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02 Oct 2017, 01:09
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D
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Difficulty:
25%
(medium)
Question Stats:
71% (01:27) correct
29%
(01:33)
wrong
based on 79
sessions
History
Date
Time
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What is the maximum number of rectangular cards, each 6 centimeters by 16 centimeters that can be made from 10 rectangular pieces of cardboard, each 54 centimeters by 48 centimeters?
(A) 27
(B) 72
(C) 240
(D) 270
(E) 360
(A) 27
(B) 72
(C) 240
(D) 270
(E) 360
02 Oct 2017, 04:31
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If the rectangular pieces of cardboard are placed next to each other, the total length will be 540 cm.
However the breadth remains the same - 48 cm
Therefore, the maximum number of cards possible are \(\frac{540*48}{16*6} = 90*3 = 270\)(Option D)
However the breadth remains the same - 48 cm
Therefore, the maximum number of cards possible are \(\frac{540*48}{16*6} = 90*3 = 270\)(Option D)
02 Oct 2017, 06:44
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Bunuel
First we need to check that if we cut smaller cards from the cardboard, are we able to consume the cardboard in complete, or some portion is left after cutting.
So 48/16 is completely divisible and 54/6 is completely divisible, which means if we cut 16 cm length along 48 cm breadth of the cardboard and 6 cm breadth of card along 54 cm length of cardboard, we will be able to consume the cardboard in totality.
So, From 1 cardboard the no. of cards that can be made = 54*48/(6*16) = 9* 3 = 27
So, from 10 such cardboard, total cards that will be formed = 27*10 = 270..
Note : Which solving question quickly, don't forget there are 10 cardboards, otherwise you will do mistake even after solving the question... it happens with everyone .. silly mistakes..
