Mathematics-IV (BAS303) AKTU predicted paper 2026-27
AI-predicted paper for Mathematics-IV based on 10 past papers (2021, 2022, 2023, 2024, 2025, 2026). NOT an official AKTU paper. Use as a revision tool only.
Paper pattern
- Section A: Attempt all questions. (14 marks)
- Section B: Attempt any THREE questions out of five. (21 marks)
- Section C: Attempt ONE question from each pair (a or b). (35 marks)
Why these questions
- Unit 4 (Statistical Techniques II) dominates — 21% avg weightage
- Asked every year: Lagrange's Linear PDE Method, Higher Order Linear PDE
- Due for comeback: Correlation and Rank Correlation
- Most repeated topic: Heat and Wave Equations
Section A – 2-mark questions
- What is the auxiliary equation of Charpit Method?
- Classify the following Partial Differential Equation 4∂²u/∂x² - 4∂²u/∂x∂y = 0
- Define the coefficient of skewness based on moments.
- The random variable X follows the Normal distribution with mean 9 and standard deviation 3. Find x* such that P(X > x*) = 0.16.
- Discuss (in brief) Control Charts.
- Define a probability density function (p.d.f.) and state its two properties.
- Write a short note on Fourier Transform and Inverse.
Section B – sample questions
- Distinguish between the np-chart and p-chart. Following is the data of defective of 10 samples of size 100 each. Construct np chart and examine whether the process is in statistical control? 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
- A string is stretched and fastened to two points l apart, motion is started by displacing the string into the form y = k(lx – x²) from which it is released at time t=0. Find the displacement of any point on the string at a distance of x from one end at time t.
- Calculate 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, Students: 1 6 10 15 11 7 10.