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17 Apr 2010, 01:52
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:05) correct
32%
(02:07)
wrong
based on 200
sessions
History
Date
Time
Result
Not Attempted Yet
A certain carton holds fewer than 50 books. What is the number of books in the carton?
(1) The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over.
(2) The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
(1) The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over.
(2) The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
17 Apr 2010, 05:16
Kudos
Bookmarks
nilesh376
A certain carton holds fewer than 50 books. What is the number of books in the carton?
1. The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over.
2. The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
Please provide ur answer with explanation??
1. The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over.
2. The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
Please provide ur answer with explanation??
(1) Basically statement tells that the number of books divided by 3 gives remainder of 2 --> \(n=3x+2<50\) --> multiple values of \(n\) are possible. Not sufficient.
(2) Basically statement tells that the number of books divided by 7 gives remainder of 2 --> \(n=7y+2<50\) --> multiple values of \(n\) are possible. Not sufficient.
(1)+(2) \(n=21k+2<50\) --> \(k=1\), \(n=23<50\) or \(k=2\), \(n=44<50\). Not sufficient.
Answer: E.
General Discussion
17 Apr 2010, 02:21
Kudos
Bookmarks
IMO C.
Total books < 50.
1. The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over. [Insuff]
If the no. of books = 5 and per stack 1 book
If the no. of books = 8 and per stack 2 book, and so on.
2. The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
Let Y = 2 the total books = 16
Let Y = 3 the total books = 23. [Insuff]
On combining 1) and 2):
3 stacks each with 7 books
So total books can be 23.
Total books < 50.
1. The books in the carton can be divided into 3 stacks of X books each, with 2 books lefts over. [Insuff]
If the no. of books = 5 and per stack 1 book
If the no. of books = 8 and per stack 2 book, and so on.
2. The books in the carton can be divided into Y stacks of 7 books each , with 2 books left over.
Let Y = 2 the total books = 16
Let Y = 3 the total books = 23. [Insuff]
On combining 1) and 2):
3 stacks each with 7 books
So total books can be 23.
