Subset

Q.

If X = $\{8^n-7n-1:n\in N\}andY=\left\{49\right(n-1):n\in N\}$ , then

1. 

2. 

3. None of these

4. X = Y

Q. Which set is the subset of all given sets

1. $\left\{0\right\}$
2. $\left\{\right\}$
3. $\{1,2,3,\mathrm{4...}\}$
4. $\left\{1\right\}$

Q. If P, Q and R are subsets of a set A, then $R\times (P^c\cup Q^c{)}^c=$

1. $(R\times Q)\cap (R\times P)$
2. $(R\times P)\cap (R\times Q)$
3. $(R\times P)\cup (R\times Q)$
4. $Noneofthese$

Q. Let A and B be subsets of a set X. Then

1. $A-B=A\cup B$
2. $A-B=A\cap B$
3. $A-B=A^c\cap B$
4. $A-B=A\cap B^c$

Q. If $X=8^n-7n-1,n\in NandY=49(n-1),n\in N$, then -

1. X ⊆ Y
2. Y ⊆ X
3. X = Y
4. None of these

Q. If $X=\{4^n-3n-1:nϵN\}andY=\left\{9\right(n-1):nϵN\}$, where N is the set of natural numbers, then $X\cup Y$is equal to:

1. Y
2. N
3. Y - X
4. X

Q.

If $X=\{8^n-7n-1|nϵN\}$ and $Y=\{49n-49|nϵN\}$, then

1. $X\subset Y$

2. $Y\subset X$

3. $X=Y$

4. $X\cap Y=\varphi$

Q. In a sports fest, a school awarded 58 medals in athletics, 20 medals for indoor games and 25 medals for outdoor games. If these medals were bagged by a total of 78 students and only 5 students got medals for all the three activities, then the number of students who received medals for exactly two of the three activities is

1. 30
2. 15
3. 20
4. 40

Q. If $X=\{x:x=8^n-7n-1|n\in N\}$ and $Y=\{y:y=49n-49|n\in N\}$

1. $X\subset Y$
2. $Y\subset X$
3. $X\cap Y=X$
4. $X\cap Y=Y$

Q. Let set $R=\{P:B\subseteq P\subseteq A\}$
If $A=\{1,2,3,4,5\}$ and $B=\{1,2\}$, then number of elements in set $R$ is

1. $2$
2. $4$
3. $8$
4. $16$