If x and y are prime numbers, is x(y + 3) odd? (1) x 33

Question

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

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

M36-125

Bunuel · Accepted Answer

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

DavidTutorexamPAL · Answer

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.

Archit3110 · Answer

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..

Archit3110 · 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...

dollytaneja51 · Answer

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

DavidTutorexamPAL · Answer

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

KSBGC · Answer

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.

kylebecker9 · Answer

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

Bunuel · Answer

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

Kinshook · Answer

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

exc4libur · Answer

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)

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If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33

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