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ds on exam points

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ds on exam points [#permalink]

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New post 31 Jul 2008, 09:54
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. Steve took a math test that consists of basic questions and advanced questions. A correct answer to the basic question will gain 1 point and a correct answer to advanced question will gain 2 points. How many questions does the test consist of?
(1) Steve answered 80% of the basic question and 30% of the advanced questions correctly, and gained 88 points.
(2) There are twice as many advanced questions as the basic question.
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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Director
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Re: ds on exam points [#permalink]

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New post 31 Jul 2008, 10:06
arjtryarjtry wrote:
. Steve took a math test that consists of basic questions and advanced questions. A correct answer to the basic question will gain 1 point and a correct answer to advanced question will gain 2 points. How many questions does the test consist of?
(1) Steve answered 80% of the basic question and 30% of the advanced questions correctly, and gained 88 points.
(2) There are twice as many advanced questions as the basic question.
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


(A) Insuff
1*0.8x + 2*0.3y = 88

(B) Insuff
2x = y

(C) Suff
Two equations, two unknowns.

.8x + .6y = 88
2x = y
.8x + .6*2x = 88
2x = 88
x = 44
y = 88
x+y = 132

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SVP
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Re: ds on exam points [#permalink]

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New post 31 Jul 2008, 10:09
arjtryarjtry wrote:
. Steve took a math test that consists of basic questions and advanced questions. A correct answer to the basic question will gain 1 point and a correct answer to advanced question will gain 2 points. How many questions does the test consist of?
(1) Steve answered 80% of the basic question and 30% of the advanced questions correctly, and gained 88 points.
(2) There are twice as many advanced questions as the basic question.
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


Assume A = No. of advanced question
B = No of basic questions
A+B=????
1) Not sufficient
A (0.3) * 2 + B (0.8) *1 =88
0.6A+0.8B=88
2) B=2A
Not sufficient

Combined Sufficient

Answer C
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Re: ds on exam points [#permalink]

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New post 03 Aug 2008, 08:38
arjtryarjtry wrote:
. Steve took a math test that consists of basic questions and advanced questions. A correct answer to the basic question will gain 1 point and a correct answer to advanced question will gain 2 points. How many questions does the test consist of?
(1) Steve answered 80% of the basic question and 30% of the advanced questions correctly, and gained 88 points.
(2) There are twice as many advanced questions as the basic question.
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


say total questions=a+b =t
(1) we get (80/100)b+(2)(20/100)a=88 => not solvable for a or b or t
(2) a=2b => not solvable

(1) and (2) can solve for a,b and thus we can get t
IMO C
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Re: ds on exam points   [#permalink] 03 Aug 2008, 08:38
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