Match the following. List-1 (I) (X’)’ (II) (X + Y)’ = X’.Y’ (III) X(X + Y) = X…

2017

Match the following.

List-1

(I) (X’)’
(II) (X + Y)’ = X’.Y’
(III) X(X + Y) = X
(IV) X + YZ = (X + Y)(X + Z)

List-2

(A) De Morgan law
(B) Involution
(C) Distributive
(D) Absorption

  1. A.

    I – D, II – A, III – B, IV – C

  2. B.

    I – B, II – D, III – A, IV – C

  3. C.

    I – B, II – A, III – D, IV – C

  4. D.

    I – C, II – A, III – D, IV – B

Attempted by 139 students.

Show answer & explanation

Correct answer: C

Key idea: Identify the Boolean algebra law represented by each identity.

Step 1: (X’)’ = X is the Involution law, so I → B.

Step 2: (X + Y)’ = X’.Y’ is De Morgan law, so II → A.

Step 3: X(X + Y) = X is the Absorption law, so III → D.

Step 4: X + YZ = (X + Y)(X + Z) is the Distributive law, so IV → C.

Final Answer: I – B, II – A, III – D, IV – C.

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