University of Engineering and Technology (UET) Lahore10 Questions

Mathematics MCQs

Practice Mathematics multiple-choice questions for University of Engineering and Technology (UET) Lahore 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.

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±4

±8

±16

ExplanationFor equal roots, the discriminant D = b² - 4ac = 0. Here, (-k)² - 4(1)(16) = 0, so k² = 64, k = ±8.

5/3

3/5

ExplanationUsing the fundamental limit theorem lim(θ→0) sin(θ)/θ = 1, multiplying by 5/5 gives (5/3) * lim(x→0) (sin(5x)/5x) = 5/3.

1/4

3/4

1/2

2/3

ExplanationUsing the sum formula S = a / (1 - r), we have 12 = 3 / (1 - r), which simplifies to 1 - r = 3/12 = 1/4, so r = 3/4.

2e^(2x)ln(x) + e^(2x)/x

e^(2x)ln(x) + e^(2x)/x

2e^(2x)ln(x) + x*e^(2x)

e^(2x)/x

ExplanationUsing the product rule (uv)' = u'v + uv', where u = e^(2x) and v = ln(x), we get 2e^(2x)ln(x) + e^(2x)(1/x).

32/3

16/3

8/3

64/3

ExplanationArea = integral from -2 to 2 of (4 - x^2) dx = [4x - x^3/3] from -2 to 2 = (8 - 8/3) - (-8 + 8/3) = 16/3 + 16/3 = 32/3.

-2

-10

ExplanationThe determinant of [[a, b], [c, d]] is ad - bc. Thus, (1*4) - (2*3) = 4 - 6 = -2.

f(x) = x^3

f(x) = sin(x)

f(x) = x^2 + cos(x)

f(x) = x + 1

ExplanationA function is even if f(-x) = f(x). For x^2 + cos(x), (-x)^2 + cos(-x) = x^2 + cos(x).

3x + 4y = 25

4x + 3y = 25

3x + 4y = 5

x + y = 7

ExplanationThe equation of tangent at (x1, y1) to circle x² + y² = r² is xx1 + yy1 = r². Substituting (3, 4) and 25, we get 3x + 4y = 25.

Explanation(f ∘ g)(x) = f(g(x)) = f(x²). Substituting x=2, g(2)=4. Then f(4) = 3(4) - 5 = 7.

45,360

90,720

362,880

22,680

ExplanationTotal letters = 9. Repetitions: M=2, T=2, E=2. Permutations = 9! / (2! * 2! * 2!) = 362,880 / 8 = 45,360.

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 University of Engineering and Technology (UET) Lahore 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.