Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 16:17

### 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

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

# If X is a factor of 30, is X even?

Author Message
TAGS:

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2943
If X is a factor of 30, is X even?  [#permalink]

### Show Tags

Updated on: 13 Aug 2018, 02:17
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:52) correct 14% (00:47) wrong based on 157 sessions

### HideShow timer Statistics

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

Go to

Question 5 of the Marathon

_________________

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.
Retired Moderator
Joined: 25 Feb 2013
Posts: 1196
Location: India
GPA: 3.82
Re: If X is a factor of 30, is X even?  [#permalink]

### Show Tags

27 Feb 2018, 10:53
EgmatQuantExpert wrote:

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

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
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2943
Re: If X is a factor of 30, is X even?  [#permalink]

### Show Tags

27 Feb 2018, 23:37

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.
From the inference segment, both $$2$$ and $$3$$ are the factors of $$30$$.
As we do not know the exact value of $$X$$, we cannot determine its even-odd nature.
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 $$2$$.
Thus, we got a unique value of $$X$$, which is $$2$$ and we can say that $$X$$ is Even in nature.
By combining both statements we got a unique answer.
_________________
Re: If X is a factor of 30, is X even?   [#permalink] 27 Feb 2018, 23:37
Display posts from previous: Sort by