Mathematics –Iv (BAS403) - AKTU Question Paper 2023-24
B.Tech · Semester 4 · Free PDF Download
This is the official AKTU Mathematics –Iv 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 –Iv (BAS403) — complete question paper · 70 marks · 3 Hours
- aSolve the Partial Differential Equation
- bTell the classification of the following partial differential equation
- cWrite the formula for rank correlation in the case of tied ranks
- dCalculate the value of k for which function is probability density function
- eTwo coins are tossed simultaneously. What is the the probability (upto two decimal points accuracy) of getting at least one head . For the Binomial distribution + determine the mean
- gWrite the control limits of C charts
- aDetermine a real function V of x and y, reducing to zero when y=0 and satisfying MATHEMATICS –IV
- bA tightly stretched string with fixed end points x=0 and x=l is initially in a position given xyy 3 0 sin= . If it is released from rest from this position, Evaluate the displacement y(x, t). xyy 3 0 sin=
- cFrom the data given, determine the lines of regression
- dProve that Poisson distribution is as a limiting case of binomial distribution
- eDistinguish 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
- bBy using Charpit’s method to evaluate the solution of
- aDetermine the Fourier Transform of MATHEMATICS –IV
- bAn insulated rod of length l has its ends A and B maintained at 0oC and 1000C respectively until steady state conditions prevail. If B is suddenly reduced to 00C and maintained at 00C then determine the temperature at a distance x from A at time t
- aExamine the least square fit of the the following data
- bDetermine the skewness and kurtosis for the following data: (No. of students)
- aRecords taken of the number of male and female births in 800 families having four children are as follows: No. of male birth 0 1 2 3 4 No. of female birth No. of families 32 178 290 236 64 Test whether the data are consistent with the hypothesis that the binomial law holds and the chance of male birth is equal to that of female birth , namely p=q=1/2. No. of male birth No. of female birth No. of families 32 178 290 236 64
- bThe income of a group of 10,000 persons was found to be normally distributed with mean 750 Rs. per month and standard deviation of 50 Rs. Show that, of this group, about 95% had MATHEMATICS –IV income exceeding 668 Rs and only 5% had income exceeding 832 Rs. Also Determine the lowest income among the richest 100
- aThe height of 6 randomly chosen sailors in inches are 63, 65,68,69,71 and 72. Those of 9 randomly chosen soldiers are 61, 62,65,66,69,70,71,72 and 73. Test whether the sailors are on the average taller than soldiers
- bDiscuss whether there is any association between Area and pollution index of the city for which the data is given Area/Pollu.ind. high low Total Urban 150 350 500 Rural 250 350 600 Given that
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 — BAS403
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 · 2024-25
Mathematics –Iv — Other Year Papers
AKTU Mathematics –Iv PYQs from other sessions
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Syllabus & More PYQs
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