BSC All Sem Maths Important Mcqs with answers

Studying BSC All Sem Maths Important Mcqs with answers is Good for your Exam Preparation. They Can Help You To Cover Maximum Syllabus In Minimum Time.

Maths Is A Difficult Subject if You Lack Knowledge About Its Calculations. In This Post We Have Compiled Some important questions For Students in First Year Of BSC Course.

BSC All Sem Maths Important Mcqs with answers

These BSC All Sem Maths Important Mcqs with answers Mentioned Here Are Extracted From Previous Year Question Papers And They Help You Learn Important Knowledge about Maths Theory Based Question as well as Practical Question

BSC All Sem Maths Important Mcqs with answers

BSC 1st Semester Maths Important Mcqs with answers

BSC 1st Semester Maths Important Mcqs with answers
BSC 1st Semester
Question: The function f(x) = log(x) is undefined at:
a. x = 0
b. x = 1
c. x = -1
d. x = e
Answer: a. x = 0
Question: The derivative of y = cos(x) is:
a. -sin(x)
b. sin(x)
c. -cos(x)
d. cos(x)
Answer: a. -sin(x)
Question: If the vectors a = [1, 2] and b = [3, 4], the angle between the vectors is:
a. 0 degrees
b. 45 degrees
c. 90 degrees
d. None of the above
Answer: d. None of the above
Question: The solution to the differential equation dy/dx = y^2 with the initial condition y(0) = 1 is:
a. y = 1/(1 – x)
b. y = 1/(1 + x)
c. y = e^x
d. y = e^-x
Answer: a. y = 1/(1 – x)
Question: If the vectors u = [1, 2, 3] and v = [4, 5, 6], then u • v (dot product) is:
a. 32
b. 28
c. 26
d. 24
Answer: a. 32
Question: The integral of ∫x^2 e^x dx from 0 to 1 is:
a. e – 2
b. e + 1
c. 2e – 2
d. 2e + 1
Answer: a. e – 2
Question: The slope of the line tangent to the curve y = ln(x) at x = 1 is:
a. 0
b. 1
c. e
d. -1
Answer: b. 1
Question: If A and B are two sets such that n(A) = 20n(B) = 15 and n(A ∩ B) = 5, then n(A ∪ B) is:
a. 25
b. 30
c. 35
d. 40
Answer: b. 30
Question: The eigenvalues of the matrix [[2, 1], [1, 2]]
a. 1 and 3
b. -1 and 3
c. 1 and -3
d. -1 and -3
Answer: a. 1 and 3
Question: The series 1 + 1/4 + 1/9 + 1/16 + ... converges to:
a. 1
b. 2
c. π^2/6
d. π^2/4
Answer: c. π^2/6
Question: The solution to the differential equation dy/dx = y with the initial condition y(0) = 1 is:
a. y = e^x
b. y = e^-x
c. y = x^2
d. y = x
Answer: a. y = e^x
Question: The integral of ∫x^2 dx from 0 to 3 is:
a. 6
b. 9
c. 12
d. 27
Answer: b. 9
Question: If A, B, and C are matrices, and both AB and AC are defined, then B = C. True or False?
a. True
b. False
Answer: b. False
Question: The function f(x) = x^3 - 3x^2 + 2 has a critical point at:
a. x = 0
b. x = 1
c. x = 2
d. x = 3
Answer: b. x = 1
Question: The series 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ... is:
a. Convergent
b. Divergent
c. Neither convergent nor divergent
d. Conditionally convergent
Answer: d. Conditionally convergent
Question: The derivative of f(x) = ln(x) is:
a. 1/x
b. x
c. e^x
d. x^2
Answer: a. 1/x

BSC 2nd Semester Maths Important Mcqs with answers

BSC 2nd Semester Maths Important Mcqs with answers
BSC 2nd Semester
Question: The maximum value of the function f(x) = x^2 - 2x + 3 is: a. 2 b. 3 c. 4 d. None of the above
Answer: d. None of the above
Question: The function g(x) = e^x is its own:
a. Derivative
b. Integral
c. Inverse
d. a and b
Answer: d. a and b
Question: The zeros of the polynomial x^2 – x – 6 are:
a. -2 and 3
b. -3 and 2
c. 2 and 3
d. -2 and -3
Answer: a. -2 and 3
Question: The derivative of y = sin(x) is:
a. cos(x)
b. -cos(x)
c. -sin(x)
d. sin(x)
Answer: a. cos(x)
Question: The integral of ∫cos(x) dx from 0 to π/2 is:
a. 0
b. 1
c. π/2
d. π
Answer: b. 1
Question: The determinant of the matrix [[3, 2], [1, 4]] is:
a. 10
b. 12
c. 14
d. 16
Answer: a. 10
Question: The coefficient of x^2 in the expansion of (x + 2)^4 is:
a. 6
b. 12
c. 18
d. 24
Answer: b. 12
Question: The radius of convergence of the power series ∑n=0 to ∞ (x^n)/n! is:
a. 0
b. 1
c. e
d. ∞
Answer: d. ∞
Question: The limit as x approaches 0 of (1 – cos(x))/x is:
a. 0
b. 1
c. Undefined
d. ∞
Answer: a. 0
Question: The inverse of the function f(x) = x^3 is:
a. f^-1(x) = x^(1/3)
b. f^-1(x) = 3x
c. f^-1(x) = x/3
d. f^-1(x) = 3/x
Answer: a. f^-1(x) = x^(1/3)
Question: The solution to the system of equations 3x – 4y = 1 and 2x + y = 7 is:
a. (2, 1)
b. (1, 2)
c. (3, 4)
d. (4, 3)
Answer: b. (1, 2)

