Mathematics Iv (BAS303) - AKTU Question Paper 2024-25
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 2024-25. 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 2024-25
Mathematics Iv (BAS303) — complete question paper · 70 marks · 3 Hours
- aSolve the PDE 𝑦𝑧𝑝 െ 𝑥𝑧𝑞 ൌ 𝑥𝑦
- bHow many arbitrary constants in the solution of 1- dimensional wave equation
- cThe first three moments of a distribution are 6,25, -41. Find the moment coefficient of skewness
- dFind p and q of Binomial distri bution whose mean is 9 and variance 9/4
- eExplain the probability density function
- fWhat do you mean of statistical quality control? İ
- gDefine the Null hypothesis
- aSolve: 𝑟െ4 𝑠4 𝑡𝑝െ2 𝑞ൌ𝑒௫ା௬ cos ሺ2𝑥 3𝑦ሻ
- bSolve by the method of s eparation of variables
- cThe two regression equations are 3𝑥 2𝑦 ൌ 26 𝑎𝑛𝑑 6𝑥 𝑦 ൌ 31.find (i) mean of x and y(ii)the correlation coefficient between x and y (iii) if variance of x=9 then find variance of y
- dIf Z is a standard normal variable, find the following proba bilities: P(Z<1.2) (ii) P(Z>-1.2) (iii) P(-1.2<Z<1.3
- eWhat are statistical quality control techniques? Discuss the objectives and advantages of SQC
- aSolve: ሺ𝑥ଶ െ𝑦 ଶ െ𝑦 𝑧ሻ𝑝 ሺ𝑥ଶ െ𝑦 ଶ െ𝑧 𝑥ሻ𝑞ൌ𝑧 ሺ 𝑥െ𝑦 ሻ
- bSolve: ሺ𝐷ଶ െ𝐷 𝐷ᇱ െ2 𝐷ᇱଶሻ𝑧 ൌ ሺ𝑦 െ 1ሻ𝑒௫
- aSolve the Laplace equation 𝑢ሺ𝑙, 𝑦ሻ ൌ𝑢 ሺ𝑥, 0ሻ ൌ0 And 𝑢ሺ𝑥, 𝑎ሻ ൌ𝑠 𝑖 𝑛
- bA string is stretched and fastened to two points l apart, mo tion is started by displacing the string into the form 𝑦ൌ𝑘 ሺ𝑙𝑥 െ 𝑥ଶሻ from which it is released at time t=0. Find the displacement of any point on the string at
- adistance of x from one end at time t
- aFit the curve 𝑦ൌ𝑎 𝑒௫
- bCalculate all four moments about mean and also skewness and kurtosis Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Stud. 1 6 10 15 11 7 10
- aIn a certain factory turning out razor blades, there is a small chance of 0.002 for any blade to be defective. The blades are supplied in packets of 10. Calculate the approx. no. of packets containing (i) no defective (ii) one defective (iii) two defective blades in a consignment of 10,000 packets
- bA die is tossed thrice. A success is getting 1 or 6 on a tos s. Find the mean and variance of the number of successes
- aTwo independent samples of 8 and 7 items respectively had the following values of the variables: Is the difference between the means of the sample significant? Samp Sam
- bBy using Chai-square test, find whether there is any associa tion between income level and type of schooling: Income Public school Govt.School Low 200 400 High 1000 400
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)
Define the Null hypothesis
Appeared in: 2023-24 · 2024-25
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