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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
24 Jul 2015, 00:44
1
00:00
A
B
C
D
E
Difficulty:
15% (low)
Question Stats:
76% (00:46) correct 24% (00:43) wrong based on 161 sessions
HideShow timer Statistics
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
24 Jul 2015, 03:11
1
1
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
Solution -
First of all, 1 is not a prime number.
From the given information, adding four distinct numbers gives even mean those all four numbers must be even or odd. Or sum of two even or two odd numbers equals to even.
In this case, all are prime numbers. So only even prime is 2, we may not get the sum of four primes equal to even.
We have to take all odd numbers in the set i.e., 3, 5, 7, 11 to make the sum even.
The smallest odd prime number in the list is 3. ANS C
_________________
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
24 Jul 2015, 03:33
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
All 4 prime numbers are DISTINCT and sum of 4 prime numbers is even ----> all are ODD. (as if we include 2, then the sum = 2+3+5+7 = odd and not even!)
thus the lowest odd prime number out of the given options is 3, C is the correct answer.
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
24 Jul 2015, 12:15
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
Q = p1+p2+p3+p4 = even (and all primes are distinct)
if the least prime is 2 then we have sum of Q = odd....hence 2 is not possible & 1 is not prime. next least prime is 3, this satisfies the given condition that sum of Q = even.
Ans. C. 3
_________________
Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time. - Thomas A. Edison
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
24 Jul 2015, 12:52
1
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
Option (C) 3
-Prime numbers are distinct - Sum of these 4 distinct prime numbers are even meaning ( odd+odd+odd+odd). Since all primes are odd except 2, meaning 2 cannot be in the set of these 4 prime numbers
Least prime number possible in this set ? Prime numbers are 2,3,5,7..... Since 2 cannot be in the set, the next least possible prime available will be 3
Hence Option C
_________________
I'm happy, if I make math for you slightly clearer And yes, I like kudos ¯\_(ツ)_/¯
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
25 Jul 2015, 13:27
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
Given: Four distinct prime numbers, with their sum is even. This means that all the digits are odd(i.e it does not contain 2, the only even prime number)
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
26 Jul 2015, 12:29
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
800score Official Solution:
We are told that Q is a set of four distinct prime numbers, and the sum of the numbers in Q is even. Since the question involves odds, evens and the smallest possible prime, you should immediately think of 2, the smallest prime number and the only even prime number.
If 2 were a member of the set, then we would have one even number and three odd numbers. Since such sum would always be odd, 2 cannot be a member of the set. Thus, all the members of Q must be odd to yield an even sum.
Since all the members of the set must be odd prime numbers, the answer is the smallest odd prime number, which is 3.
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
20 Nov 2016, 14:19
The critical thing to remember for this is that 1 is not a prime number.
The total of the number 2 and any other three distinct prime numbers would always be odd.
Therefore the least possible prime number to ensure an even total of four distinct prime numbers would be 3.
Answer is C.
_________________
Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?
Re: Let Q represent a set of four distinct prime numbers. If the sum of [#permalink]
Show Tags
31 Dec 2017, 08:47
Top Contributor
Bunuel wrote:
Let Q represent a set of four distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A. 1 B. 2 C. 3 D. 5 E. 7
Kudos for a correct solution.
We need to minimize the four distinct prime numbers.
We're told that the SUM of the four numbers is EVEN. This means ALL FOUR prime numbers must be odd
ASIDE: We know this because there is only one even prime number (2). Since the four numbers are distinct, there can be, AT MOST, one 2. However, if there were one 2 (and three other odd primes), the sum of the four numbers would be ODD). So, we can conclude that the number 2 is NOT in the set of values.
So, the SMALLEST set of values is: {3, 5, 7, 11}
The number x is a member of Q, then what is the least value that x can be? Answer: 3 (B)
RELATED VIDEO FROM OUR COURSE
_________________
Brent Hanneson – Founder of gmatprepnow.com
gmatclubot
Re: Let Q represent a set of four distinct prime numbers. If the sum of
[#permalink]
31 Dec 2017, 08:47