Home Maths Inequations & Inequalities Statement Based Which of the following statements is/are tru…
Maths Inequations & Inequalities Statement Based Single Correct MCQ
Published on: August 14, 2026

Which of the following statements is/are true?

Statement-I : A company manufactures cassettes. Its cost and revenue functions are and , respectively, where is the number of cassettes produced and sold in a week, then 2000 cassettes must be sold by the company to realise some profit.
Statement-II : The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35 , then the range of pH value for the third reading that will result in the acidity level being normal lies between 7.77 and 8.5.

A
Only Statement-I
B
Only Statement-II
C
Both Statement-I and Statement-II
D
Neither Statement-I nor Statement-II

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Text Solution

Verified by Experts
The correct answer is:
D

Statement-I : Cost function, and revenue function,
For profit,

[Dividing by 10 on both sides]

Hence, company should sell more than 2500 cassettes to realise some profit.

Statement-II : We have given, first pH value

and second pH value

Let third pH value be .

Since, average pH values lies between 8.2 and 8.5

Hence, third pH value lies between 7.77 and 8.67

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