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CAT 2002 — QA Question 10

3 Variable EquationsEasy

A string of length 40 metres is divided into three parts of different lengths. The first part is three times the second part, and the last part is 23 metres smaller than the first part. Find the length of the largest part.

Answer & solution

  • 27

  • B

    4

  • C

    5

  • D

    9

Solution

Let l, m and s be the longest, medium and the shortest lengths of the strings.

l = 3m and s = l – 23

l + s + m = 40

l+l3+ l - 23 = 40

7l3 = 63

 l = 27

Hence, option (a).

CAT 2002 QA Q10: A string of length 40 metres is divided into three parts of different lengths. The first part is three times t — Solution | TheCATExam