Free Algebra MCQs with Answers
269 Algebra MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Algebra represents unknown quantities with symbols and uses equations, identities, patterns, and formulas to solve problems. The chapter includes linear and quadratic equations, sequences and series, and the distinction between solving an equation and finding a general rule for a sequence or sum.
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269 questions · page 9 of 14
- A. 27
- B. 37
- C. 47
- D. 67
Explanation: 37, 47, and 67 are prime numbers, while 27 is composite because 27 = 3 x 9.
Correct answer: 27- A. 3
- B. 4
- C. 5
- D. 9
Explanation: 3, 5, and 9 are odd numbers, but 4 is even because it is divisible by 2. Therefore, 4 does not follow the common odd-number property.
Correct answer: 4- A. 2^-1
- B. 2^
- C. 2^+1
- D. n2
Explanation: Correct Answer "2^n -1"Solution:Sum of even bionomial coefficients=2^-1Hence Answer is "(A)"
Correct answer: 2^-1- A. 6th term
- B. 4th term
- C. 5th term
- D. 3rd term
Explanation: Correct Answer "6th Term"Solution:Hence Answer is "(A)"
Correct answer: 6th term- A. n ∈ O
- B. n ∈ N
- C. n ∈ E
- D. n ∈ W
Explanation: Correct Answer "n element of W"Solution :Hence Answer is "(D)"
Correct answer: n ∈ W- A. 3
- B. 5
- C. 2
- D. 4
Explanation: Correct Answer "4"Solution:n+1/2 =7+1/2=4Hence Answer is "(D)"
Correct answer: 4- A. 2
- B. 52
- C. 24
- D. 55
Explanation: Correct Answer "5^5"Solution:sum of coefficients=(3+2)2=5
Correct answer: 55- A. -5687/8x5
- B. 5687/8x5
- C. -15309/8x5
- D. 15309/8x5
Explanation: Correct Answer "15309/8x5 "Solution:Hence Answer is "(C)"
Correct answer: -15309/8x5- A. 198/x2
- B. -198/x2
- C. 188/x2
- D. -188/x2
Explanation: Correct Answer" -198/x2"Solution:Hence Answer is "(B)"
Correct answer: -198/x2- A. 16.64
- B. 16.44
- C. 16.40
- D. 16.60
Explanation: Correct Answer "16.64"Solution :Hence Answer is "(A)"
Correct answer: 16.64- A. n = 3
- B. n = 4
- C. n = 5
- D. n = 6
Explanation: Correct Answer "n = 3"Solution :Hence Answer is "(A)"
Correct answer: n = 3172. Binomial expansion of an expression A is given by 1-8x+24x²-32x² + 16x4 the expression A is given by
- A. A = (1-2x)4
- B. A = (1-4x)
- C. A = (1+2x)4
- D. A = (1-4x)4
Explanation: Correct Answer A = (1-2x)4Solution :Hence Answer is "(A)"
Correct answer: A = (1-2x)4- A. 5
- B. 10
- C. 25
- D. 4
Explanation: Correct Answer "10"Solution :Hence Answer is "(B)"
Correct answer: 10- A. 5689a4
- B. 4032 a2 / X5
- C. 895 a4 / 86 / X5
- D. 682 a4 / 9 X3
Explanation: Correct Answer 4032 a2 / X5 Solution :Hence Answer is "(B)"
Correct answer: 4032 a2 / X5- A. n + 1
- B. n - 1
- C. n
- D. n - 2
Explanation: Correct Answer "n"Solution :No of terms = index + 1 = n - 1 + 1 = nHence Answer is "(C)"
Correct answer: n- A. X3 / 256Y8 + X6 / y6
- B. X3 / 256 y8
- C. X8 / y8 - X5 / 8y6
- D. X3 / 256y3 - X6 / 8y6
Explanation: Correct Answer X3 / 256y3 - X6 / 8y6Solution :Hence Answer is "(D)"
Correct answer: X3 / 256y3 - X6 / 8y6- A. C1
- B. 5/12
- C. C. 1
- D. None of these
Explanation: Correct Answer "None of these"Solution:Hence Answer is "(D)"
Correct answer: None of these- A. 84
- B. 8,4
- C. 0.84
- D. None of these
Explanation: Correct Answer "None of these"Solution :Hence Answer is "(D)"
Correct answer: None of these- A. 56
- B. 55
- C. 45
- D. 15
Explanation: Correct Answer "55"Solution :Hence Answer is "(B)"
Correct answer: 55- A. 16486/x5
- B. 13486/x5
- C. 17010/x5
- D. None of these
Explanation: Correct Answer "17010/x5"Solution :Hence Answer is "(C)"
Correct answer: 17010/x5