 =0
=> c (c-7) +2 (c-7) = 0
=> (c+2) (c-7) = 0
Therefore,C = 7, Statement 1 is sufficient
Statement 2
3c^2 = 22c - 7
=> 3c^2 - 22c + 7 = 0
=> 3c^2 - 21c - c + 7 = 0
=> 3c(c-7) -1(c-7)=0
=>(3c-1)(c-7)
Therefore, C=7. Statement 2 is sufficient.
Answer is D.
How many cats, c, does Eleanor own?
Number of cats is POSITIVE number.
(1) c^2 = 5c + 14
c^2- 5c - 14= 0........implies there are tow factors: one is positive and other is negative. Accept positive number only . No need to factor out.
Sufficient
(2) 3c^2 = 22c - 7
3c^2 -22c + 7= 0........implies there are two positive factors. Accept the only integer one. No need to factor out.
P.S.: the coefficient of C^2 is 3, so e know that one factor will be fraction.
Sufficient
Answer: D
Number of cats is POSITIVE number.
(1) c^2 = 5c + 14
c^2- 5c - 14= 0........implies there are tow factors: one is positive and other is negative. Accept positive number only . No need to factor out.
Sufficient
(2) 3c^2 = 22c - 7
3c^2 -22c + 7= 0........implies there are two positive factors. Accept the only integer one. No need to factor out.
P.S.: the coefficient of C^2 is 3, so e know that one factor will be fraction.
Sufficient
Answer: D
