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-1 = ?

by bhumika.k.shah » Tue Mar 16, 2010 3:40 am
If a, b, c, and d are nonzero numbers and a - b = c - d, which of the following is equal to -1 ?
(A) (a - c)/(d - b)
(B) (a - d)/(b - c)
(C) (b - c)/(d - a)
(D) (b - d)/(a - c)
(E) (d - a)/(b - c)
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by sanju09 » Tue Mar 16, 2010 3:46 am
bhumika.k.shah wrote:If a, b, c, and d are nonzero numbers and a - b = c - d, which of the following is equal to -1 ?
(A) (a - c)/(d - b)
(B) (a - d)/(b - c)
(C) (b - c)/(d - a)
(D) (b - d)/(a - c)
(E) (d - a)/(b - c)
Few of all conclusions that we could draw from a - b = c - d are

a - c = - (d - b), oh! it alone worked

[spoiler]A[/spoiler]
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by [email protected] » Tue Mar 16, 2010 3:49 am
bhumika.k.shah wrote:If a, b, c, and d are nonzero numbers and a - b = c - d, which of the following is equal to -1 ?
(A) (a - c)/(d - b)
(B) (a - d)/(b - c)
(C) (b - c)/(d - a)
(D) (b - d)/(a - c)
(E) (d - a)/(b - c)
Substitute numbers.
3-1 = 4-2 (a-b = c-d)
a = 3, b=1, c=4, d=2

Only answer choice [spoiler](A)[/spoiler] gives the right answer. Substitute any other numbers and the answer will be the same.

Are there faster ways to do this ?
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by [email protected] » Tue Mar 16, 2010 3:55 am
Few of all conclusions that we could draw from a - b = c - d are

a - c = - (d - b), oh! it alone worked
Nice !!! Dint think that way.
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