Bunuel
How many rectangular cereal boxes can be shipped in a certain cardboard carton?
(1) Each cereal box has a volume of 120 cubic centimetres.
(2) The cardboard carton has a volume of 2400 cubic centimetres.
This question discreetly lays out a C-trap when rushing through the question under time constraints.
Solution:
Nothing to further simplify in the question statement; the question simply asks how many rectangular smaller boxes fit inside a bigger carton.
St 1: We can gather information only about the volume of cereal boxes, but no information about the dimensions of the cereal boxes or the carton boxes.
Also, note that the cereal boxes could have dimensions of 6x2x10cm or 4x3x10cm, both of which will have a volume equal to 120cc. Insufficient - A & D are out
St 2: We can gather information only about the volume of carton boxes, but no information about the dimensions of the cereal boxes or the carton boxes.
Also, note that the carton boxes could have dimensions of 10x4x60cm or 40x60x1cm, both of which will have a volume equal to 2400cc. Insufficient - B is out
Combining the statements: We can determine that the Carton box is 20 times bigger in volume than the Cereal Box. But this does not mean that we can fit 20 Cereal boxes all the time.
Case 1: Let us consider the dimensions of the cereal box as 4x3x10cm and the dimension of the carton box as 40x6x10cm(normal case)
Firstly, the cereal box can fit inside the carton box
[4 x 3 x 10] x number of boxes = [40 x 6 x 10]
Number of cereal boxes inside the carton box = 20
Case 2: Let us consider the dimensions of the cereal box as 4x3x10cm and the dimension of the carton box as 40x60x
1cm (extreme case)
We can not get a 3cm wide cereal box to fit inside a 1cm wide carton box
Number of cereal boxes inside the carton box = 0
Insufficient
Ans. E