Singleton Set

Q.

A set that has one and only one element is called ___.

1. a singleton set

2. a universal set

3. an infinite set

4. an empty set

Q. Which of the following is singleton set?

1. {x: x = 0}
2. {x: x < 6}
3. {x: 2 < x < 7}
4. {x: x < -2}

Q.

Which of the following sets are singleton sets?

1. The set of points of intersection of two parallel straight lines in the same plane.
2. $A=\{x:7x-3=11\}$
3. $B=\{y:2y+1<3andy\in W\}$
4. $C=\left\{\text{Set of even prime numbers greater than 2}\right\}$

Q.

The set of even prime number is a/an ____.

1. singleton set

2. empty set

3. equal set

4. infinite set

Q. Set $B=\{y:2y+1<3andy\in W\}$ is a/an ___ .

1. singleton set
2. empty set
3. infinite set
4. equal set

Q. If U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}, then (A ∪ B) ' =

1. {1, 6}
2. {2, 6}
3. {3, 6}

Q. Which of the following is singleton set?

1. {x: x < 6}
2. {x: x < -2}
3. {x: 2 < x < 7}
4. {x: x = 0}

Q. If S is the set of distinct values of b for which the folowing system of linear equations
$x+y+z=1$,
$x+ay+z=1$
and $ax+by+z=0$ has no solution, then S is

1. a empty set
2. an infinite set
3. a finite set containing two or more elements
4. singleton set

Q. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C.

1. {1, 2, 3, 4, 5, 7, 8}
2. {1, 2, 3, 4, 5, 6, 7}
3. {1, 2, 3, 4, 5, 6, 7, 8}
4. {1, 3, 4, 5, 6, 7, 8}

Q. If U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}, then (A ∪ B) ' =

1. {2, 6}
2. {3, 6}
3. {1, 6}

Q. Here, X and Y are disjoint sets.

1. True
2. False

Q.

$\text{If}U=\{x:x\in N\},$ $A=\{x:x=2n,n\in N\}$ and $B=\{x:x\text{is a prime number}\},$ then $A\cap B$ is a set with cardinality ________.

1. infinity

2. zero

3. one

4. two

Q.

If A = set of even prime numbers, then A is ____.

1. A null set

2. A singleton set

3. Not a set

4. An infinite set

Q.

The set A = {0} is a ___ .

Q. Which of the following is singleton set?

1. {x: x = 0}
2. {x: x < 6}
3. {x: 2 < x < 7}
4. {x: x < -2}

Q.

The set of even prime number is a/an ____.

1. empty set

2. singleton set

3. infinite set

4. equal set

Q.

The set of even prime number is a/an ____.

1. singleton set

2. equal set

3. empty set

4. infinite set