Bsc 2nd Year Mathematics Mcqs With Answers

Studying Bsc 2nd Year Mathematics 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 2nd Year Mathematics Mcqs With Answers

Question: The determinant of the matrix [[3, 2], [1, 4]] is:

a. 10
b. 12
c. 14
d. 16

Answer: a. 10

[expand title=”View Explanation”]Explanation: The determinant of a 2×2 matrix [[a, b], [c, d]] is ad – bc. Thus, for the given matrix, the determinant is 3*4 – 2*1 = 10.
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Question: The zeros of the polynomial x^2 - 3x + 2 are:

a. 1 and 2
b. 1 and 3
c. 2 and 3
d. -1 and -2

Answer: a. 1 and 2

[expand title=”View Explanation”]Explanation: The zeros of the polynomial can be found by setting it equal to zero and solving for x. The solutions to x^2 – 3x + 2 = 0 are x = 1 and x = 2.

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Question: The derivative of f(x) = ln(x) is:

a. 1/x
b. x
c. e^x
d. x^2

Answer: a. 1/x

[expand title=”View Explanation”]Explanation: The derivative of the natural logarithm function ln(x) is 1/x.

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Question: The area under the curve y = x^2 from x = 1 to x = 2 is:

a. 2.33
b. 2.67
c. 4.33
d. 4.67

Answer: b. 2.67

[expand title=”View Explanation”]Explanation: The area under the curve y = x^2 from x = 1 to x = 2 is given by the definite integral ∫x^2 dx from 1 to 2, which equals [x^3/3] evaluated from 1 to 2. This equals 8/3 – 1/3 = 7/3 = 2.67.

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Question: The solution to the system of equations 2x + 3y = 12 and 3x - 2y = 5 is:

a. (2, 3)
b. (3, 2)
c. (-2, -3)
d. (-3, -2)

Answer: b. (3, 2)

[expand title=”View Explanation”]Explanation: By solving the system of equations simultaneously, we find that x = 3 and y = 2.
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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

[expand title=”View Explanation”]Explanation: A critical point occurs where the derivative of the function is zero or undefined. The derivative of this function is f'(x) = 3x^2 – 6x. Setting this equal to zero gives x = 0 and x = 2. However, only x = 2 is listed as an option.

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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

[expand title=”View Explanation”]Explanation: This is an example of an alternating series. The general term decreases to zero, and the series does not converge absolutely (i.e., if you take absolute values, the series diverges), so it’s conditionally convergent.

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