Power Set

Q. The number of non-empty subsets of the set $\{1,2,3,4\}$ is ___.

1. 14
2. 15
3. 16
4. 17

Q.

If $A$ is a empty set then $n\left[P\right(P\left(P\right(A\left)\right)\left)\right]$ is:

1. $6$

2. $16$

3. $2$

4. $4$

Q. Aditya is a Class IX student residing in a village. One day, he went to a city Hospital along with his grandfather for general checkup. From there he visited three places - School, Library and Police Station. After returning to his village, he plotted a graph by taking Hospital as origin and marked three places on the graph as per his direction of movement and distance. The graph is shown below:

Distance between the school and police station is:

1. 4 units
2. 3 units
3. 2 units
4. 1 units

Q. How many elements are there in the power set of set $A$ = {{$\varphi$}, {$\varphi$, {$\varphi$}}}?

1. 3
2. 2
3. 4
4. 8

Q. Let A = {a, b}. Then, the power set of A is given by P(A) = ___.

1. {a, b}
2. {{a}, {b}, {a, b} }
3. {{a}, {b}}
4. {{}, {a}, {b}, {a, b} }

Q. 4. THE VALUE OF(1/27)raise to the power-2/3 is?

Q. Let $S=\{0,1,5,4,7\}.$ Then, the total number of subsets of S is ___.

1. 64
2. 32
3. 40
4. 20

Q. The power set of a singleton set has elements in all.

1. $1$
2. $0$
3. $2$
4. $4$

Q. Aditya is a Class IX student residing in a village. One day, he went to a city Hospital along with his grandfather for general checkup. From there he visited three places - School, Library and Police Station. After returning to his village, he plotted a graph by taking Hospital as origin and marked three places on the graph as per his direction of movement and distance. The graph is shown below:

What are the coordinates of School?

1. (3, 5)
2. (2, 3)
3. (3, 2)
4. (5, 3)

Q. Write the power set of $\{1,2\}$.

Q. Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

1. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, {-1, 0, 1}
2. {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}
3. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}
4. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$

Q.

For any two finite sets A and B

1. {3}

2. {1, 2, 3, 4}

3. {1, 2, 4, 5}

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

Q. The power set of $\{1,2\}$ is

1. $\left\{1\right\},\left\{2\right\}$
2. $\left\{\right\{1\},\{2\},\{1,2\left\}\right\}$
3. $\{1,2\}$
4. $\{\varnothing ,\{1\},\{2\},\{1,2\left\}\right\}$

Q. The power set of a singleton set has elements in all.

1. $4$
2. $0$
3. $1$
4. $2$

Q. The power set of a singleton set has elements in all.

1. $0$
2. $1$
3. $4$
4. $2$

Q. No of elements in the power set of set A are odd, them the no of elements in the set A are

1. 1
2. None of these
3. 3
4. 5

Q. If a set has $n$ elements, then it has subsets.

1. $2^{n-1}$
2. $2^n$
3. $2^n-1$
4. $n$

Q.

If a set has n elements, then it has ____ subsets.

1. $2^n$

2. $2^n-1$

3. n

4. $n^2$

Q. 27 to the power 1/5 + 27 to the power 6/5

Q. 48 The maximum number of real roots of the equation X to power 2n - 1 = 0 is . a. cannot exceed 2 b. 3 c. n d. 2