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31 Mar 2019, 21:44
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
40% (02:17) correct
60%
(02:35)
wrong
based on 20
sessions
History
Date
Time
Result
Not Attempted Yet
A majority of the 30 students in Ms. Demeanor's class bought pencils at the school bookstore. Each of these students bought the same number of pencils, and this number was greater than 1. The cost of a pencil in cents was greater than the number of pencils each student bought, and the total cost of all the pencils was 17.71. What was the cost of a pencil in cents?
A. 7
B. 11
C. 17
D. 23
E. 77
A. 7
B. 11
C. 17
D. 23
E. 77
eswarchethu135
GMAT 2: 640 Q49 V27
Posts: 276
31 Mar 2019, 22:24
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I don't think this is of GMAT standard question. Bunuel Can you please mention the source of this question?
--------------------------------------------------------------------------------------------------------------------------------------------------
Let the no. of students be = x
No. of pencils each student bought = y
Cost of each pencil = m cents
Now, \(x*y*m = 17.71\)
xym = \(\frac{1771}{100}\)
factorising 1771 = 7*11*23
Since x and y cannot be a decimal, m cents is the decimal form here.
There are 3 valid cases possible here:
Case 1)
No. of students be = 7
No. of pencils each student bought = 11
Cost of each pencil = 23 cents
Case 2)
No. of students be = 11
No. of pencils each student bought = 7
Cost of each pencil = 23 cents
Case 3)
No. of students be = 23
No. of pencils each student bought = 7
Cost of each pencil = 11 cents
Out of the 3 cases above, as the question stem said "majority of the students bought pencils" we can select case 3) as the most suitable option here.
So cost of each pencil is 11 cents.
OPTION: B
--------------------------------------------------------------------------------------------------------------------------------------------------
Let the no. of students be = x
No. of pencils each student bought = y
Cost of each pencil = m cents
Now, \(x*y*m = 17.71\)
xym = \(\frac{1771}{100}\)
factorising 1771 = 7*11*23
Since x and y cannot be a decimal, m cents is the decimal form here.
There are 3 valid cases possible here:
Case 1)
No. of students be = 7
No. of pencils each student bought = 11
Cost of each pencil = 23 cents
Case 2)
No. of students be = 11
No. of pencils each student bought = 7
Cost of each pencil = 23 cents
Case 3)
No. of students be = 23
No. of pencils each student bought = 7
Cost of each pencil = 11 cents
Out of the 3 cases above, as the question stem said "majority of the students bought pencils" we can select case 3) as the most suitable option here.
So cost of each pencil is 11 cents.
OPTION: B
Archit3110
Major Poster
01 Apr 2019, 09:58
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eswarchethu135
yes you are right , this does not seem to be GMAT based question, upon doing the google search it comes out to be a question taken from American mathematic competition
Bunuel any specific reason why you posting such tough and out of scope questions ? I have been following you for quite some time but have never come across so many questions mostly quant which do not seem gmat like but are more of competition or olympiad based.
yes you are right , this does not seem to be GMAT based question, upon doing the google search it comes out to be a question taken from American mathematic competition
Bunuel any specific reason why you posting such tough and out of scope questions ? I have been following you for quite some time but have never come across so many questions mostly quant which do not seem gmat like but are more of competition or olympiad based.
eswarchethu135
