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10.Algebra – Practice MCQs
Class 11 • Mathematics • NCERT
Algebra – Practice MCQs (50 Questions)
[ Embed Algebra MCQ Discussion Video Here ]
This MCQ set provides comprehensive practice from NCERT Class 11 Algebra chapters. Questions are designed to build accuracy, confidence, and exam readiness.
Instructions
- All questions are strictly NCERT-based.
- Choose the correct option.
- Answer key is provided at the end.
MCQs
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- The number of subsets of a set with 4 elements is
A. 8 B. 12 C. 16 D. 24 - The empty set is a subset of
A. itself only B. no set C. every set D. finite sets only - If A ⊆ B and B ⊆ A, then
A. A ⊂ B B. A = B C. A ∪ B = ∅ D. A ≠ B - A function assigns
A. many outputs to one input
B. one output to many inputs
C. exactly one output to each input
D. no output to inputs - The range of a function is always
A. equal to domain
B. subset of codomain
C. superset of codomain
D. empty - f(x) = x² is
A. one-one
B. onto
C. many-one
D. identity - The identity function is
A. f(x)=1
B. f(x)=0
C. f(x)=x
D. f(x)=x² - The domain of f(x)=√x is
A. ℝ
B. ℤ
C. x ≥ 0
D. x ≤ 0 - The ordered pair (a,b) equals (b,a) when
A. a ≠ b
B. a = b
C. always
D. never - A relation from A to B is a subset of
A. A ∪ B
B. B × A
C. A × B
D. A ∩ B
- The number of subsets of a set with 4 elements is
-
- The value of i² is
A. 1 B. −1 C. i D. −i - The real part of 3 − 5i is
A. −5 B. 5 C. 3 D. −3 - (1 + i)(1 − i) equals
A. 0 B. 1 C. 2 D. −1 - A quadratic equation has
A. one root
B. two roots
C. three roots
D. no root - The discriminant of x² − 4x + 4 = 0 is
A. 4 B. 0 C. −4 D. 16 - If D > 0, roots are
A. equal
B. imaginary
C. real and distinct
D. irrational only - The sum of roots of ax² + bx + c = 0 is
A. c/a
B. b/a
C. −b/a
D. −c/a - The product of roots is
A. −c/a
B. c/a
C. b/a
D. −b/a - Roots of x² + 1 = 0 are
A. real
B. equal
C. imaginary
D. rational - Quadratic formula is
A. −b/2a
B. (−b ± √D)/2a
C. √(b²−4ac)
D. (b²−4ac)/2a
- The value of i² is
-
- When multiplying an inequality by −1, the sign
A. stays same
B. disappears
C. reverses
D. doubles - x − 3 > 5 gives
A. x > 8
B. x > 2
C. x < 8
D. x < 2 - The value of 0! is
A. 0 B. 1 C. undefined D. ∞ - 5! equals
A. 60 B. 120 C. 24 D. 720 - The number of permutations of 3 objects is
A. 3 B. 6 C. 9 D. 27 - nCr =
A. nPr / r!
B. n!
C. r!/n!
D. nPr - 5C2 equals
A. 5 B. 10 C. 20 D. 25 - Order matters in
A. combinations
B. selections
C. permutations
D. subsets - Number of subsets of n elements is
A. n²
B. n!
C. 2ⁿ
D. n - 6C0 equals
A. 0 B. 1 C. 6 D. undefined
- When multiplying an inequality by −1, the sign
-
- Number of terms in (a+b)⁵ is
A. 5 B. 6 C. 10 D. 32 - The general term of (a+b)ⁿ is
A. nCr aʳbⁿ⁻ʳ
B. nCr aⁿ⁻ʳbʳ
C. nPr aʳbʳ
D. aⁿbʳ - 5C1 equals
A. 1 B. 5 C. 10 D. 20 - Coefficient of x²y in (x+y)³ is
A. 1 B. 2 C. 3 D. 6 - Sum of powers in any binomial term is
A. r
B. n
C. n+1
D. constant - Middle term exists when n is
A. even only
B. odd only
C. prime
D. zero - (a+b)² equals
A. a²+b²
B. a²−b²
C. a²+2ab+b²
D. (a+b)(a−b) - 6C3 equals
A. 10 B. 15 C. 20 D. 30 - Binomial theorem is valid for n ∈
A. ℝ
B. ℤ
C. ℕ
D. ℚ - Pascal’s triangle gives
A. roots
B. coefficients
C. graphs
D. permutations
- Number of terms in (a+b)⁵ is
- Common difference of 3,7,11 is
A. 3 B. 4 C. 5 D. 7 - General term of AP is
A. arⁿ⁻¹
B. a+(n−1)d
C. a+nd
D. an - Is 5,5,5,… an AP?
A. No B. Sometimes C. Yes D. Undefined - Common ratio of 2,6,18 is
A. 2 B. 3 C. 6 D. 9 - General term of GP is
A. a+(n−1)d
B. arⁿ
C. arⁿ⁻¹
D. rn - r cannot be
A. negative
B. fraction
C. positive
D. zero - If r=1, GP becomes
A. zero
B. increasing
C. decreasing
D. constant - First term of 16,8,4 is
A. 4 B. 8 C. 16 D. 2 - AP with d=0 is
A. GP
B. increasing
C. constant
D. decreasing - GP is defined by
A. constant difference
B. constant ratio
C. constant sum
D. constant product
✅ Show Answer Key
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