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23 May 2022, 11:44
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
66% (00:42) correct
34%
(00:44)
wrong
based on 143
sessions
History
Date
Time
Result
Not Attempted Yet
prithviraj99
Joined: 16 May 2022
Last visit: 07 Dec 2022
Posts: 44
Given Kudos: 69
Location: India
Concentration: Technology, Marketing
Schools: ISB '24 (A)
GMAT 1: 680 Q50 V31
GPA: 3.08
Updated on: 24 May 2022, 12:06
Originally posted by prithviraj99 on 23 May 2022, 12:39.
Last edited by prithviraj99 on 24 May 2022, 12:06, edited 1 time in total.
Last edited by prithviraj99 on 24 May 2022, 12:06, edited 1 time in total.
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Imo answer is B
1) 2x/3 is an integer means x = 1.5N where N =[...,-3,-2,-1,0,1,2,3...] set of integers
x can be integer and a fraction too. Ambiguous and hence insufficient
2) x-4 is an integer, hence x is also an integer with the same logic as above. SUFFICIENT
Posted from my mobile device
1) 2x/3 is an integer means x = 1.5N where N =[...,-3,-2,-1,0,1,2,3...] set of integers
x can be integer and a fraction too. Ambiguous and hence insufficient
2) x-4 is an integer, hence x is also an integer with the same logic as above. SUFFICIENT
Posted from my mobile device
24 May 2022, 12:02
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Step 1: Analyse Question Stem
We have to find if x is an integer.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: \(\frac{2x}{3}\) is an integer
\(\frac{2x }{ 3}\) = integer; let the integer be K.
Therefore, \(\frac{2x }{ 3}\) = K or x = \(\frac{3}{ 2}\) * K.
If K = 1, x = \(\frac{3 }{ 2}\); here x is not an integer.
If K = 2, x = 3; here x is an integer.
The data in statement 1 is insufficient to answer the question with a definite YES or NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: x - 4 is an integer
x – 4 = integer. Since 4 is an integer, x – integer = integer.
Re-organising the equation, x = integer + integer = integer.
The data in statement 2 is sufficient to answer the question with a definite YES.
Statement 2 alone is sufficient. Answer option C and E can be eliminated.
The correct answer option is B.
We have to find if x is an integer.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: \(\frac{2x}{3}\) is an integer
\(\frac{2x }{ 3}\) = integer; let the integer be K.
Therefore, \(\frac{2x }{ 3}\) = K or x = \(\frac{3}{ 2}\) * K.
If K = 1, x = \(\frac{3 }{ 2}\); here x is not an integer.
If K = 2, x = 3; here x is an integer.
The data in statement 1 is insufficient to answer the question with a definite YES or NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: x - 4 is an integer
x – 4 = integer. Since 4 is an integer, x – integer = integer.
Re-organising the equation, x = integer + integer = integer.
The data in statement 2 is sufficient to answer the question with a definite YES.
Statement 2 alone is sufficient. Answer option C and E can be eliminated.
The correct answer option is B.
