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CUET PG 2022 Computer PYQ — Match List I with List II Choose the correct answer from the opti… | Mathem Solvex

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CUET PG 2022 Computer PYQ — Match List I with List II Choose the correct answer from the opti… | Mathem Solvex | Mathem Solvex

Explanation

Step-by-Step Solution

A. $(x + y)'$ ka milan:

Yeh De Morgan's First Law hai. Iske mutabik, kisi sum ka complement unke individual complements ke product ke barabar hota hai.

\text{Formula: } (x + y)' = x' \cdot y'

Isliye, A ka milan III se hoga.

B. $x + 1$ ka milan:

Yeh Annulment Law (ya Identity Law ka extension) hai. Boolean algebra mein agar kisi bhi variable mein $1$ (True) ko add (OR) kiya jaye, toh result hamesha $1$ hi aata hai.

\text{Formula: } x + 1 = 1

Isliye, B ka milan I se hoga.

C. $(xy)'$ ka milan:

Yeh De Morgan's Second Law hai. Iske mutabik, kisi product ka complement unke individual complements ke sum ke barabar hota hai.

\text{Formula: } (x \cdot y)' = x' + y'

Isliye, C ka milan II se hoga.

D. $x + 0$ ka milan:

Yeh Identity Law hai. Kisi bhi variable mein $0$ (False) ko add (OR) karne par us variable ki identity nahi badalti.

\text{Formula: } x + 0 = x

Isliye, D ka milan IV se hoga.

Final Answer (Matching Result)

Sahi matching niche di gayi table ke anusar hai:

List I	List II	Law Ka Naam
A. $(x + y)'$	III. $x' \cdot y'$	De Morgan's Law
B. $x + 1$	I. $1$	Annulment Law
C. $(xy)'$	II. $x' + y'$	De Morgan's Law
D. $x + 0$	IV. $x$	Identity Law

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

CUET PG 2022 — Computer PYQ

Choose the correct answer:

Explanation

Step-by-Step Solution

Final Answer (Matching Result)

Explanation

Step-by-Step Solution

Final Answer (Matching Result)