Question

Which of the following will result in a True value?

Answer 1

Answer:

1. 'NOT(TRUE AND FALSE) AND TRUE'

3. 'NOT (TRUE AND TRUE) OR TRUE'

Explanation:

We can go through each option to find out which statements will result in a 'TRUE' value.

1. 'NOT (TRUE AND FALSE) AND TRUE':

'TRUE AND FALSE' inside the parentheses will result in 'FALSE' since the Boolean operator 'AND' requires both terms to be 'TRUE' for the resulting value to become 'TRUE', otherwise it returns 'FALSE'.

'NOT (TRUE AND FALSE) AND TRUE' now becomes 'NOT FALSE AND TRUE'. The Boolean operator 'NOT' will return the opposite of the term given, so 'NOT FALSE' becomes 'TRUE'. This leaves us with 'TRUE AND TRUE' which returns 'TRUE'.

2. 'NOT (TRUE AND TRUE) AND TRUE':

'TRUE AND TRUE' inside the parentheses will result in 'TRUE', leaving us with 'NOT TRUE AND TRUE'. 'NOT TRUE' will give us 'FALSE', resulting in 'FALSE AND TRUE'. The resulting value of 'FALSE AND TRUE' is 'FALSE'.

3. 'NOT (TRUE AND TRUE) OR TRUE':

Again, 'TRUE AND TRUE' inside the parentheses will result in 'TRUE', leaving us with NOT TRUE OR TRUE'. The Boolean operator 'OR' requires only one term to be 'TRUE' for the resulting value to become 'TRUE'. This means that this statement will return 'TRUE'.

Hope this helps :)