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Barani Institute of Information Technology14 الأسئلة

Mathematics MCQs

Practice Mathematics multiple-choice questions for Barani Institute of Information Technology competitive exams. Each question includes the correct answer and a short explanation, and past-paper questions are marked so you can revise both repeated and fresh material in one place.

7
10
11
12
الشرحThe dot product is calculated as (1*3) + (2*4) = 3 + 8 = 11.
2x2
3x4
4x3
3x2
الشرحWhen multiplying an (m x n) matrix by an (n x p) matrix, the resulting matrix is (m x p). Here, (3 x 2) * (2 x 4) results in a 3 x 4 matrix.
x^2 + 2
3x^2 + 2x
3x^2 + 2
3x^3 + 2
الشرحUsing the power rule, the derivative of x^n is nx^(n-1). For x^3 it is 3x^2, and for 2x it is 2.
[5, 6]
[6, 8]
[3, 8]
[6, 4]
الشرحScaling a vector by a scalar constant involves multiplying each component of the vector by that constant (3*2=6, 4*2=8).
P(A|B) = P(A) + P(B)
P(A ∩ B) = P(A) * P(B)
P(A ∪ B) = P(A) * P(B)
P(A ∩ B) = P(A) + P(B)
الشرحFor independent events, the probability of both occurring is the product of their individual probabilities.
Identity matrix
Diagonal matrix
Symmetric matrix
Orthogonal matrix
الشرحA symmetric matrix is equal to its transpose, meaning it is symmetric across its main diagonal.
0
1
e
undefined
الشرحAny non-zero real number raised to the power of 0 equals 1.
ReLU
Sigmoid
Tanh
Linear
الشرحThe Sigmoid function maps any input to a value between 0 and 1, making it useful for probability-based outputs.
[8, 3]
[5, 3]
[8, 4]
[2, 6]
الشرحThe gradient is [df/dx, df/dy] = [2x + 3y, 3x]. At (1, 2), this is [2(1) + 3(2), 3(1)] = [8, 3].
3
4
5
7
الشرحDistance = sqrt((3-0)^2 + (4-0)^2) = sqrt(9+16) = sqrt(25) = 5.
0
1
2
-1
الشرحThe identity matrix I = [[1, 0], [0, 1]]. The determinant is (1*1) - (0*0) = 1.
f''(x) > 0
f''(x) < 0
f''(x) = 0
f''(x) is undefined
الشرحA function that is strictly concave has a negative second derivative throughout its domain.
The sum of the diagonal elements
The product of the diagonal elements
The elements on the main diagonal
The square root of the diagonal elements
الشرحFor any diagonal matrix, the eigenvalues are simply the entries present on the main diagonal.
e
0
1
Infinity
الشرحBy definition, ln(x) = 0 when x = 1, since e^0 = 1.

Frequently Asked Questions

Are these Mathematics MCQs free?

Yes. Every Mathematics MCQ on this page is free to practice, including the correct answer and explanation.

Do these include past-paper questions?

Yes — questions sourced from past papers are clearly marked with a "Past Paper" badge, alongside fresh practice questions.

Which exams do these Mathematics MCQs help with?

They are aimed at Barani Institute of Information Technology and related Pakistani competitive exams that test Mathematics.

How should I practice subject-wise MCQs?

Attempt each question first, then reveal the answer and read the explanation. Short, focused sessions on one subject work better than long unstructured reading.

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