# Given: U = {Even numbers between 0 and 30}…

Posted by: 573 views

Latest posts by Admin (see all)

### The New Fashion Pyramid: Part 1/2

The New Fashion Pyramid: Part 1/2
QuizTablet Videos

## Given: U = {Even numbers between 0 and 30}, P = {Multiples of 6 between 0 and 30} Q = {Multiples of 4 between 0 and 30}, find (P U Q)’

• A. {0, 2, 6, 22, 26}
• B. {0, 10, 14, 22, 16}
• C. {2, 10, 14, 22, 26}
• D. {2, 4, 14, 18, 26}

C

## SOLUTION…

U = {Even numbers between 0 and 30} = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30}

P = {Multiples of 6 between 0 and 30} = {6, 12, 18, 24, 30}

Q = {Multiples of 4 between 0 and 30} = {4, 8, 12, 16, 20, 24, 28}

RELATED!  If Q is a factor of 18 and T is prime numbers between 2 and 18...

(P U Q) = union/combination of P and Q = {4, 6, 8, 12, 16, 18, 20, 24, 28, 30},

(P U Q)’ = elements in the universal set ‘U’ which is not present in (P U Q) therefore,

(P U Q)’ = {2, 10, 14, 22, 26}

### Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is correct.
4. D is not the correct answer.

## KEY-POINTS…

• U = universal set,
• Even numbers are factors of 2,
• Complement of a set is another set that contains the elements that is present in the universal set but absent in the original set.

If you love our answers, you can login to comment and say hi to us at the comment section…