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100+ Free NUST NET Practice Questions

NUST Entry Test (NET) — Engineering / Computing practice questions are available now; exam metadata is being verified.

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Key Facts: NUST NET Exam

NUST NET-Engineering / Computing: Maths 50%, Physics 30%, English 20% (four-option MCQs; English SAT-style). Best score across series counts for merit. Fee Rs. 5,000 per exam for Pakistani candidates. Official absolute question count and duration are not published.

Sample NUST NET Practice Questions

Try these sample questions to test your NUST NET exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the derivative of f(x) = 5x^4 - 3x^2 + 7 with respect to x?
A.20x^3 - 6x
B.20x^3 - 3x
C.5x^3 - 6x
D.20x^3 - 6x + 7
Explanation: By the power rule, d/dx(5x^4) = 20x^3 and d/dx(-3x^2) = -6x; the constant 7 differentiates to 0. So f'(x) = 20x^3 - 6x.
2Evaluate ∫ (4x + 1) dx.
A.2x^2 + x + C
B.4x^2 + x + C
C.2x^2 + 1 + C
D.4x^2 + C
Explanation: ∫4x dx = 2x^2 and ∫1 dx = x, so the antiderivative is 2x^2 + x + C.
3If sin θ = 5/13 and θ is acute, what is cos θ?
A.12/13
B.5/12
C.13/12
D.8/13
Explanation: cos^2θ = 1 - sin^2θ = 1 - 25/169 = 144/169, so cos θ = 12/13 since θ is acute.
4The sum of the first n natural numbers is:
A.n(n + 1)/2
B.n(n - 1)/2
C.n^2/2
D.n(n + 1)
Explanation: The arithmetic series 1 + 2 + … + n has sum S_n = n(n + 1)/2.
5If A = [[2, 0], [0, 3]], what is det(A)?
A.6
B.5
C.0
D.1
Explanation: For a 2×2 diagonal matrix, det = product of diagonal entries: 2 × 3 = 6.
6Simplify (x^3)(x^5).
A.x^8
B.x^15
C.x^2
D.2x^8
Explanation: When multiplying powers with the same base, add exponents: 3 + 5 = 8, so x^8.
7The distance between points (1, 2) and (4, 6) is:
A.5
B.√13
C.7
D.√7
Explanation: d = √[(4−1)^2 + (6−2)^2] = √(9 + 16) = √25 = 5.
8If 2x − 5 = 11, then x equals:
A.8
B.3
C.16
D.6
Explanation: Adding 5 to both sides of 2x − 5 = 11 gives 2x = 16, so x = 8. Linear equations isolate the variable through inverse operations.
9The slope of the line through (0, 0) and (3, 6) is:
A.2
B.1/2
C.3
D.6
Explanation: m = (6 − 0)/(3 − 0) = 6/3 = 2.
10What is lim(x→2) (3x + 1)?
A.7
B.6
C.5
D.3
Explanation: Polynomials are continuous, so lim(x→2)(3x+1) = 3(2)+1 = 7.

About the NUST NET Practice Questions

Verified exam format metadata for NUST Entry Test (NET) — Engineering / Computing is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.