Mathematics V (BAS404) - AKTU Question Paper 2023-24
B.Tech · Semester 4 · Free PDF Download
This is the official AKTU Mathematics V Previous Year Question Paper for B.Tech Semester 4, academic session 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
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Questions Asked in 2023-24
Mathematics V (BAS404) — complete question paper · 70 marks · 3 Hours
- aDefine Fourier transform
- bFind Laplace transform of t sin t
- cState the condition when Binomial distribution becomes Poisson distribution
- dWrite divided difference formula for f(x) which takes only three points 𝑥0, 𝑥1 and 𝑥2
- fDefine chi square test
- gWhat is the objective of experimental design
- aExplain the following (i) Z transform (ii) Modulation property of Fourier transform
- bCompute k, mean and variance from following probability distribution
- cExplain Regula Falsi method with its applications and limitation
- dDiscuss whether the nature of area is related to voting preference in the election for which the data is given Area A B Total Rural 620 480 1100 Urban 380 520 900 Given that
- eThe following table gives 15 samples plots under three groups. Could we conclude that there is a significant variation? You may use tabulated value of F (2,12) =3.88. Variety I 15 10 14 15 12 Variety II 12 11 16 10 11 Variety
- aFind the Fourier cosine transform of 𝑓(𝑥) =
- bUsing Z transform solve the following difference equation
- aData was collected over a period of 10 years, showing number of deaths from horse kicks in each of the 200 army corps. The distribution of deaths was as follows: Deaths Frequency 109 65 22 3 1 Determine the Poisson Distribution function corresponding to the data and calculate the theoretical frequency
- b10 coins are tossed 100 times. How many times do you expect to get at least seven heads
- aExplain (i) Lagrange interpolation (ii) Divided difference formula
- bShow that Newton Rhapson method has second order rate of convergence
- aDiscuss whether there is any association between Area and pollution index of the city for which the data is given: Area/Pollution high low Total Urban 150 350 500 Rural 250 350 600 You may use chi square =3.84 for 1d.f at 5% level of significance
- bExplain t test for one and two samples
- aExplain the following terms related to experimental designs: (i) RBD (ii) LSD (iii) CRBD
- bDiscuss the difference between np-chart and p-chart. Following is the data of defective of 10 samples of size 100 each. Construct np-chart and explain your findings. Sample no. 1 2 3 4 5 6 7 8 9 10 defectives
Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.
Repeated Questions — BAS404
Questions that appeared in more than one session, found by comparing 2 years of Mathematics V papers (2023-24, 2025-26)
Define Fourier transform
Appeared in: 2023-24 · 2025-26
Find the Fourier cosine transform of 𝑓(𝑥) =
Appeared in: 2023-24 · 2025-26
Mathematics V — Other Year Papers
AKTU Mathematics V PYQs from other sessions
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Syllabus & More PYQs
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