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Determinants Questions

Practice 30 Determinants 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
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Practice by Exam:Mathematics(30)

About Determinants — practice questions, PYQs & concepts

Determinants is a frequently-tested topic on Mathematics. ExamTest.live currently lists 30 Determinants questions spanning previous-year papers from 2004 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.

Determinants weight in competitive exams

Across our Determinants question bank, the largest sources are Mathematics (30). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Determinants 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.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Determinants Questions(1–30 of 30)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
If , then
Q2mediummcqMathematicsMathematics Mock Test - 62026
9% accuracy
The value of a determinant is . The value of the determinant formed by its cofactors is:
Q3mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
If the system of linear equations , and has a non-zero solution, then:
Q4mediummcqMathematicsMathematics Mock Test - 102026
36% accuracy
If and if and are angles of a triangle, then is a solution to where . What are the values of ?
Q5mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
The system of equations , , and has no solution if equals:
Q6mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
The co-factor of the element '4' in the determinant
Q7mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If , satisfy

then
Q8mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If are the roots of the equation , then the value of the determinant is:
Q9mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
Find the value of for the following matrix:
Q10mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If is a positive integer, then is equal to:
Q11mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If the area of a triangle with vertices and is square units, then what is the value of ?
Q12mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Let where . Then the minimum value of is:
Q13mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If and , then is equal to:
Q14mediummcqMathematicsAIEEE 20072026
100% accuracy
Let . If , then equals:
Q15mediummcqMathematicsAIEEE 20072026
0% accuracy
If for , then is:
Q16mediummcqMathematicsMathematics Mock Test - 82026
The values of for which the given matrix will be non-singular are:
Q17mediummcqMathematicsMathematics Mock Test - 112026
The system of linear equations,, has a unique solution if:
Q18mediummcqMathematicsMathematics Mock Test - 112026
If , then equals:
Q19mediummcqMathematicsAIEEE2026
If and , then is a polynomial of degree:
Q20mediummcqMathematicsMathematics Mock Test - 82026
The minors of and and the co-factors of and in the determinant are respectively:
Q21mediummcqMathematicsMathematics Mock Test - 82026
If , then is equal to:
Q22mediummcqMathematicsMathematics Mock Test - 82026
If , then
Q23mediummcqMathematicsMathematics Mock Test - 32026
is a square matrix of order and . If all elements of are multiplied by , the determinant becomes . The value of is:
Q24mediummcqMathematicsAIEEE 20122026
Let and be matrices with . If and , then determinant of is equal to:
Q25mediummcqMathematicsAIEEE 20092026
Let be such that . If

then the value of ' ' is:
Q26mediummcqMathematicsAIEEE2026
Let be any real numbers. Suppose that there are real numbers not all zero such that , and . Then is equal to:
Q27mediummcqMathematicsAIEEE-CBSE-ENG-032026
If and vectors , and are non-coplanar, then the product equals:
Q28mediummcqMathematicsAIEEE2026
If are in G.P., then the determinant is equal to:
Q29mediummcqMathematicsAIEEE2026
Let and be distinct non-negative numbers. If the vectors , and lie in a plane, then is:
Q30mediummcqMathematicsAIEEE 20042004
0% accuracy
If are in G.P., then the value of the determinant

is

Frequently Asked Questions

How many Determinants questions are on ExamTest.live?▼
We have 30 Determinants questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Determinants MCQs free?▼
Yes. All Determinants questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Determinants questions?▼
Determinants questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Determinants 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.