B.TechSemester 42021-22Maths IvKAS402
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Maths Iv (KAS402) - AKTU Question Paper 2021-22

B.Tech · Semester 4 · Free PDF Download

This is the official AKTU Maths Iv Previous Year Question Paper for B.Tech Semester 4, academic session 2021-22. 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:2021-22
University:AKTU / UPTU

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Questions Asked in 2021-22

Maths Iv (KAS402) — complete question paper

Section AAttempt All of the following Questions in brief Marks (10X2=20) CO
  • a
    Solve the partial differential equation 1 qp 1
  • b
    Calculate particular Integral (P.I.) of ሺ𝐷 െ 3𝐷′ ൅ 2ሻ𝑧 ൌ 𝑒௫ାଶ௬ 1
  • c
    Tell the classification of the following partial differen tial equation
  • d
    Write down the two-dimensional wave equation. 2
  • e
    Calculate the moment generating function of the negative exponential function 0,;)(     xexf x
  • f
    If Regression Coefficients are 0.8 and 0.8,what would be the value of coefficient of correlation?
  • g
    A die is tossed twice, A success is getting 2 or 3 on a toss. Calculate mean 4
  • h
    Write Statement of Baye’s theorem. 4 Q1(i) When we use F-test. 5 Q1(j) Explain one-way ANOVA classification. 5
Section BAttempt ANY THREE of the following Questions Marks (3X10=30) CO
  • a
    Solve the following partial differential equation by Charpit Method: pqqypx  1 Determine the solution of one dimensional heat equation 2  where the boundary conditions are conditioninitialtheandttlutu )0(,0),(,0),0(  .:sin3)0,( bartheoflengththebeingll xxu 
  • c
    From the following data, d etermine the equations of line of regression of y on x and x on y
  • d
    In a test on 2000 electric bulbs, it was found that the l ife of a particular make, was normally distributed with an average life of 2040 hours and S.D of 60 hours. Calculate the number of bulbs likely to burn for: (i) More than 2150 hours, (ii) less than 1950 hours (iii) between 1920 hours and 2160 hours?
  • e
    The 9 items of a sample have the following values: 45,47,50,52,48,47,49,53,51. Does the mean of these values differ significantly from the assumed mean 47.5? [The tabulated value of 05.0t =2.31 for 8 d.f]
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
  • b
    Use Cauchy’s method of cha racteristics to solve the first order partial differential equation
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
  • a
    Solve the following par tial differential equation by method of separation of variables: Determine the solution of Laplace equation 02 u subject to the boundary conditions 𝑢ሺ0, 𝑦ሻ ൌ𝑢 ሺ𝑙, 𝑦ሻ ൌ𝑢 ሺ𝑥, 0ሻ ൌ0 𝑎 𝑛 𝑑 𝑢ሺ𝑥, 𝑎ሻ ൌ )(xf
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
  • a
    Compute skewness and Kurtosis,if the first four moments o f a frequency distribution about the value 4 of the variable are 1,4,10 and 45. Use the method of least squares to fit the curve cxcy 1 0  for the following data
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
  • a
    Two urns contain 4 white ,6 blue and 4 white, 5 blue bal ls respectively. One of the urns is selected at random and a ball is drawn from it. If the ball drawn is white. What is the probability that it was drawn from the (i) first urn (ii) second urn
  • b
    The follwing table gives the no.of days in a 50 day peri od during which automobile accidents occured in a city. No. of accidents 0 1 2 3 4 No. of days 21 18 7 3 1 Fit a Poisson distribution to the data and calculate the theoretical frequencies
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
  • a
    The demand for a particular spare part in a factory was found to vary from day- to -day. In
  • a
    sample study the following information was obtained 2 -test to test the hypothesis that the number of parts demanded does not depend on the day of the week. [The value of ].507.112 05.0 fdfor . Days Mon Tue Wed Thurs Fri Sat No. of parts demanded
  • b
    Following is the data of defectives of 10 samples of s ize 100 each. Construct p-chart and state whether the process is in statistical control. defectives

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 — KAS402

Questions that appeared in more than one session, found by comparing 2 years of Maths Iv papers (2021-22, 2022-23)

2x

Solve the partial differential equation 1 qp 1

Appeared in: 2021-22 · 2022-23

2x

Tell the classification of the following partial differen tial equation

Appeared in: 2021-22 · 2022-23

2x

Write down the two-dimensional wave equation. 2

Appeared in: 2021-22 · 2022-23

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