B.TechSemester 32023-24Mathematics IvBAS303

Mathematics Iv (BAS303) - AKTU Question Paper 2023-24

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 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech

Semester:Semester 3

Session:2023-24

University:AKTU / UPTU

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Questions Asked in 2023-24

Mathematics Iv (BAS303) — complete question paper · 70 marks · 3 Hours

Section AAttempt any one p a r t o f t h e f o l l o w i n g : 7 x 1 = 7

a
Determine the partial differential equation from the equation
b
Classify the following partial differential equation 26 0tt xt xx t xut u x u u u u   
c
Write the normal equations to fit the curve 0 cyc x x . 2 3
d
Find expected mean for the following probability distribution
e
If f(x) has probability density function as 1 0 ,4  x px then calculate p. 2 4
f
Explain null hypothesis. 2 5
g
Describe control limits of R-chart. 2 5 SECTION
a
Solve 22 2 2() () ( )y xy px xy q x y z . 7 1
b
Use separation of variables method to solve the equation subject to the boundary conditions u(0,y)= u(5,y)= u(x,0)=0 and u(x,b)= sin 5
c
The first four moments of a distribution about the value 5 o f the variable are 2, 20, 40 and 50. Comment upon the skewness and kurtosis of th e distribution
d
If X is a Poisson variate such that P(X=2)=9P(X=4)+90P(X=6), find the standard deviation
e
The mean life of 10 motors was found to be 1450hrs with S.D. o f 423hrs. A second sample of 17 motors chosen from a different ba tch showed a mean life of 1280hrs with a S.D. of 398hrs. Is there a significant difference between mean s o f t h e t w o s a m p l e s ? ( G i v e n SECTION
a
Solve the partial di fferential equation pxq y p q . 7 1
b
Solve: 22( 6 ) cos(2 )DD D D z x y   . 7 1
a
A tightly stretched string with fixed end points x=0 and x=2 is initially in a position given by 3sin 2 xy  . If it is released from rest from this position, find the displacement y(x,t). Solve the equation 2 ,0 , 0uu x ttx    under the conditions x xux x (iii)u(x,t) is bounded
a
Using the method of least square s to fit a curve of the form y=aebx to the following data
b
Two lines of regression are given by 22 5 0 and 2 3 8 0 and 12 xxy xy      Calculate (a)the mean values of x and y
b
variance of y (c) the coefficient of correlation between x and y
a
Out of 320 families with 5 children each, how many families would be expected to have (i) 2 boys and 3 girls (ii) at least one boy? Assume equal probability for boys and girls
b
The daily wages of 1000 worker s are distributed around a mea n of Rs.140 and with a standard deviat ion of Rs.10. estimate the num ber of workers whose daily wages will be (i)between Rs.140 and Rs.144 (ii)less than Rs.126 (iii)more than Rs.160
a
The following table gives the classification of 50 workers c orresponding to their gender and nature of the work. Discuss the nature of w ork is independent of the gender of the workers: skilled Un skilled Male 10 20 Female 25 20
b
In a manufacturing process, the number of defective items fo und in the inspection of 10 samples of the size 100 each. Construct np-chart and give your comments. Sample no. 1 2 3 4 5 6 7 8 9 10 No. of defectives 6 9 12 5 12 8 8 16 13 7

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.