lheiannie07 wrote:A certain packing box contains books between 50 to 60. How many books exactly does that box contains?
(1) If the books are counted by three, there will be one book left over.
(2) If the books are counted by six, there will be one book left over.
Statement 1:
In other words, the total number of books is ONE MORE THAN A MULTIPLE OF 3.
Multiples of 3 between 50 and 60, inclusive:
51, 54, 57, 60.
Adding 1 to each of these options, we get:
52, 55, 58,
61.
Since the option in red is not between 50 and 60, the total number of books could be 52, 55, or 58.
INSUFFICIENT.
Statement 2:
In other words, the total number of books is ONE MORE THAN A MULTIPLE OF 6.
Multiples of 6 between 50 and 60, inclusive:
54, 60.
If we add 1 to each of these options, we get:
55,
61.
Since the option in red is not between 50 and 60, the total number of books = 55.
SUFFICIENT.
The correct answer is
B.
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