Bsc 1st Year Maths Mcqs With Answers

Studying Bsc 1st Year Maths Mcqs With Answers is important 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.

These Multiple Choice Questions 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 1st Year Maths Mcqs With Answers

Question: The derivative of y = 3x^4 - 2x^2 + 1 at x = 2 is:

a. 8
b. 32
c. 56
d. 52

Answer: c. 56

[expand title=”View Explanation”]Explanation: Using the power rule for differentiation, the derivative of y is y’ = 12x^3 – 4x. When x = 2, y’ = 12*(2^3) – 4*2 = 56.

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Question: If A and B are two sets such that n(A) = 20, n(B) = 15 and n(A ∩ B) = 5, then n(A ∪ B) is:

a. 25
b. 30
c. 35
d. 40

Answer: b. 30

[expand title=”View Explanation”]Explanation: According to the principle of inclusion and exclusion, n(A ∪ B) = n(A) + n(B) – n(A ∩ B) = 20 + 15 – 5 = 30.

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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

[expand title=”View Explanation”]Explanation: The eigenvalues of a matrix are solutions to the characteristic equation det(A – λI) = 0. For the given matrix, the eigenvalues are 1 and 3.

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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

[expand title=”View Explanation”]Explanation: This is the Basel problem. The series is the sum of the reciprocals of the squares of the natural numbers, and it converges to π^2/6.

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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

[expand title=”View Explanation”]Explanation: The given differential equation is a first-order linear differential equation. The general solution is y = Ce^x, and using the initial condition y(0) = 1, we find C = 1, so the solution is y = e^x.
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Question: The integral of ∫x^2 dx from 0 to 3 is:

a. 6
b. 9
c. 12
d. 27

Answer: b. 9

[expand title=”View Explanation”]Explanation: The integral of x^2 is (1/3)x^3. Evaluating from 0 to 3 gives (1/3)*27 – (1/3)*0 = 9.

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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

[expand title=”View Explanation”]Explanation: In matrix multiplication, just because AB and AC are defined, it doesn’t mean that B = C. Matrix multiplication is not commutative.

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