TheCATExam
Sign in

CAT 2002 — QA Question 13

Basics of Mensuration/PrismEasy

In order to cover less distance, a boy - rather than going along the longer and the shorter lengths of the rectangular path, goes by the diagonal. The boy finds that he saved a distance equal to half the longer side. The ratio of the breadth and length is

Answer & solution

Correct answer: 3/4

  • A

    1/2

  • B

    2/3

  • 3/4

  • D

    7/15

Solution

Let the breadth of the rectangular field be b and its length be l.

If he had moved along the edge, he would have moved through a distance = l + b = d + l/2

d = b + l/2

Substituting the options, only option 3 gives the values of l, b and d as 4, 3 and 5 which are Pythagorean triplets.

Hence, option (c).

Related Basics of Mensuration/Prism questions

See all Mensuration questions →
CAT 2002 QA Q13: In order to cover less distance, a boy - rather than going along the longer and the shorter lengths of the rec — Solution | TheCATExam