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08 Nov 2008, 18:21
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A total of 100 customers purchased books at a certain bookstore last week. If these customers purchased a total of 200 books, how many of the customers purchased only 1 book each?
(1) None of the customers purchased more than 3 books.
(2) 20 of the customers purchased only 2 books each.
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.
Answer:
(1) None of the customers purchased more than 3 books.
(2) 20 of the customers purchased only 2 books each.
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.
Answer:
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08 Nov 2008, 18:34
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Jcpenny
the answer is (C)
let us assume that C1 = consumners who purchased 1 Book
similarly C2= consumners who purchased 2 Books
C3 , C3 , ........
from the equation
1*C1 + 2*C2 + 3*C3 + ........= 200 ---------(1)
C1 + C2 + C3 + C4 + ...........=100 ----------(2)
Now let us test (I)
if no consumer purchased more than 3 books then our equations (1) and (2) will be
1*C1 + 2*C2 + 3*C3 = 200 ---------(1)
C1 + C2 + C3 = 100 ----------(2)
3 unknowens with 2 equation
---Insufficient
test (II)
we will get another equation which is
C2 = 20
however we have unlimited variables C1, C2, C3, C4 .......
test (I) and (II) together
we will have 3 equation and 3 unknowens
1*C1 + 2*C2 + 3*C3 = 200 ---------(1)
C1 + C2 + C3 = 100 ----------(2)
C2 = 20-----------------(3)
which is sufficient
so solution is (c)
08 Nov 2008, 18:41
Kudos
Bookmarks
Agree did the same
x+y+z = 100
(1) says 3x+ 2y + z =200
2 eq's 3 unknowns ,Insuff
(2) says 2y=40
x+z 80 Insuff
Together, 3 unknowns, 3 eqs can find x.
x+y+z = 100
(1) says 3x+ 2y + z =200
2 eq's 3 unknowns ,Insuff
(2) says 2y=40
x+z 80 Insuff
Together, 3 unknowns, 3 eqs can find x.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
