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Maxima And Minima Questions

Practice 30 Maxima And Minima questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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30
Total Questions
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Easy
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30
Medium
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Hard
Practice by Exam:Mathematics(25)Quantitative Aptitude(4)Mathematics and Science(1)

About Maxima and Minima — practice questions, PYQs & concepts

Maxima and Minima is a frequently-tested topic on Mathematics, Quantitative Aptitude, Mathematics and Science. ExamTest.live currently lists 30 Maxima and Minima questions spanning previous-year papers from 2018 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Maxima and Minima weight in competitive exams

Across our Maxima and Minima question bank, the largest sources are Mathematics (25), Quantitative Aptitude (4) and Mathematics and Science (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Maxima and Minima questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
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  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Maxima And Minima Questions(1–30 of 30)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
11% accuracy
The sum of two numbers is fixed. Their product is maximum when:
Q2mediummcqMathematicsMathematics Mock Test - 102026
25% accuracy
The maximum value of the function is:
Q3mediummcqMathematicsMathematics Mock Test - 102026
17% accuracy
The maximum value of in the interval occurs at :
Q4mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
Let defined for . Which of the following is correct?
Q5mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The local maximum value of is:
Q6mediummcqMathematicsMathematics Mock Test - 102026
8% accuracy
For the function , has:
Q7mediummcqQuantitative AptitudeSSC CGL2026
25% accuracy
The least value of cosθsinθ is:
Q8mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
The function has:
Q9mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
The function , attains minimum value at:
Q10mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Let . Then which of the following is correct?
Q11mediummcqMathematicsAIEEE 20072026
0% accuracy
If and are positive real numbers such that , then the maximum value of is:
Q12mediummcqMathematicsAIEEE 20062026
0% accuracy
The function has a local minimum at:
Q13mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Extract all possible values of for which the function has local maxima at :
Q14mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
The maximum slope of the curve occurs at the point:
Q15mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
For a certain curve satisfying , has a local minimum value when . The global maximum value of if , is:
Q16mediummcqQuantitative AptitudeWBCS Mains2026
The greatest and the least value of () are and respectively. Find the values of and .
Q17mediummcqQuantitative AptitudeCompetitive Exams2026
Find the minimum value of .
Q18mediummcqMathematicsAIEEE2026
Area of the greatest rectangle that can be inscribed in the ellipse is:
Q19mediummcqQuantitative AptitudeCompetitive Examination2026
Find the minimum value of .
Q20mediummcqMathematicsMathematics Mock Test - 82026
The minimum value of is:
Q21mediummcqMathematicsMathematics Mock Test - 32026
If is a real number, the function has:
Q22mediummcqMathematicsMathematics Mock Test - 32026
The number that exceeds its square by the greatest amount is:
Q23mediummcqMathematicsMathematics Mock Test - 32026
The function has relative minima where:
Q24mediummcqMathematicsAIEEE 20122026
Let be such that the function given by has extreme values at and .Statement 1: has local maximum at and at .Statement 2: and .
Q25mediummcqMathematicsAIEEE2026
Let be defined by . If has a local minimum at , then a possible value of is:
Q26mediummcqMathematicsAIEEE 20092026
Given such that is the only real root of . If , then in the interval :
Q27mediummcqMathematicsAIEEE2026
Suppose the cube has three distinct real roots where and . Then which one of the following holds?
Q28mediummcqMathematicsAIEEE-CBSE-ENG-032026
The real number when added to its inverse gives the minimum value of the sum at equal to:
Q29mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the function , where , attains its maximum and minimum at and respectively such that , then equals:
Q30mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
The minimum value of is

Frequently Asked Questions

How many Maxima And Minima questions are on ExamTest.live?▼
We have 30 Maxima And Minima questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Maxima And Minima MCQs free?▼
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Which exams include Maxima And Minima questions?▼
Maxima And Minima questions are commonly asked in Mathematics, Quantitative Aptitude, Mathematics and Science. You can filter by exam using the links above.
How do I practice Maxima And Minima questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.