Mathematics Iv (BAS403) - AKTU Question Paper 2025-26
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 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 (BAS403) — complete question paper · 70 marks · 3 Hours
- aForm the partial differential equations from the following equation by eliminating the arbitrary function: ).(xyfyxz
- bFind the Complementary function part of the following PDE : .0252 22 zDDDD Find the Fourier transform of axxf ,0 axxf ,0
- dThe first two moments of a distribution about the value 2 of the variable are 1, 16. Find the first two moments about the mean
- eThe standard deviation of a symmetric distribution is 5. What must be the value of the fourth moment about the mean for mesokurtic distribution?
- fA continuous random variable X has a p.d.f. 10,3)( 2 xxxf . Find
- asuch that )()( aXPaXP
- gWrite the Degree of freedom for a qp contingency table
- aSolve the following first- order partial differential equation: .222 xyzqzxypyzx
- bA tightly stretched violin string of length l and fixed at both ends is plucked at 3 lx and assumes initially the shape of a triangle of heighta. Find the displacement yat any distance xand any time t after the string is released from rest
- cCalculate karl pearson’s coefficient of skewness for the following table: Income employees
- dIf X and Y are two random variables having joint density function: otherwise yxyxyxf Find (i) )31( YXP (ii) )3( YXP . otherwise yxyxyxf
- eSamples 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 (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS –IV 5% level.(The tabulated value of t at 5% level of significance for 22 degree of freedom is 2.0739)
- aSolve the following non homogeneous linear partial differential equation: .634)32)(1( yxzDDDD
- bSolve the following linear partial differential equation: .cos)6( 22 xyzDDDD
- aFind the inverse Fourier transform of .)( ypepf
- bFind the temperature in a bar of length 2 whose ends are kept at zero and lateral surface insulated if the initial temperature is 2 5sin32sin xx
- aFor 10 observations on price (x) and supply (y), the following data were obtained (in appropriate units): (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS –IV 5506,2288,220,130 22 yxyx and Obtain the two lines of regression and estimate the supply when the price is 16 units. 5506,2288,220,130 22 yxyx
- bFit a straight line bxay to the following data by least square method
- 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?
- 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 (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS –IV
- 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 )
- 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 — BAS403
Questions that appeared in more than one session, found by comparing 3 years of Mathematics Iv papers (2023-24, 2024-25, 2025-26)
The first two moments of a distribution about the value 2 of the variable are 1, 16. Find the first two moments about the mean
Appeared in: 2024-25 · 2025-26
If X and Y are two random variables having joint density function: otherwise yxyxyxf Find (i) )31( YXP (ii) )3( YXP . otherwise yxyxyxf
Appeared in: 2024-25 · 2025-26
A 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?
Appeared in: 2024-25 · 2025-26
If 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 (SEM. IV) THEORY EXAMINATION 2025-26 MATHEMATICS –IV
Appeared in: 2024-25 · 2025-26
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