BSC 3rd Semester Maths Important Mcqs with answers

BSC 3rd Semester  Maths Important Mcqs with answers
BSC 3rd Semester
Question: The zeros of the polynomial x^3 – 3x^2 + 2x – 1 are:
a. 0, 1, and -1
b. 0, 1, and 2
c. 1, 2, and 3
d. -1, -2, and -3
Answer: c. 1, 2, and 3
Question: The coefficients of the terms in the expansion of (x + y)^4 are given by the numbers in row:
a. 3 of Pascal’s triangle
b. 4 of Pascal’s triangle
c. 5 of Pascal’s triangle
d. 6 of Pascal’s triangle
Answer: b. 4 of Pascal’s triangle
Question: The solution to the differential equation dy/dx = 2y with the initial condition y(0) = 1 is:
a. y = e^(2x)
b. y = e^(-2x)
c. y = 2e^x
d. y = 2e^(-x)
Answer: a. y = e^(2x)
Question: The integral of ∫dx/(1 + x^2) from 0 to 1 is:
a. π/4
b. π/2
c. π
d. 2π
Answer: a. π/4
Question: The derivative of the function f(x) = x^4 – 2x^2 + 1 at x = 1 is:
a. 0
b. 1
c. 2
d. 3
Answer: c. 2
Question: The derivative of the function f(x) = 1/(1 – x) is:
a. 1/(1 – x)^2
b. -1/(1 – x)^2
c. (1 – x)^2
d. -(1 – x)^2
Answer: a. 1/(1 – x)^2
Question: If A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 2]], then AB is:
a. [[4, 4], [10, 8]]
b. [[5, 2], [11, 6]]
c. [[4, 2], [10, 6]]
d. [[5, 4], [11, 8]]
Answer: b. [[5, 2], [11, 6]]
Question: The integral of ∫x e^x dx from 0 to 1 is:
a. e – 1
b. 1 – e
c. e + 1
d. 1 + e
Answer: a. e – 1
Question: The solution to the differential equation dy/dx = y^2 – 1 with the initial condition y(0) = 0 is:
a. y = tanh(x)
b. y = coth(x)
c. y = sech(x)
d. y = csch(x)
Answer: a. y = tanh(x)
Question: The eigenvalues of the matrix [[2, 1], [1, 2]] are:
a. 1 and 3
b. -1 and 3
c. 1 and -3
d. -1 and -3
Answer: a. 1 and 3

BSC 4th Semester Maths Important Mcqs with answers

BSC 4th Semester  Maths Important Mcqs with answers
BSC 4th Semester
Question: The derivative of f(x) = x/(1 + x) is:
a. 1/(1 + x)^2
b. 1/(1 + 2x)
c. 1/(1 + x)
d. 1/(x^2 + 2x + 1)
Answer: a. 1/(1 + x)^2
Question: The integral of ∫dx/(1 + x^2) from -∞ to ∞ is:
a. 0
b. π
c. 2π
d. ∞
Answer: b. π
Question: The solution to the differential equation dy/dx = y^2 with the initial condition y(1) = 1 is:
a. y = 1/(2 – x)
b. y = 1/(x – 2)
c. y = 1/(1 – x)
d. y = 1/(x – 1)
Answer: a. y = 1/(2 – x)
Question: The coefficients of the terms in the expansion of (x + y)^5 are given by the numbers in row:
a. 4 of Pascal’s triangle
b. 5 of Pascal’s triangle
c. 6 of Pascal’s triangle
d. 7 of Pascal’s triangle
Answer: b. 5 of Pascal’s triangle
Question: The zeros of the polynomial x^3 – 2x^2 + x – 2 are:
a. -1, 1, and 2
b. -2, 1, and 2
c. -1, -2, and 1
d. -2, -1, and 2
Answer: b. -2, 1, and 2
Question: The derivative of f(x) = ln(x^2 + 1) is:
a. 2x/(x^2 + 1)
b. 2x/(1 – x^2)
c. x/(x^2 + 1)
d. x/(1 – x^2)
Answer: a. 2x/(x^2 + 1)
Question: The integral of ∫x^2 e^x dx from 0 to 1 is:
a. 2 – e
b. e – 2
c. e + 2
d. 2 + e
Answer: b. e – 2
Question: The solution to the differential equation dy/dx = y – x with the initial condition y(0) = 1 is:
a. y = x + e^x
b. y = e^x – x
c. y = x – e^x
d. y = e^x + x
Answer: a. y = x + e^x
Question: The coefficients of the terms in the expansion of (x + y)^6 are given by the numbers in row:
a. 5 of Pascal’s triangle
b. 6 of Pascal’s triangle
c. 7 of Pascal’s triangle
d. 8 of Pascal’s triangle
Answer: b. 6 of Pascal’s triangle
Question: The zeros of the polynomial x^3 + 3x^2 + 3x + 1 are:
a. -1, -1, and -1
b. 1, 1, and 1
c. -1, 1, and -1
d. 1, -1, and 1
Answer: a. -1, -1, and -1

