Mathematics V (BAS404) - AKTU Question Paper 2025-26
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 2025-26. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
Course:B.Tech
Semester:Semester 4
Session:2025-26
University:AKTU / UPTU
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Questions Asked in 2025-26
Mathematics V (BAS404) — complete question paper · 70 marks · 3 Hours
Section AAttempt all questions in brief. 02 x 7 = 14
- aFind the Fourier transform of otherwise bxaforexf otherwise bxaforexf
- bFind the Complex Fourier transform of Dirac-delta function .)( ax
- cA random variable X has the following probability function: Find k
- dWhat is the criterion for the convergence in Newton-Raphson method for
- eProve the result E
- fWrite the Degree of freedom for a qp contingency table
- gWrite the formula of Central line, Lower control limit, and Upper control limit of np-chart
Section BAttempt any three of the following: 07 x 3 = 21
- aFind the Fourier transform xexf x 2cos)( (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS-V
- bSix dice are thrown 729 times. How many times do you expect at least three dice to show a five or six?
- cFind by Newton’s Raphson method, the real root of the equation 1cos3 xx correct to four decimal places
- dSamples of sizes 10 and 14 were taken from two normal populations with standard deviations 3.5 and 5.2. The sample means were found to be 20.3 and 18.6. Test whether the means of the two populations are the same at 5% level. (The tabulated value of t at 5% level of significance for 22 degree of freedom is 2.0739)
- eWrite down the comparison between Latin Square Design and Randomized Block Design
Section CAttempt any one part of the following: 07 x 1 = 07
- aDetermine the distribution of temperature in the semi-infinite medium 0x when the end x = 0 is maintained at zero temperature and the initial distribution of temperature is F(x) using Fourier sine transform
- bFind the Fourier cosine transform of21
- aA manufacturer knows that the condensors he makes contain on an average 1% of defectives. He packs them in boxes of 100. What is the probability that a box picked at random will contain 4 or more faulty condensors? (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS-V
- bIf the heights of 300 students are normally distributed with mean 64.5 inches and standard deviation 3.3 inches, find the height below which 99% of the students lie. .49.0)327.2( ZP
- aUsing Lagrange’s interpolation formula, prove the following: )(2.0)(3.0 533531 yyyyyy nearly
- bUse Newton’s Divided Difference Method to find (6)f from the following data
- aFrom the following data, find whether hair colour and sex are associated: Colour / Fair Red Medium Dark Black Total Boys 592 849 504 119 36 2100 Girls 544 677 451 97 14 1783 Total 1136 1526 955 216 50 3883 ( 2 at 5 % level of significance for 4 degrees of freedom is 9.488 )
- bTwo independent sample of sizes 7 and 6 had the following values: Sample A 28 30 32 33 31 29 34 Sample B 29 30 30 24 27 28 (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS-V Examine whether the samples have been drawn from normal populations having the same variance. ( F at 5 % level of significance for 65 21 and 5 degrees of freedom is 4.39 ). Sample A 28 30 32 33 31 29 34 Sample B 29 30 30 24 27 28 % level of significance for 65 21 and 5 degrees of freedom is 4.39
- aA drilling machine bores holes with a mean diameter of 0.5230 cm and a standard deviation of 0.0032 cm. calculate the 2-sigma and 3-sigma upper and lower control limits for means of sample of 4
- bIf the average fraction defective of a large sample of a product is 0.1537. Calculate the control limits given that sub-group size is 2000
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)
2x
Find the Fourier cosine transform of21
Appeared in: 2023-24 · 2025-26
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