Previous Year Paper
CAT-2002-Previous Years Paper
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.
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
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