If x,y, and z are positive integers such that 0 < x < : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 21:57

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x,y, and z are positive integers such that 0 < x <

Author Message
Director
Joined: 18 Apr 2005
Posts: 548
Location: Canuckland
Followers: 1

Kudos [?]: 37 [0], given: 0

If x,y, and z are positive integers such that 0 < x < [#permalink]

### Show Tags

27 May 2005, 15:02
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:24) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x,y, and z are positive integers such that 0 < x < y < z and x is even, y is odd, and z is prime, which of the following is a possible value of x + y + z ?

A) 6
B) 11
C)19
D) 26
E) 29
Manager
Joined: 07 Mar 2005
Posts: 93
Followers: 1

Kudos [?]: 13 [0], given: 0

### Show Tags

27 May 2005, 17:36
2+5+19 =26

D.

Just started plugging away. Probably took me 2:30 - 3:00 min. Is there an easier way to do this?
Director
Joined: 18 Apr 2005
Posts: 548
Location: Canuckland
Followers: 1

Kudos [?]: 37 [0], given: 0

### Show Tags

27 May 2005, 17:45
tkirk32 wrote:
2+5+19 =26

D.

Just started plugging away. Probably took me 2:30 - 3:00 min. Is there an easier way to do this?

of course, with the right approach, it would take 30 sec, maybe less, including reading the question.
SVP
Joined: 05 Apr 2005
Posts: 1731
Followers: 5

Kudos [?]: 74 [0], given: 0

### Show Tags

27 May 2005, 17:56
sparky wrote:
If x,y, and z are positive integers such that 0 < x < y < z and x is even, y is odd, and z is prime, which of the following is a possible value of x + y + z ?

A) 6
B) 11
C)19
D) 26
E) 29

to minimize the time, use POE first. so eliminate B, C and E because x + y + z cannot be odd integer.

then, plug in. using plugging in, you can easily eliminate A because 6 is smaller than the required integer. so D (26) is the only possible integer.
Manager
Joined: 07 Mar 2005
Posts: 93
Followers: 1

Kudos [?]: 13 [0], given: 0

### Show Tags

27 May 2005, 18:06
see, I am just not good enough to see that 2 odds plus an even must be even.

I know the concept, just cant seem to apply it when I need to.
Director
Joined: 18 Feb 2005
Posts: 673
Followers: 1

Kudos [?]: 6 [0], given: 0

### Show Tags

27 May 2005, 19:10
let the

even number x =2*k
odd number = 2*k+1

prime number is odd always uneless it is 2.

add them 4*k + 1 + odd number(prime number) = some even number

x has to be atleast 2 ......answer is 26
Senior Manager
Joined: 15 Mar 2005
Posts: 419
Location: Phoenix
Followers: 2

Kudos [?]: 26 [0], given: 0

### Show Tags

28 May 2005, 02:35
sparky wrote:
If x,y, and z are positive integers such that 0 < x < y < z and x is even, y is odd, and z is prime, which of the following is a possible value of x + y + z ?

A) 6
B) 11
C)19
D) 26
E) 29

Sorry guys, saw this thread late, but thought would chip in with my thoughts. My 2 cents on this one -

Min x = 2. Min y = 3. Min z = 2. Thus x + y + z >= 7. Thus A is ruled out.

You can start a process of elimination by considering the primes. Basic requirement is this:

Subtract a prime from the given option, and your answer should be odd.
If this hits, then the prime should be greatest of the three numbers.

Since odd number - prime would always be even (unless the prime is 2, which is smallest number, so inadmissible) - since all other primes are odd, no odd number can be the answer.

Thus 26.

Btw Sparky, POE is Process of Elimination (unless I am grossly mistaken )
_________________

Who says elephants can't dance?

Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 282 [0], given: 2

### Show Tags

28 May 2005, 10:01
D it is...
sorry late on the board...

someone told me on GMAT whenever you have which of following type question start with the answer choice E and start plugging in numbers....

I did that, took about 1 min to figure D it is...
Senior Manager
Joined: 21 Mar 2004
Posts: 444
Location: Cary,NC
Followers: 3

Kudos [?]: 68 [0], given: 0

### Show Tags

29 May 2005, 09:31
took me 2-3 mins but it cleared quite a few concepts.

I think plugging in numbers might be quick if you get it quickly but it is possible that it might take time too.

x,y are odd and even.

x + y is odd.
z is prime and not =2. z is odd.

( All prime numbers are odd except 2. Here x,y are smaller than z so z cannot be 2)

Now we know that ODD + ODD = EVEN

The only even answers are 6 and 26.

6 can be easily verified as not sufficient.

Ans is 26.

HTH
_________________

ash
________________________
I'm crossing the bridge.........

Senior Manager
Joined: 14 Apr 2005
Posts: 417
Location: India, Chennai
Followers: 2

Kudos [?]: 16 [0], given: 0

### Show Tags

02 Jun 2005, 02:21
I saw this question very late. However here is my approach and answer.

0 < x < y < z

X is even, Y is odd and Z is prime. 2 is the only even prime number, and z cannot be equal to 2, and so z should be an odd prime number.

even + odd + odd = even

From the answer choices there are only 2 choices 6 and 26 that are even. If x = 2 then the answer choice cannot be 6, hence 26 is the only option.

Thanks
Sreeni
02 Jun 2005, 02:21
Display posts from previous: Sort by