# Java MCQ Set-1 : Multiple Choice Questions in Java Set-1 1. Select the boolean expression that is not equivalent to x.x + x.x’

1. x .(x + x’)
2. (x  + x’).x
3. x’
4. x

2. Select the expression which is equivalent to x.y + x.y.z

1. x.y
2. x.z
3. y.z
4. x.y.z

Java MCQ Set-1 Explanation

3. Select the expression which is equivalent to (x+y).(x+y’)

1. y
2. y’
3. x
4. x’

4. Select the expression which is not equivalent to x.(x’+y)+y

1. x.x’+y.(1+x)
2. 0+x.y+y
3. x.y
4. y

Java MCQ Set-1 Explanation

5. Which of the following relationship represents the dual of the Boolean property x+x’y = x+y ?

1. x’(x+y’) = x’y’
2. x(x’y) = xy
3. x.x’ +y = xy
4. x’(xy’) = x’y’
5.  x(x’ + y) = xy

6. An equivalent representation for the Boolean expression A’ + 1 is:

1. A
2. A’
3. 0
4. 1

7. Simplify the Boolean expression (A+B+C) (D+E)’ + (A+B+C) (D+E) and predict the output:

1. A+B+C
2. D+E
3. A’B’C’
4. D’E’
5. None of the above

8. Express  the following Boolean function in sum of min-term canonical form:

1. f (A,B,C ) = ∑ m(1,3,5,6)
2. f (A,B,C ) = ∑ m(1,2,5,7)
3. f (A,B,C ) = ∑ m(2,5,6,7)
4. f (A,B,C ) = ∑ m(1,2,4,5)

9. State which of the following are logical statements :

1. Try to run fast.
2. Do not tell a lie.
3. India is the world T20 cricket champion
4. Why did you come late?