GMAT Club Forum
https://gmatclub.com:443/forum/

If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33
https://gmatclub.com/forum/if-x-and-y-are-prime-numbers-is-x-y-3-odd-1-x-3-2-y-282863.html
Page 1 of 1

Author:  Bunuel [ 29 Nov 2018, 01:26 ]
Post subject:  If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


M36-125

Author:  Bunuel [ 16 Nov 2021, 03:42 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


M36-125


Official Solution:


If \(x\) and \(y\) are prime numbers, is \(x(y + 3)\) odd?

(1) \(x < 3\)

Since \(x\) is prime, then \(x=2\) and thus \(x(y + 3)=even*integer=even\). Sufficient.

(2) \(y > 33\)

Since \(y\) is prime, then \(y=odd\) and thus \(x(y + 3)=integer*even=even\). Sufficient.


Answer: D

Author:  DavidTutorexamPAL [ 29 Nov 2018, 01:30 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


For x(y+3) to be odd, both x and y+3 must be odd.
Then y must be even, and since y is prime only y = 2 works.
Then the question asks 'does y = 2 and does x not equal 2'?
We'll look for statements which provide this information, a Logical approach.

(1) tells us that x =2, so the answer is NO.
Sufficient.

(2) tells us that y is not equal to 2 so NO.
Sufficient.

(D) is our answer.

Author:  Archit3110 [ 29 Nov 2018, 03:00 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33



For X(y+3) to be odd both x & y+3 have to be odd

1 given x & y are prime numbers and x<3 so only possible value of x would be 2 so the expression x( y+3) will be even always

sufficient

from 2 y>33
here y would always be odd i.e 37,41 .. and y +3 would always be even so even so sufficient ..

IMO D should be correct..

Author:  Archit3110 [ 29 Nov 2018, 03:02 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

DavidTutorexamPAL wrote:
Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


For x(y+3) to be odd, both x and y+3 must be odd.
Then y must be even, and since y is prime only y = 2 works.
Then the question asks 'does y = 2'?
We'll look for statements which provide this information, a Logical approach.

(1) does not provide this information
Insufficient.

(2) tell us the answer is NO.
Sufficient.

(B) is our answer.


DavidTutorexamPAL
from 1 wont x be 2 as given in the statement is that both x & y are prime no. wont this make it sufficient...

Author:  dollytaneja51 [ 29 Nov 2018, 03:11 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Statement 1: x<3
Which means x= 2 therefore, 2(y+3) is even
Sufficient
Statement 2: y>33
y can be 37, 41, 43 .... which means x(even) = even
Sufficient

D is the answer

Posted from my mobile device

Author:  DavidTutorexamPAL [ 29 Nov 2018, 03:41 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Archit3110 wrote:
DavidTutorexamPAL wrote:
Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


For x(y+3) to be odd, both x and y+3 must be odd.
Then y must be even, and since y is prime only y = 2 works.
Then the question asks 'does y = 2'?
We'll look for statements which provide this information, a Logical approach.

(1) does not provide this information
Insufficient.

(2) tell us the answer is NO.
Sufficient.

(B) is our answer.


DavidTutorexamPAL
from 1 wont x be 2 as given in the statement is that both x & y are prime no. wont this make it sufficient...


you're right!
my bad, fixed.
Thanks!

Author:  KSBGC [ 29 Nov 2018, 05:19 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


x and y are primes.

Statement 1:

x<3. x=2. So the product will be even. Sufficient.

Statement 2;

y>33. only even prime is 2. all other primes are odd. 37 + 3 = 40 ( SUPPOSED). Now we don't have to know the value of x. even * odd/even = even. Sufficient.

The best answer is D.

Author:  kylebecker9 [ 29 Nov 2018, 08:25 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33



By definition, prime numbers are greater than 1 with only 2 divisors. The question is whether both x and y+3 are odd or not.

S1: x = 2 Sufficient to say that both x and y+3 are NOT odd
S2: y+3 will be even. Sufficient to say that both x and y+3 are NOT odd

Answer D

Author:  Bunuel [ 24 Dec 2018, 00:35 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


Author:  Kinshook [ 08 Oct 2019, 08:44 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


Asked: If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
x = 2
x(y+3) = even
SUFFICIENT

(2) y > 33
y is odd; y+3 = even
x(y+3) = even
SUFFICIENT

IMO D

Author:  exc4libur [ 18 Oct 2019, 09:50 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Bunuel wrote:
If x and y are prime numbers, is x(y + 3) odd?

(1) x < 3
(2) y > 33


x,y=e,o;e,e;o,o=ie.2,3;2,2;3,3

(1) x < 3: 0<x<3… x=2… even(y+3)=even, sufic.

(2) y > 33: y≠even=odd… x(odd+3)=x(even)=even, sufic.

Answer (D)

Author:  bumpbot [ 24 Nov 2022, 02:12 ]
Post subject:  Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Page 1 of 1 All times are UTC - 8 hours
Powered by phpBB © phpBB Group
http://www.phpbb.com/