\[ \textbf{MCQs on Arithmetic in Algebra with Answers} \] \[ \textbf{Q1: What is the sum of the first 15 positive integers?} \] \[ \text{(A) } 105 \quad \text{(B) } 120 \quad \text{(C) } 115 \quad \text{(D) } 110 \] \[ \textbf{Answer: (A) } 105 \] \[ \textbf{Q2: What is the value of the arithmetic mean … Read more

\[ \textbf{MCQs on Sequences in Algebra with Answers} \] \[ \textbf{Q1: What is the common difference in the arithmetic sequence: } 3, 7, 11, 15, \dots? \] \[ \text{(A) } 3 \quad \text{(B) } 4 \quad \text{(C) } 5 \quad \text{(D) } 7 \] \[ \textbf{Answer: (B) } 4 \] \[ \textbf{Q2: What is the … Read more

\[ \textbf{MCQs on Functions in Algebra with Answers} \] \[ \textbf{Q1: Which of the following is the definition of a function?} \] \[ \text{(A) A relation where each input has exactly one output} \quad \text{(B) A relation where each input has multiple outputs} \quad \text{(C) A set of numbers} \quad \text{(D) A set of ordered … Read more

\[ \textbf{MCQs on Matrices with Answers} \] \[ \textbf{Q1: What is the dimension of a matrix with 3 rows and 4 columns?} \] \[ \text{(A) } 3 \times 3 \quad \text{(B) } 4 \times 3 \quad \text{(C) } 3 \times 4 \quad \text{(D) } 4 \times 4 \] \[ \textbf{Answer: (C) } 3 \times 4 … Read more

Question 1: \[ \text{What is the determinant of the following matrix?} \] \[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \] \[ \text{(a) } 4, \quad \text{(b) } -2, \quad \text{(c) } 2, \quad \text{(d) } -1 \] Answer: B Question 2: \[ \text{What is the rank of the matrix?} \] … Read more

Question 1: \[ \text{What is the sum of } (3x^2 + 5x – 2) \text{ and } (4x^2 – 3x + 6)? \] \[ \text{(a) } 7x^2 + 2x + 4, \quad \text{(b) } 7x^2 – 2x + 4, \quad \text{(c) } 7x^2 + 8x + 4, \quad \text{(d) } 7x^2 + 2x – 4 … Read more

Question 1: \[ \text{What is the sum of } (3x^2 + 5x – 2) \text{ and } (4x^2 – 3x + 6)? \] \[ \text{(a) } 7x^2 + 2x + 4, \quad \text{(b) } 7x^2 – 2x + 4, \quad \text{(c) } 7x^2 + 8x + 4, \quad \text{(d) } 7x^2 + 2x – 4 … Read more

Question 1: \[ \text{What is the factorization of } x^2 – 9? \] \[ \text{(a) } (x+3)(x-3), \quad \text{(b) } (x-9)(x+9), \quad \text{(c) } (x-3)^2, \quad \text{(d) } (x+9)(x-9) \] Answer: A Question 2: \[ \text{Which of the following is a factor of } x^2 – 5x + 6? \] \[ \text{(a) } (x-1), \quad … Read more

Question 1: \[ \text{If } P(x) = x^3 – 4x^2 + 3x + 5, \text{ what is } P(2)? \] \[ \text{(a) } 1, \quad \text{(b) } 3, \quad \text{(c) } 5, \quad \text{(d) } 7 \] Answer: C Question 2: \[ \text{Which of the following is a polynomial?} \] \[ \text{(a) } x^2 + … Read more

Question 1: \[ \text{If } \log_2 8 = x, \text{ what is the value of } x? \] \[ \text{(a) } 2, \quad \text{(b) } 3, \quad \text{(c) } 4, \quad \text{(d) } 5 \] Answer: B Question 2: \[ \text{If } \log_5 (25) = x, \text{ then } x \text{ is:} \] \[ \text{(a) … Read more

Question 1: \[ \text{Which of the following is the general form of an exponential function?} \] \[ \text{(a) } f(x) = ax^b, \quad \text{(b) } f(x) = a^x, \quad \text{(c) } f(x) = x^a, \quad \text{(d) } f(x) = a + bx \] Answer: B Question 2: \[ \text{What is the value of } f(x) … Read more

Question 1: \[ \text{If } 2^x = 32, \text{ then what is the value of } x? \] \[ \text{(a) } 4, \quad \text{(b) } 5, \quad \text{(c) } 6, \quad \text{(d) } 3 \] Answer: B Question 2: \[ \text{Simplify: } \frac{a^7}{a^4}. \] \[ \text{(a) } a^3, \quad \text{(b) } a^{11}, \quad \text{(c) } … Read more