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Mathematics
Intersection of sets
If A and B are two sets, $n\left( A-B \right)=8+2x$, $n\left( B-A \right)=6x$ and $n\left( A\cap B \right)=x$. If $n\left( A \right)=n\left( B \right)$, then $n\left( A\cap B \right)$
(a). 26
(b). 50
(c). 24
(d). None of these

Mathematics
Intersection of sets
Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number) . Then $n\left( X\cap Y \right)=$ :
1) 4
2) 6
3) 8
4) 12

Mathematics
Intersection of sets
If ${N_a}$ is equal to $\{ an:n \in N\}$, then find ${N_5} \cap {N_7}$
1). ${N_7}$
2). $N$
3). ${N_{35}}$
4). ${N_5}$

Mathematics
Intersection of sets
If we are given the sets $A=\left\{ 3,5,7,9,11 \right\},B=\left\{ 7,9,11,13 \right\},C=\left\{ 11,13,15 \right\}$ and $D=\left\{ 15,17 \right\}$, find $A\cap C$.

Mathematics
Intersection of sets
If we are given the sets as $A=\left\{ 2x:x\in N \right\}$, $B=\left\{ 3x:x\in N \right\}$ and $C=\left\{ 5x:x\in N \right\}$ then $\left( A\cap B\cap C \right)$ is equal to?
(a) {15, 30, 46, ……}
(b) {10, 20, 30, ……}
(c) {30, 60, 90, ……}
(d) {7, 14, 21, ……}

Mathematics
Intersection of sets
In a class, 60% of the students pass in Hindi, and 45% pass in Sanskrit. If 25% of them pass in both subjects, what percentage of the students fails in both subjects?
(a) 80%
(b) 20%
(c) 25%
(d) 75%

Mathematics
Intersection of sets
Let A and B be the two sets such that $n\left( A-B \right)=60+3x$, $n\left( B-A \right)=8x$ and $n\left( A\cap B \right)=x-4$ then draw a Venn diagram to illustrate this information. If $n\left( A \right)=n\left( B \right)$ then find
(a) The value of $x$
(b) $n\left( A\cup B \right)$

Mathematics
Intersection of sets
If $X = \{ a,b,c,d\}$and $Y = \left\{ {f,b,d,g} \right\}$ find
i.$X - Y$
ii.$Y - X$
iii.$X \cap Y$

Mathematics
Intersection of sets
In a group of 500 people, 310 can speak Hindi, 260 can speak English. How many people can speak both English and Hindi?
Mathematics
Intersection of sets
Find sets A,B and C such that $A\cap B$, $B\cap C$ and $A\cap C$ are non-empty sets and $A\cap B\cap C=\varnothing$.

Mathematics
Intersection of sets
If A = {x: x is a natural number}, B = {x: x is an even number}, C = {x: x is an odd number} and D = {x: x is a prime number}, find:
(i)A$\cap$B
(ii)A $\cap$C
(iii)A $\cap$D
(iv)B $\cap$C
(v)B $\cap$D
(vi)C $\cap$D

Mathematics
Intersection of sets
Complete the following statement
1. $A\cap B=B\Rightarrow B.......A$

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