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Pakistan Institute of Engineering and Applied Sciences
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PIEAS Admission Test (BS, MS and PhD)

Engineering and Applied Sciences

Questions
55
Duration
1h
Passing Score
50%
Negative Marking
Category
Pakistan Institute of Engineering and Applied Sciences
Case No.

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Exam Questions

e^(2x) (2sin(3x) + 3cos(3x))
e^(2x) (3sin(3x) + 2cos(3x))
2e^(2x) * sin(3x) + 3e^(2x) * cos(3x)
e^(2x) (2cos(3x) + 3sin(3x))
ExplanationUsing the product rule (uv)' = u'v + uv', where u=e^(2x) and v=sin(3x), the derivative is 2e^(2x)sin(3x) + 3e^(2x)cos(3x).
4
6
8
10
ExplanationIntegrating (2x + 3) gives x^2 + 3x. Evaluating from 0 to 2: (4 + 6) - (0 + 0) = 10.
It is identity
It is singular
It is invertible
It is symmetric
ExplanationA matrix with a determinant of zero is non-invertible, which is defined as a singular matrix.
0
1
Infinity
-1
ExplanationThis is a standard trigonometric limit result known as the fundamental limit of sine.
1/x
2/x
x^2
2ln(x)
ExplanationUsing the chain rule, d/dx(ln(x^2)) = (1/x^2) * 2x = 2/x.
4
8
12
16
ExplanationThe derivative is y' = 3x^2. Plugging in x = 2 gives 3(4) = 12.
0
1
k
-k
ExplanationBy the right-hand rule and the definition of cross products for unit vectors, i x j = k.
0
1
2
3
ExplanationAn identity matrix is full rank, meaning its rows are linearly independent. For a 3x3 matrix, the rank is 3.
0
1
-1
π/2
ExplanationThe integral of cos(x) is sin(x). Evaluating sin(π/2) - sin(0) gives 1 - 0 = 1.
1/6
1/12
1/36
7/36
ExplanationThere are 6 outcomes that sum to 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) out of 36 total outcomes. 6/36 = 1/6.
PIEAS Admission Test (BS, MS and PhD) paper pattern infographic: subject-wise question distribution across 55 MCQs, 1h duration
PIEAS Admission Test (BS, MS and PhD) — subject-wise question distribution, per the official syllabus

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PIEAS Admission Test (BS, MS and PhD) — Frequently Asked Questions

How many questions are in the PIEAS Admission Test (BS, MS and PhD) practice test?

This practice test currently has 55 MCQs, and every question includes the correct answer with an explanation.

How long is the PIEAS Admission Test (BS, MS and PhD) mock test?

The full mock runs for 1h under real exam timing, just like the actual paper.

Is there negative marking in this test?

No negative marking is applied in this practice test. The rule for the real exam is announced in the official advertisement.

What score do I need to pass?

The passing score in this simulation is 50%, but for competitive merit you should aim well above it.

Is PIEAS Admission Test (BS, MS and PhD) preparation free on PrepPro?

Yes — the questions, explanations and full timed mock test are all free. You can start practising right from this page.

How do I prepare for PIEAS Admission Test (BS, MS and PhD) online?

Practise the syllabus-based MCQs, then sit the full timed mock test and use your result analytics to find and repeat weak topics — all of it starts free from this page.

Can I retake the PIEAS Admission Test (BS, MS and PhD) mock test?

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Is the PIEAS Admission Test (BS, MS and PhD) mock test available in Urdu?

Yes — this entire page has an Urdu mirror under /ur, and the preparation content is available in both English and Urdu.

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