BCA Numerical Methods Question Paper 2026 | TU 4th Semester (CACS 252)
This is the official BCA 4th semester Numerical Methods Final question paper (2026) shared for exam preparation. This question paper is provided to help students prepare for their examinations.
Tribhuvan University (TU)
Faculty of Humanities & Social Sciences
Office of the Dean
Year: 2026
Program: Bachelor in Computer Applications (BCA)
Course Title: Numerical Methods
Code No: CACS 252
Semester: IV
Full Marks: 60 | Pass Marks: 24 | Time: 3 Hours
Note: Candidates are required to answer the questions in their own words as far as possible.
GROUP B
Attempt any SIX questions [6 × 5 = 30]
| 2. | Explain different types of errors in numerical computation with examples. | [5] | ||||||||
| 3. | Apply Bisection Method to find a real root of x3 − x − 1 = 0 correct up to three decimal places. | [5] | ||||||||
| 4. |
Construct Lagrange’s interpolation polynomial for the data:
|
[5] | ||||||||
| 5. | Derive Newton’s forward interpolation formula. | [5] | ||||||||
| 6. |
Solve the following set of linear equations using Gauss Jordan method: x + y + z = 6 2x + 3y + z = 10 x + 2y + 3z = 13 |
[5] | ||||||||
| 7. | Solve dy/dx = x + y, y(0) = 1 using Euler’s method (h = 0.1) for x = 0.1. | [5] | ||||||||
| 8. | Apply Trapezoidal rule to evaluate a definite integral. | [5] |
GROUP C
Attempt any TWO questions [2 × 10 = 20]
| 9. | Explain Shooting Method for boundary value problems with algorithm. | [10] | ||||||||||
| 10. |
Fit a straight line y = ax + b to the following data using the Least Squares Method:
|
[10] | ||||||||||
| 11. | Differentiate between Interpolation and approximation with their significances. Derive the formula for Simpson’s (3/8) composite formula. | [10] |
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