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Updated on: 13 Aug 2018, 02:17
Originally posted by EgmatQuantExpert on 27 Feb 2018, 10:14.
Last edited by EgmatQuantExpert on 13 Aug 2018, 02:17, edited 2 times in total.
Last edited by EgmatQuantExpert on 13 Aug 2018, 02:17, edited 2 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (00:53) correct
13%
(00:50)
wrong
based on 322
sessions
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Not Attempted Yet
e-GMAT Question:
If X is a factor of 30, is X even?
1) X is a prime number less than 5
2) X is a factor of 10.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient
This is
Question 4 of The e-GMAT Number Properties Marathon
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27 Feb 2018, 10:53
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EgmatQuantExpert
Statement 1: \(x\) can be 2 or 3. Insufficient
Statement 2: \(x\) can be 2 or 5. Insufficient
Combining 1 & 2: \(x=2\). Sufficient
Option C
27 Feb 2018, 23:37
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Solution:
Step 1: Analyse Statement 1:
\(X\) is a prime number \(<5\)
- We know that there are only \(2\) prime numbers below \(5\).
- o They are\(2\) and \(3\) respectively.
Statement 1 alone is NOT sufficient to answer the question.
Hence, we can eliminate answer choices A and D.
Step 2: Analyse Statement 2:
\(X\) is a factor of \(10\).
- \(10\)can be written as \(2*5\).
- Let us write all the factors of \(10\).
- o Factors of \(10: 1,2,5,10\)
- Comparing this with the inference segment, we see all the \(4\) numbers: \(1, 2, 5\) and\(10\) are factors of \(30\) as well.
Since we do not know the exact value of \(X\), we cannot determine its even-odd nature.
Statement 2 alone is NOT sufficient to answer the question.
Hence, we can eliminate answer choice B.
Step 5: Combine both Statements:
- From the first statement we got: \(X\) can be either \(2\) or \(3\)
- From the second statement we got: \(X\) can be any one of \(1, 2, 5\) and \(10\).
- The only number which is common to both the lists obtained is \(2\).
By combining both statements we got a unique answer.
Correct Answer: Option C
