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Are x and y both positive? 1) 2x - 2y =1 2) x/y > 1 FP

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Are x and y both positive? 1) 2x - 2y =1 2) x/y > 1 FP [#permalink]  13 Aug 2007, 01:39
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Are x and y both positive?

1) 2x - 2y =1
2) x/y > 1

FP
Manager
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Another DS Problem

On a certain sight seeing tour, the ratio of number of women to number of children was 5 is to 2. What was the number of men on the sight seeing trip?

1) ratio of number of children to number of men was 5:11
2) number of women was less than 30

FP
Manager
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Third DS problem from GMAT PREP

If x is an integer. Is (x^2 + 1) ( x+5) an even number?
1) xis an odd number
2) Each prime factor of n^2 is greater than 7.

I got the idea that a is suff but couldnt quite figure out option 2)...

FP
VP
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Re: GMAT PREP DS Question [#permalink]  13 Aug 2007, 06:24
Finding Perdition wrote:
Are x and y both positive?

1) 2x - 2y =1
2) x/y > 1

FP

E.
as u can plug numbers and see it.

1) x=1 y=1/2 fine it is positive, but if x=1/2 and y=-(1/2) so 1. is not suff alone

2) x>y, it is the same as 1. so not sufficient alone

both as well.
VP
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Finding Perdition wrote:
Another DS Problem

On a certain sight seeing tour, the ratio of number of women to number of children was 5 is to 2. What was the number of men on the sight seeing trip?

1) ratio of number of children to number of men was 5:11
2) number of women was less than 30

FP

taken together suff not each statement alone

w/c=5/2
1) c/m=5/11 we need at least number of one of those factors. not suff.
2) w>30 alone not sufficient. can be any number.

combined: sufficient. the only number of women less than 30 is 25 which can be applied with provided ratios. w=25 c=10 m=22. u can put any other number less than 30 provided that it is multiple of 5. since in each of those ratios we have 5 in the numerator we need to stick that rule.
it is
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 74 [0], given: 0

Finding Perdition wrote:
Third DS problem from GMAT PREP

If x is an integer. Is (x^2 + 1) ( x+5) an even number?
1) xis an odd number
2) Each prime factor of n^2 is greater than 7.

I got the idea that a is suff but couldnt quite figure out option 2)...

FP

U said u got the first staement suff. it is actually suff.

2) n is at least 11. n^2=121 so it makes our equation even num. if solved
the next num n^2 can be product of 13 and 13 so it is even and makes our equation even if solved.
thus broduct of prime factors greater than 7 give us odd number

both statements taken alone sufficient
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Re: GMAT PREP DS Question [#permalink]  13 Aug 2007, 06:45
Finding Perdition wrote:
Are x and y both positive?

1) 2x - 2y =1
2) x/y > 1
FP

This this should be C.

Stmt 1: x-y=1/2
If x and y both positive, then |x| > |y|
If x and y both negative, then |y| > |x|
There are cases to consider when one is positive and the other is negative. Hence, insufficient.

Stmt 2: x and y both have same sign (both positive or both negative) and |x|>|y|. insufficient.

From both we have x and y are positive since |x|>|y|.
Senior Manager
Joined: 04 Jun 2007
Posts: 348
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Kudos [?]: 15 [0], given: 0

Finding Perdition wrote:
Third DS problem from GMAT PREP

If x is an integer. Is (x^2 + 1) ( x+5) an even number?
1) xis an odd number
2) Each prime factor of n^2 is greater than 7.

I got the idea that a is suff but couldnt quite figure out option 2)...

FP

Assuming that 'n^2' is a typo and should actually read 'x^2', both statements are by themselves sufficient.

Stmt 1: (x+5) is an even number. sufficient.
Stmt 2: x^2 does not have 2 as a factor, hence must be odd. So, (x^2+1) must be even. sufficient.
Manager
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dahcrap wrote:
I got C, C, D

CCD it is! Thanks Guys... explanation was quite helpful... gosh just needed a clear head!

the only thing i am now telling myself is "Be calm!"

FP
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