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If b is greater than 1, which of the following must be

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Manager
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If b is greater than 1, which of the following must be [#permalink] New post 20 Aug 2007, 21:03
If b is greater than 1, which of the following must be negative?

a) (2-b)(b-1)

b) (b-1)/3b

c) (1-b)^2

d) (2-b)/(1-b)

e) (1-b^2)/b
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Re: Which must be negative? [#permalink] New post 20 Aug 2007, 21:28
above720 wrote:
If b is greater than 1, which of the following must be negative?

a) (2-b)(b-1)

b) (b-1)/3b

c) (1-b)^2

d) (2-b)/(1-b)

e) (1-b^2)/b


by plugging in using POE, the answer is E
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Re: Which must be negative? [#permalink] New post 20 Aug 2007, 22:17
above720 wrote:
If b is greater than 1, which of the following must be negative?

a) (2-b)(b-1)

b) (b-1)/3b

c) (1-b)^2

d) (2-b)/(1-b)

e) (1-b^2)/b


Plug in numbers. Try using an integer 3 and then a non-integer 1.5

When using 3 for B. A holds, and E holds. Now using 1.5 only E holds.

Ans E
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 [#permalink] New post 20 Aug 2007, 23:47
Set b to 8

a) (-6)(7) -> +ve
b) (7)/24 -> +ve
c) (-7)^2 -> +ve
d) (-6)/(-7) -> +ve
e) (-63)/8 -> -ve

Ans E
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 [#permalink] New post 21 Aug 2007, 08:41
I am not sure on this. A and E seem to be negative for certain cases of b. Is there a typo in the question ?
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 [#permalink] New post 21 Aug 2007, 10:04
dahcrap wrote:
I am not sure on this. A and E seem to be negative for certain cases of b. Is there a typo in the question ?


A can be negative is some cases e.g. b=3 and positive in others e.g. b=1.5

E is negative in all cases and therefore the answer to the question of which must be negative.
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 [#permalink] New post 21 Aug 2007, 10:08
dahcrap wrote:
I am not sure on this. A and E seem to be negative for certain cases of b. Is there a typo in the question ?


dahcrap,

they are asking what must be negative - so A is a trick. E is always neg
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 [#permalink] New post 21 Aug 2007, 10:10
gmatiscoming wrote:
dahcrap wrote:
I am not sure on this. A and E seem to be negative for certain cases of b. Is there a typo in the question ?


dahcrap,

they are asking what must be negative - so A is a trick. E is always neg


Aah There u go. I tend to miss this trick more often than not.
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 [#permalink] New post 21 Aug 2007, 10:13
Checking for values.. The only equation that comes as negative for all values of b is E
  [#permalink] 21 Aug 2007, 10:13
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