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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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Updated on: 29 Nov 2018, 04:42
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.
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33
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29 Nov 2018, 04:02
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...
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33
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29 Nov 2018, 04:11
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
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33
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29 Nov 2018, 04:41
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!
_________________
Re: If x and y are prime numbers, is x(y + 3) odd? (1) x < 3 (2) y > 33
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29 Nov 2018, 06:19
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.
close
55% (01:13) correct 
