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XAT 2021 — Decision Making Question 10

2 CirclesEasy
Passage / Data

Read the following scenario and answer the three questions that follow.
The following plot describes the height (in cm), weight (in kg), age (in years) and gender (F for female, M for male) of 20 patients visiting a hospital.

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A person’s body mass index (BMI) is calculated as weight (in kg) divided by squared height (measured in square metres). For example, a person weighing 100 kg and of height 100 cm (1m) will have a BMI of 100. A person with BMI less than or equal to 18.5 is considered as underweight, above 18.5 but less than or equal to 25 as normal weight, above 25 but less than or equal to 30 as overweight, and above 30 as obese.

Two circles P and Q, each of radius 2 cm, pass through each other’s centres. They intersect at points A and B. A circle R is drawn with diameter AB. What is the area of overlap (in square cm) between the circles R and P?

Answer & solution

  • A

    8π3-23

  • B

    8π3

  • C

    13π3-3

  • D

    17π6-23

  • 17π6-3

XAT 2021 Decision Making Q10: Two circles P and Q, each of radius 2 cm, pass through each other’s centres. They intersect at points A — Solution | TheCATExam