MCASemester 32025-26Elementary Mathematics Bridge CourseBMC304

Elementary Mathematics Bridge Course (BMC304) - AKTU Question Paper 2025-26

MCA · Semester 3 · Free PDF Download

This is the official AKTU Elementary Mathematics Bridge Course Previous Year Question Paper for MCA Semester 3, academic session 2025-26. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:MCA

Semester:Semester 3

Session:2025-26

University:AKTU / UPTU

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Questions Asked in 2025-26

Elementary Mathematics Bridge Course (BMC304) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 02 x 7 = 14

a
Define rank of a matrix
b
S If A={1,2,3}, B={2,3,4}, find A∪B
c
Find mean of: 2, 4, 6, 8, 10
e
Differentiate y = x4 − 3x + 7
f
Find LCM of 12 and 18
g
If f(x) = 2x+1, find f(3) and f(−2)

Section BAttempt any three of the following: 07 x 3 = 21

a
Find the H.C.F. and L.C.M. of 180 and 252 using the Euclidean Algorithm
b
Find the inverse of the matrix using elementary transformations: [2 1
c
Find maxima/minima of y = x3 −3x3 +1
d
For data: 10, 12, 15, 18, 20, 22, 25, 30 — compute mean, median, mode
e
Differentiate: y = x3 −4x2 + 5x – 6. Find the slope of the tangent at x = 1

Section CAttempt any one part of the following: 07 x 1 = 07

a
Explain addition and multiplication theorems of probability with examples
b
Two dice are thrown. Find probability of: (i) sum 7, (ii) at least one 6
a
Define arithmetic progression. Find 10th term of A.P.: 3, 7, 11, …
b
Expand (2x−1)6 using Binomial theorem. Find coefficient of x4
a
If A={1,2,3,4}, B={3,4,5,6}, C={4,5}: find (i) A∪B, (ii) A∩B, (iii) (A∪B)−C, (iv) A−B
b
On the set A={1,2,3}, define a relation R= {(1,1),(2,2),(3,3),(1,2),(2,1)}
```
Check whether R is reflexive, symmetric, and transitive
```
a
Evaluate: (i) ∫(3x2+4x+1) dx, (ii) ∫xex dx
b
State L’Hospital’s Rule.Using L’Hospital’s rule evaluate lim
a
Find the eigen values of : [4 1 Find the determinant of : [

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.

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