HOTS Questions for Class 11 Mathematics. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
Practice set
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Sets”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Sets. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Roster and set-builder”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: Roster and set-builder. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Subset, power set”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: Subset, power set. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Union, intersection, complement”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: Union, intersection, complement. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “De Morgan”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: De Morgan. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Finite vs infinite”, what mistake could they make while solving a question from Sets?
Answer
They would use the wrong term or the reverse relation. Remember: Finite vs infinite. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A×B”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: A×B. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Reflexive, symmetric, transitive”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Reflexive, symmetric, transitive. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Function: unique image”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Function: unique image. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Domain, range, codomain”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Domain, range, codomain. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “One-one, onto”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: One-one, onto. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Trigonometric Functions”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Trigonometric Functions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “2π radian = 360°”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: 2π radian = 360°. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “sin²x+cos²x=1”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: sin²x+cos²x=1. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “General solution ideas as in chapter”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: General solution ideas as in chapter. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Signs in four quadrants”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Signs in four quadrants. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Graphs of sin, cos, tan”, what mistake could they make while solving a question from Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Graphs of sin, cos, tan. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Complex Numbers and Quadratic Equations”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Complex Numbers and Quadratic Equations. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “i²=−1”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: i²=−1. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “|z|=√(a²+b²)”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: |z|=√(a²+b²). Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Conjugate”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Conjugate. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Argand plane”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Argand plane. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Square root of a complex number as taught”, what mistake could they make while solving a question from Complex Numbers and Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Square root of a complex number as taught. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Linear Inequalities”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Linear Inequalities. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Inequality direction reverses on multiplying by a negative”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: Inequality direction reverses on multiplying by a negative. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Graphical solution in plane”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: Graphical solution in plane. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “System of inequalities”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: System of inequalities. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Interval notation”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: Interval notation. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Closed vs open”, what mistake could they make while solving a question from Linear Inequalities?
Answer
They would use the wrong term or the reverse relation. Remember: Closed vs open. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Permutations and Combinations”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Permutations and Combinations. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Fundamental principle of counting”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: Fundamental principle of counting. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “nPr = n!/(n−r)!”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: nPr = n!/(n−r)!. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “nCr = n! / [r!(n−r)!]”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: nCr = n! / [r!(n−r)!]. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “nCr = nC(n−r)”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: nCr = nC(n−r). Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Word problems: digits, committees”, what mistake could they make while solving a question from Permutations and Combinations?
Answer
They would use the wrong term or the reverse relation. Remember: Word problems: digits, committees. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Binomial Theorem”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Binomial Theorem. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “(a+b)^n expansion”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: (a+b)^n expansion. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “General term Tr+1 = nCr a^{n−r} b^r”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: General term Tr+1 = nCr a^{n−r} b^r. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Middle term”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: Middle term. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Pascal”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: Pascal. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Applications”, what mistake could they make while solving a question from Binomial Theorem?
Answer
They would use the wrong term or the reverse relation. Remember: Applications. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Sequences and Series”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Sequences and Series. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “AP, GP nth term and sum”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: AP, GP nth term and sum. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “AM ≥ GM for positives”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: AM ≥ GM for positives. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Σn, Σn², Σn³”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: Σn, Σn², Σn³. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Infinite GP |r|<1”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: Infinite GP |r|<1. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Word problems”, what mistake could they make while solving a question from Sequences and Series?
Answer
They would use the wrong term or the reverse relation. Remember: Word problems. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-11/, then subject and chapter slugs.
Why is this a separate URL?
So students searching for “HOTS Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Today's 3-step path
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
