# Aptitude (Hughes Papers): Sample Questions 1 - 2 of 2

Examrace Placement Series prepares you for the toughest placement exams to top companies.

## Question number: 1

» Aptitude

Short Answer Question▾

### Write in Short

What is DeMorgan’s law?

### Explanation

- For two different sets or variables, A and B,

(A + B) ’ = A’B’………. (i)

(AB) ’ = A’ + B’………. . (ii)

- This law is applicable in Boolean algebra and set operations.
- Equation (i) says that complement of sum of two variables is equal to the product of the compliment of each variable.
- Equation (ii) says that compliment of the product of two variables is equal to the sum of compliment of each variable.

## Question number: 2

» Aptitude

Short Answer Question▾

### Write in Short

Simplify the Boolean expression:

### Explanation

One of the properties of Boolean algebra is

Applying same property in the given expression,