Mathematics Iv (BAS303) - AKTU Question Paper 2025-26
B.Tech · Semester 3 · Free PDF Download
This is the official AKTU Mathematics Iv Previous Year Question Paper for B.Tech Semester 3, academic session 2025-26. 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 2025-26
Mathematics Iv (BAS303) — complete question paper · 70 marks · 3 Hours
- aWhat is a linear partial differential equation of first order? Write its general form
- bWrite the one-dimensional heat equation and mention the physical meaning of each term
- cDefine the coefficient of skewness based on moments
- dState Charpit’s method and mention when it is used
- eWhat is a control chart? Name any two types of control charts
- fDefine a probability density function (p.d.f.) and state its two properties
- gWhat is meant by regression line of 𝑌on 𝑋? 𝑌 (Regression line
- aSolve the linear partial differential equation (𝑦 + 𝑧) using Lagrange’s method
- bSolve the one -dimensional heat equation subject to the boundary conditions 𝑢(0, 𝑡) = 0, 𝑢(𝐿, 𝑡) = 0 and the initial condition 𝑢(𝑥, 0) = 𝑥(𝐿 − 𝑥) using the method of separation of variables
- cThe following data relate to variables 𝑋and 𝑌: 𝑋 𝑌 Find the correlation coefficient and obtain the regression lines of 𝑌on 𝑋and 𝑋on 𝑌
- dThe lifetime of an electric bulb is normally distributed with mean 1200 hours and standard deviation 100 hours
- 1Find the probability that a bulb lasts (a) more than 1300 hours
- bbetween 1100 and 1250 hours
- 2Out of 2000 bulbs, how many are expected to last more than 1400 hours? (Standard normal table values may be assumed.)
- eTwo independent random samples from two normal populations gave the following Test whether the difference between the sample means is significant at 5% level of
- aSolve the non-linear partial differential equation 𝑝2 + 𝑞2 = 𝑧 Where 𝑝 = ∂𝑦 using Charpit’s method
- bSolve the partial differential equation
- aSolve the wave equation subject to 𝑢(0, 𝑡) = 0, 𝑢(𝐿, 𝑡) = 0, 𝑢(𝑥, 0) = sin
- bUsing the Fourier transform method, solve the partial differential equation subject to the initial condition
- aThe following data give the frequency distribution of a variable 𝑋: Find the first four moments about the mean and hence determine the coefficients of skewness and kurtosis
- bFit a parabola of the form to the data
- aThe number of typing errors per page in a book follows a Poisson distribution with mean 2
- 1Find the probability that a randomly chosen page has
- ano error (b) at most two errors
- 2If a book has 500 pages, estimate the expected number of pages with exactly three errors
- bA discrete random variable 𝑋 has the following probability distribution
- aThe following table shows the distribution of students according to gender and preference of subject Science Female Test at 5% level of significance whether gender and subject preference are independent
- bFive samples, each of size 4, were taken from a production process. The sample means and ranges are given below : Construct X̄ -chart and R -chart and comment on whether the process is under control. Given
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 — BAS303
Questions that appeared in more than one session, found by comparing 3 years of Mathematics Iv papers (2023-24, 2024-25, 2025-26)
Solve the partial differential equation
Appeared in: 2023-24 · 2025-26
A discrete random variable 𝑋 has the following probability distribution
Appeared in: 2023-24 · 2025-26
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