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CAT 2001 — QA Question 40

Basics of Mensuration/PrismEasy
Passage / Data

Answer the following question based on the information given below.

The batting average (BA) of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following manner:

r1 = number of runs scored in completed innings; n1 = number of completed innings

r2 = number of runs scored in incomplete innings; n2 = number of incomplete innings

BA = r1+r2n1

To better assess batsman's accomplishments, the ICC is considering two other measures MBA1 and MBA2 defined as follows:

MBA1 = r1n1+n2n1× max[0, (r2n2-r1n1])

MBA2 = r1+r2n1+n2

A rectangular pool 20 metres wide and 60 metres long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square metres, how wide, in metres, is the walkway?

Answer & solution

  • A

    43

  • B

    4.3

  • 3

  • D

    3.5

Solution

Suppose the width of the walkway is x metres.

∴ Area of walkway = 516 = (60 + 2x) × (20 + 2x) – 60 × 20

516 = 1200 + 120x + 40x + 4x2 – 1200

516 = 4x2 + 160x

x2 + 40x – 129 = 0

(x + 43)(x – 3) = 0

x = 3 or x = − 43

∵ Negative value of width is not possible.

∴ x = 3

Hence, option (c).

CAT 2001 QA Q40: A rectangular pool 20 metres wide and 60 metres long is surrounded by a walkway of uniform width. If the total — Solution | TheCATExam