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Previous Year Paper

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CAT-2002-Previous Years Paper

Question
38 out of 50
 

A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece.



A 27 cm
B 5 cm
C 4 cm
D 9 cm

Ans. C

Let the largest piece = 3x Middle = x

Shortest = 3x 23

or 3x + x + (3x 23) = 40

or x = 9

or the shortest piece = 3(9) 23 = 4

Check choices:

The shortest piece has to be < 20 cm.

27 is wrong choice.

The largest piece is a multiple of 3.

Or (23 + shortest) should be a multiple of

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