Universal Set

Q. If P = {multiples of 3 between 1 and 20} and Q = {even natural numbers upto 15}. Find the intersection of the two given set P and set Q.

1. P ∩ Q = {6, 18}.
2. P ∩ Q = {6, 12}.
3. P ∩ Q = {6, 6}.
4. P ∩ Q = {12, 12}.

Q. U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

set A = {1, 3, 4, 5, 9}

set B ={2, 4, 6, 7, 8}

What is A ∩ B ?

1. 4
2. 3
3. 6
4. 7

Q. If A = {2, 4 , 6}, then the universal set of A is ___________ .

1. $\{x:x\in W\}$
2. $\{x:x\in Z\}$
3. $\{x:x\in N\}$
4. None of the above.

Q. If the sets A and B are defined as
$A=\{x:x=2n,n\in N,n<100\}B=\{x:x=3n,n\in N,n<100\}$
then, the number of elements in A U B is

1. 165
2. 198
3. 99
4. \N

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set.

B = {1, 4, 6, 9, 10, 11, 12}

The set B^C is:

1. {1, 2, 8, 10, 14, 17}
2. {2, 8, 10, 14, 17}
3. {2, 8, 10, 14, 17}
4. Can't be determined

Q. If p1 p2 p3 pn are distinct odd prime numbers then p1p2p3pn +1 is always a

Q.

For universal set U, and sets A, B which are subsets of U, the following information is given.

n(U) = 36

n(A) = 12

n(B) = 10, n(A ∩ B) = 9

Then, the number of elements that are neither in A nor B is__

Q.

Prove that the squares of any terms of the sequence are not terms of the sequence.

Q. If $\frac{3+5+7+......+n\left(terms\right)}{5+8+11+.....+10\left(terms\right)}=7$, then the value of $n$ is

1. $35$
2. $37$
3. $40$
4. $36$

Q.

If the universal set U = {x : x non-negative integers) and A = { y : y $\in$ N } , find A’

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, Then, set A^C is

1. {2, 8, 10, 14, 17}

2. {2, 8, 10, 14, 17}

3. {1, 2, 8, 10, 14, 17}

4. Can't be determined

Q. Find the middle term of the A.P. $6,13,20,....,216$.

Q.

If A = {2, 3, 4} and n represents any element of A, then write the following sets containing all numbers represented by
a) 4n – 1
b) 3(n – 1)

Q. counting numbers of objects, for example 4 balls and 10 eggs have 1) one and two significant figures respectively 2) one significant figures in both 3) infinite significant figures in both 4) two significant figures in both

Q. Using the Venn diagram given below, find the universal set.

1. $U$= {1, 2, 3, 5, 6, 9}
2. $U$= {1, 2, 3, 4, 5, 6, 7, 8, 9}
3. $U$ = {4, 7, 8}
4. $U$ = {1, 2, 4, 7, 8}

Q. A Universal Set is the set of all elements under consideration, denoted by U. All other sets are subsets of the universal set.

1. True
2. False

Q.

If f = {(1, 2), (2, b), (3, c)} is a constant function, find the values of b and c.

Q. What is the set that represents the universal set?

1. {12, 14, 15, 18, 21}
2. {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}
3. {10, 11, 12, 14, 15, 18, 21}
4. {21}

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set

and some set A = {1, 4, 6, 9, 11, 12}

The set A^C is

1. {1, 2, 8, 10, 14, 17}

2. {2, 8, 10, 14, 17}

3. {2, 8, 10, 14, 17}

4. Can't be determined

Q. 34. Which of the folowing numbers is the fourth power of a natural number ? i) 6765201 ii) 6765206 iii) 6765207 iv) 6765209

Q. A set which contains all the sets under consideration as its subsets is called a _______________.

1. subset
2. null set
3. universal set
4. complement set

Q. This is a number 4.4536678e+12. What does e means here? How can we express this in the form of number without using e?