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number properties

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number properties

by sashi.dr » Fri Dec 25, 2009 6:50 am
If (y+3)(y-1) - (y-2)(y-1) = r(y-1), what is the value of y?
(1) r2 = 25
(2) r = 5

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

DO ADD UR ANSWERS ONLY WITH EXPLAINATIONS.... DO NOT GIVE ONLY ANSWERS..
Last edited by sashi.dr on Fri Dec 25, 2009 9:16 am, edited 1 time in total.
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by rohan_vus » Fri Dec 25, 2009 6:59 am
The question reduces to (y-1)*5 = r *(y-1)--> (y-1)*(r-5) = 0


1) r2 = 25
r = 5 or - 5 , when r = 5 then Y could be any integer , it could be 1,2,3, etc..., if r = -5 then y = 1... but we dont know if r = -5 . So NOT SUFF
(2) r = 5
y can be 1 , 2 , 3.....anything when r = 5 so NOT SUFF

Combing both statements all u can get is r = 5.. BUt r = 5 , means y could be any thing..so NOT SUFF...
If r would have been -5 then y can have only one value ,i.e 1) , but this is not the case here

(E) should be the ans
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