CAT 1991QA Question 29

Basics (Functions)Easy

Let Y = minimum of {(x + 2), (3 – x)}. What is the maximum value of Y for 0 ≤ x ≤ 1?

Answer & solution

Correct answer: 2.5

  • A

    1.0

  • B

    1.5

  • C

    3.1

  • 2.5

Solution

For Y to be maximum,

x + 2 = 3 - x

∴ x = 0.5

Maximum value of Y = x + 2 = 2.5

Hence, option (d).

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CAT 1991 QA Q29: Let Y = minimum of {(x + 2), (3 – x)}. What is the maximum value of Y for 0 ≤ x ≤ 1? — Solution | TheCATExam