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Math Expert V
Joined: 02 Sep 2009
Posts: 58438
If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 55% (01:11) correct 45% (01:07) wrong based on 128 sessions

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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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examPAL Representative P
Joined: 07 Dec 2017
Posts: 1153
If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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.
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Originally posted by DavidTutorexamPAL on 29 Nov 2018, 02:30.
Last edited by DavidTutorexamPAL on 29 Nov 2018, 04:42, edited 3 times in total.
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Joined: 18 Aug 2017
Posts: 5038
Location: India
Concentration: Sustainability, Marketing
GPA: 4
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Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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..
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5038
Location: India
Concentration: Sustainability, Marketing
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Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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...
Manager  B
Joined: 26 Feb 2017
Posts: 85
Location: India
GPA: 3.99
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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
examPAL Representative P
Joined: 07 Dec 2017
Posts: 1153
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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!
Thanks!
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Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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.
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Joined: 05 Oct 2018
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GMAT 1: 770 Q49 V47 GPA: 3.95
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Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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

Math Expert V
Joined: 02 Sep 2009
Posts: 58438
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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

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

_________________
SVP  P
Joined: 03 Jun 2019
Posts: 1746
Location: India
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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
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Director  P
Joined: 24 Nov 2016
Posts: 636
Location: United States
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33  [#permalink]

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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. Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33   [#permalink] 18 Oct 2019, 10:50
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