CUET PG MCA Boolean Algebra Previous Year Questions (PYQs) – Page 1 of 2
Study Stuff for MCA Examinations
| List I | List II | ||
|---|---|---|---|
| A. | Dog : Rabies :: Mosquito : | I. | Bacteria |
| B. | Amnesia : Memory :: Paralysis : | II. | Liver |
| C. | Meningitis : Brain :: Cirrhosis : | III. | Movement |
| D. | Influenza : Virus :: Typhoid : | IV. | Malaria |
| LIST I | LIST II |
| A. (x+y)' | I. 1 |
| B. x+1 | II. x'+y' |
| C. (xy)' | III. x'.y' |
| D. x+0 | IV. x |
Solution
Solution
Solution
K-map (3 variables: A rows, BC columns in Gray order 00,01,11,10)
| A \ BC | 00 | 01 | 11 | 10 |
|---|---|---|---|---|
| A=0 | 0 | 0 | 1 | 0 |
| A=1 | 1 | 0 | 1 | 1 |
Groupings and terms:
- Cells (A=1, BC=11) & (A=1, BC=10) → pair → AB
- Cells (A=1, BC=00) & (A=1, BC=10) → pair → AC'
- Cells (A=0, BC=11) & (A=1, BC=11) → pair → BC
Simplified function: \(F = AB \;+\; AC' \;+\; BC\)
Correct option: 1) BC + AB + AC'
Solution
Solution:
(A) \(A + AB = A(1 + B) = A \cdot 1 = A\) (Absorption law) ✅
(B) \((A + B)' = A'B'\) (De Morgan’s law: complement of sum is product of complements) ✅
(C) \((A')' = A\) (Double complement law) ✅
(D) \((AB)' = A' + B'\) (De Morgan’s law: complement of product is sum of complements) ✅
Final Answer: All are true — (A), (B), (C), (D).
CUET PG MCA
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CUET PG MCA
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
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