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set 24 Q 34

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Master | Next Rank: 500 Posts
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by radhika1306 » Tue Sep 04, 2007 12:10 pm
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 left over.
(2) The books in the carton can be divided into Y stacks of 7 books each, with 2
books left over.
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Re: set 24 Q 34

by ri2007 » Tue Sep 04, 2007 1:03 pm
radhika1306 wrote: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 left over.
(2) The books in the carton can be divided into Y stacks of 7 books each, with 2
books left over.
I feel the answer should be E.

Eg. 1) you can have 23 books. This will satisfy both statement 1 & 2

As you can make 3 stacks of X books where X =7 and you will have 2 books left. You can also have 3 stacks of Y books where Y = 7 and have 2 books left.

Check the same with 42 or any multiple of ((3*7*X)+2) and it will also satisfy both the given statements.

Pls let me know if my answer is right.
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by radhika1306 » Thu Sep 06, 2007 6:45 am
Yes correct
Thanks
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