For integers x and y , x=y/6 +1 => y =6x-1 (if x=even, y=odd and x=odd, y =odd). Is xy even?
(1) y+1/5 =x
=> y=5x-1, if x=even, y=odd and x=odd, y =even. from the condition y =6x-1 we already have x=even, y=odd, so we know that x is even and y is odd !
(2) y/x is not odd => y/x = even => y =even*x => y =even => xy=even as y is even
Note: 0 is an even number
Answer:D.
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For integers x and y , x=y/6 +1 . Is xy even?
Source: Beat The GMAT — Data Sufficiency |
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Is your question correct...it has to be B only.. because for integer X and Y the two equations wont satisfy
x= y/6+1 and x = y+1/5
Your question stands for assumption: x = (y+1)/5 and fails for x = y+ 1/5
x= y/6+1 and x = y+1/5
Your question stands for assumption: x = (y+1)/5 and fails for x = y+ 1/5
lenagmat wrote:For integers x and y , x=y/6 +1 . Is xy even?
(1) y+1/5 =x
(2) y/x is not odd
D.
First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.
Second take: coming soon..
Regards,
HSPA.
I am not so sure about choice D. IMO A
if y and x are integers, if they say y/x is not odd, it doesn't mean that y/x is even, it can be decimal as well(say x = 2, y =1 => y/x = 0.5 not an odd number).
user123321
if y and x are integers, if they say y/x is not odd, it doesn't mean that y/x is even, it can be decimal as well(say x = 2, y =1 => y/x = 0.5 not an odd number).
user123321
Just started my preparation 
Want to do it right the first time.
Want to do it right the first time.
Awesome.. I agree for A ( my assumption included) But my math knowledge says odd and even are only for integers, user123321 have found one more assumption... if not odd then even ( only binary)..y/x shall not have a fraction is implicit assumption.
user123321 wrote:I am not so sure about choice D. IMO A
if y and x are integers, if they say y/x is not odd, it doesn't mean that y/x is even, it can be decimal as well(say x = 2, y =1 => y/x = 0.5 not an odd number).
user123321
First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.
Second take: coming soon..
Regards,
HSPA.