BSC 5th Semester Maths Important Mcqs with answers

BSC 5th Semester  Maths Important Mcqs with answers
BSC 5th Semester
Question: The zeros of the polynomial x^3 – 3x^2 + 2x – 1 are:
a. 0, 1, and -1
b. 0, 1, and 2
c. 1, 2, and 3
d. -1, -2, and -3
Answer: c. 1, 2, and 3
Question: The coefficients of the terms in the expansion of (x + y)^4 are given by the numbers in row:
a. 3 of Pascal’s triangle
b. 4 of Pascal’s triangle
c. 5 of Pascal’s triangle
d. 6 of Pascal’s triangle
Answer: b. 4 of Pascal’s triangle
Question: The solution to the differential equation dy/dx = 2y with the initial condition y(0) = 1 is:
a. y = e^(2x)
b. y = e^(-2x)
c. y = 2e^x
d. y = 2e^(-x)
Answer: a. y = e^(2x)
Question: The integral of ∫dx/(1 + x^2) from 0 to 1 is:
a. π/4
b. π/2
c. π
d. 2π
Answer: a. π/4
Question: The derivative of the function f(x) = x^4 – 2x^2 + 1 at x = 1 is:
a. 0
b. 1
c. 2
d. 3
Answer: c. 2
Question: The derivative of the function f(x) = 1/(1 – x) is:
a. 1/(1 – x)^2
b. -1/(1 – x)^2
c. (1 – x)^2
d. -(1 – x)^2
Answer: a. 1/(1 – x)^2
Question: If A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 2]], then AB is:
a. [[4, 4], [10, 8]]
b. [[5, 2], [11, 6]]
c. [[4, 2], [10, 6]]
d. [[5, 4], [11, 8]]
Answer: b. [[5, 2], [11, 6]]
Question: The integral of ∫x e^x dx from 0 to 1 is:
a. e – 1
b. 1 – e
c. e + 1
d. 1 + e
Answer: a. e – 1
Question: The solution to the differential equation dy/dx = y^2 – 1 with the initial condition y(0) = 0 is:
a. y = tanh(x)
b. y = coth(x)
c. y = sech(x)
d. y = csch(x)
Answer: a. y = tanh(x)
Question: The eigenvalues of the matrix [[2, 1], [1, 2]] are:
a. 1 and 3
b. -1 and 3
c. 1 and -3
d. -1 and -3
Answer: a. 1 and 3

BSC 6th Semester Maths Important Mcqs with answers

BSC 6th Semester  Maths Important Mcqs with answers
BSC 6th Semester
Question: If X is a non-empty set, then the power set of X contains:
a. X
b. Elements of X
c. Subsets of X
d. None of the above
Answer: c. Subsets of X
Question: A quadratic equation always has:
a. One root
b. Two roots
c. Three roots
d. None of the above
Answer: b. Two roots
Question: The derivative of a constant is:
a. 1
b. 0
c. The constant itself
d. None of the above
Answer: b. 0
Question: The value of the determinant [2,3;4,5] is:
a. 1
b. 2
c. -2
d. None of the above
Answer: c. -2
Question: The integral ∫2xdx is:
a. x^2 + C
b. 2x^2 + C
c. x^2/2 + C
d. None of the above
Answer: a. x^2 + C
Question: The solution to the differential equation dy/dx = y is:
a. y = e^x
b. y = ln(x)
c. y = x^2
d. None of the above
Answer: a. y = e^x
Question: A matrix that has no inverse is called:
a. Singular
b. Non-singular
c. Diagonal
d. None of the above
Answer: a. Singular
Question: If the vectors A and B are orthogonal, their dot product is:
a. 1
b. 0
c. A.B
d. None of the above
Answer: b. 0
Question: The solution to the differential equation dy/dx = y^2 – 1 with the initial condition y(0) = 0 is:
a. y = tanh(x)
b. y = coth(x)
c. y = sech(x)
d. y = csch(x)
Answer: a. y = tanh(x)
Question: A group of order 2 must be:
a. Abelian
b. Non-Abelian
c. Finite
d. None of the above
Answer: a. Abelian

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