UTpaper

Free mock tests & test series

Question 33Asked in DSSSB TGT Computer Science (Technical), 1 Aug 2021, Shift 3

Simplify the following expression. (A + B + 1)·(A' + B' + 1)·(A + B + C)·(A' + B' + C')

Simplify the following expression. (A + B + 1)·(A' + B' + 1)·(A + B + C)·(A' + B' + C')
  1. A1
  2. B[(A + C)B'] + [(B + C)A'] + [(A + B)C']
  3. C[(A + C)B'] + [(B + C)A']
  4. DA + B + C
Show answerHide answer

Correct answer: (B) [(A + C)B'] + [(B + C)A'] + [(A + B)C']

Explanation

The first two factors are 1. (A + B + C)(A' + B' + C') is 0 only when A, B, C are all equal, which is what AB' + B'C + A'B + A'C + AC' + BC', i.e. option B, expresses.

From DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 3

This is question 33 of DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 3. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.