All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 75 of 78

  • A. rth
  • B. (r+1)th
  • C. (r-1)th
  • D. (r+2)th

Explanation: Correct Answer " (r+1)th"Solution :(r+1)th termHence Answer is "(B)"

Correct answer: (r+1)th
  • A. n
  • B. n-1
  • C. n-2
  • D. n+1

Explanation: Correct Answer "(n+1)"Solution:Hence Answer is "(D)"

Correct answer: n+1
  • A. a=2,b=2
  • B. a=3,b=2
  • C. a=2,b=-6
  • D. a=-3,b=2

Explanation: Correct Answer "a=2,b=-6"Solution :Hence Answer is "(C)"

Correct answer: a=2,b=-6
  • A. 4/√5
  • B. 2/√5
  • C. 3/√5
  • D. √2

Explanation: Correct Answer "√2"Solution:Hence Answer is "(D)"

Correct answer: √2
  • A. 1.2
  • B. 2, 3
  • C. 3.6
  • D. 2, 4

Explanation: Correct Answer "24"Solution:Hence Answer is "(D)"

Correct answer: 2, 4
  • A. 0
  • B. 1
  • C. 2
  • D. -1

Explanation: Correct Answer "1"Solution :(1-2x)-1/2 =1+x+....Hence Answer is "(B)"

Correct answer: 1
  • A. 2
  • B. 1/2
  • C. 3
  • D. 4

Explanation: Correct Answer "1/2"Solution :Hence Answer is "(B)"

Correct answer: 1/2
  • A. 1-1/2x-1/8x2-1/16x3
  • B. 1+1/2x+1/8x2+1/16x3
  • C. 1+1/2x+1/4x2+1/8x3
  • D. 1-1/2x-1/4x2+1/8x3

Explanation: Correct Answer "1-1/2x-1/8x2-1/16x3"Solution :Hence Answer is "(A)"

Correct answer: 1-1/2x-1/8x2-1/16x3
  • A. -2/3,-1/2
  • B. 2/3,1/2
  • C. 4/9,1/2
  • D. -4/9,-1/2

Explanation: Correct Answer "-4/9,-1/2"Solution :Hence Answer is "(D)"

Correct answer: -4/9,-1/2
  • A. 1-1/2x-9/8x2
  • B. 1+1/2x+9/8x2
  • C. 1+1/2x
  • D. 1-1/2x

Explanation: Correct Answer "1-1/2x-9/8x2 "Solution :Hence Answer is "(A)"

Correct answer: 1-1/2x-9/8x2
  • A. 1.523
  • B. 1.456
  • C. 1.987
  • D. 1.234

Explanation: Correct Answer "1.987"Solution :Hence Answer is "(C)"

Correct answer: 1.987
  • A. (1-x)-2
  • B. (1-x)-1
  • C. (1+x)-1
  • D. None of these

Explanation: Correct Answer "None of these"Solution :Binomial series is only valid for |x| < 1Hence Answer is "(D)"

Correct answer: None of these
  • A. 2.000
  • B. 2.002
  • C. 2.002 3
  • D. 2.016

Explanation: **Correct Answer:** (b) 2.002**Explanation:**To find \( (8.2)^{\frac{1}{3}} \), we take the cube root of 8.2.\[ (8.2)^{\frac{1}{3}}…

Correct answer: 2.002
  • A. n = 0
  • B. n = 1
  • C. n ≥ 2
  • D. n is any positive integer

Explanation: To determine the range of values for n where the statement "4^n > 3^n + 4" is true, we need to analyze the inequality.

Correct answer: n ≥ 2
  • A. n = 2
  • B. n = 4
  • C. n = 6
  • D. n ≥ 6

Explanation: To determine the range of values for n where the statement "3^n < n!" is true, we need to analyze the inequality.For n ≥ 6, the statement…

Correct answer: n ≥ 6
  • A. (n c r) a^(n-r) x^r
  • B. (n c r) a^(n-r) x^(n-r)
  • C. (n c r) a^(r) x^(n-r)
  • D. (n c r) (a x)^(n-r)

Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n c r) a^(n-r) x^rWhere:n is the exponent of the binomial…

Correct answer: (n c r) a^(n-r) x^r
  • A. n
  • B. n + 1
  • C. 2^n
  • D. 2^n - 1

Explanation: The number of terms in the expansion of (a + b)^n is given by the formula:2^nWhere n is the exponent of the binomial expression

Correct answer: 2^n
  • A. n
  • B. n - 1
  • C. n + 1
  • D. 2n

Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n choose r) a^(n-r) x^rWhere:n is the exponent of the…

Correct answer: 2n
  • A. (n choose r+1) a^(n-r-1) x^r
  • B. (n choose r) a^(n-r) x^r
  • C. (n choose r-1) a^(n-r+1) x^r+1
  • D. (n choose r) a^(n-r+1) x^r+1

Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n choose r) a^(n-r) x^rWhere:n is the exponent of the…

Correct answer: (n choose r) a^(n-r+1) x^r+1
  • A. decreases from n to 0
  • B. increases from 0 to n
  • C. remains n everywhere
  • D. becomes n at the end

Explanation: In the expansion of (a + x)^n, the general term is given by:(n choose r) a^(n-r) x^rWhere:n is the exponent of the binomial expressionr is…

Correct answer: decreases from n to 0