CUET Boolean algebra Previous Year Question Paper and Solution with PDF

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CUET Previous Year Questions (PYQs)

CUET Boolean Algebra PYQ

Qus : 1 CUET PYQ

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

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CUET Previous Year PYQCUET CUET 2023 PYQ

Solution

Dog causes Rabies, Mosquito causes Malaria → A-IV

Amnesia affects Memory, Paralysis affects Movement → B-III

Meningitis affects Brain, Cirrhosis affects Liver → C-II

Influenza is caused by Virus, Typhoid is caused by Bacteria → D-I

Correct matching: A-IV, B-III, C-II, D-I

Qus : 2 CUET PYQ

Consider the following Karnaugh Map (K-map). Minimal Function generated by this Karnaugh map is?

1. $Q'S+P'Q$

2. $Q'S'+P'S'$

3. $P'Q''+P'S'+Q'S'$

4. $PQ+Q'S'+P'S'$

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CUET Previous Year PYQ CUET CUET 2025 PYQ

Solution

Qus : 3 CUET PYQ

If $w, x, y, z$ are Boolean variables, then which of the following is incorrect?

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CUET Previous Year PYQ CUET CUET 2023 PYQ

Solution

LHS:

$(w+y)(wxy + wyz)

= w(wxy+wyz) + y(wxy+wyz)

= wxy + wyz + wxy + wyz

= wxy + wyz$

So (4) is correct.

Checking option (3):

LHS simplifies to a term containing $y$, but RHS is $x\bar y$.

They are not equal, hence the identity is false.

Qus : 4 CUET PYQ

What should be the output of the following boolean expression after simplifying it to a minimum number of variables?

a'b'+ab+a'b

1. a+b'

2. a'+b

3. a'+b

4. a+b

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CUET Previous Year PYQ CUET CUET 2025 PYQ

Solution

$a'b' + ab + a'b$

$= a'(b' + b) + ab$

$= a' + ab$

$= a' + b$

$\boxed{a' + b \;\; }$

Qus : 5 CUET PYQ

The simplified form of the Boolean Expression AB+AB' is ______

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CUET Previous Year PYQ CUET CUET 2022 PYQ

Solution

Qus : 6 CUET PYQ

Match List I with List II :

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

Choose the correct answer from the options given below:

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CUET Previous Year PYQ CUET CUET 2022 PYQ

Solution

Qus : 7 CUET PYQ

The number of possible Boolean functions that can be defined for $n$ Boolean variables over $n$-valued Boolean algebra is ______.

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CUET Previous Year PYQ CUET CUET 2023 PYQ

Solution

There are $2^n$ input combinations and each can take $n$ values. Total functions $= n^{2^n}$.

Qus : 8 CUET PYQ

The complement of $ \overline{A + B} $ is

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CUET Previous Year PYQ CUET CUET MCA 2026 PYQ

Solution

Qus : 9 CUET PYQ

The function represented by the k-map given below is

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CUET Previous Year PYQ CUET CUET 2024 PYQ

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'

Qus : 10 CUET PYQ

Let A’ represent complement of A. Which of the following boolean expressions is/are true?

(A) A +AB=A

(B) (A+B)'= A'B'

(D) (AB)'= A'+B'

Choose the correct answer from the options given below:

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CUET Previous Year PYQ CUET CUET 2024 PYQ

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).

Qus : 11 CUET PYQ

The simplified form of Boolean expression:

$\overline{A}BC+ABC$ is

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CUET Previous Year PYQ CUET CUET 2022 PYQ

Solution

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