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value of y

by daretodream » Thu Feb 18, 2010 11:28 pm
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.
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Source: — Data Sufficiency |
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by ajith » Thu Feb 18, 2010 11:37 pm
daretodream wrote: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.
(y-1) (y+3 - y+2) = r (y-1)
y-1*5 =r (y-1)

r = 5

1.) is insufficient to find the value of y since it provides no further information. Equation is satisfied for all the values of y
2) is insufficient to find the value of y since it provides no further information. Equation is satisfied for all the values of y

Together also is insufficient
E
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by thephoenix » Fri Feb 19, 2010 1:54 am
daretodream wrote: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.
IMO E

rephrasing the eqn r(y-1)=y-1--->r=5
y can be anything

hence E
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by shashank.ism » Sun Feb 21, 2010 8:11 am
daretodream wrote: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.
(y+3)(y-1) - (y-2)(y-1) = r(y-1) --> [(y+3) - (y-2)- r ](y-1)=0 --> (5-r)(y-1)=0 so either y=1 or r=5
St.1) r^2 = 25 --> r=+/- 5 so if r=5, y=/=1 , if r=-5,y=1------------------insufficient.
St.2) r=5 so y=/=1 ----------------insufficient
combined ----------------insufficient
Ans E
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