NDA MATHEMATICS QUIZ - 13

In a certain city 30% of the population travels by city bus, 40% by metro rail and 10 percent by both metro rail and city bus. The percentage of people travelling by city bus or metro rail will be

If $X=\{x: x$ is a +ive multiple of 3 less than 100} and Y = {x : x is a prime number less then 20}. Then$n(\mathrm{X} \cup \mathrm{Y})$ is equal to -

If n(A) = 1200, n (B) = 500 and if $n(\mathrm{~A} \cap \mathrm{B}) =15$ $\geq$ and $n(A \cup B)$ = p then

If A and B be two sets then $B \cap(A \cap B)^{\prime}$ is equal to -

If A = $\{a, b, c, d\}$ The total number of unordered pairs of disjoint subsets of A=

The Number of proper subsets of the set A = $\{p, q, r, s\}$ will be -

If $A=\{1,2,3\} \quad ; B=\{2,3,4\}, \quad C=\{1,4,3\}$ Then $(A-B) \times(B \cap C)=$

If $n(U)=30 ; n(A)=15, n(B)=10$ $n(\mathrm{~A} \cap \mathrm{B})=5$ where $U$ is the universal set  then $n(\mathrm{~A} \cap \mathrm{B})^{\prime}$ =

In a class of 55 students number of students studying different subjects are 23 in English, 24 in political science and 19 in History; 12 in English and political science, 9 in English and History and 7 in political science and History and 4 in all the three subjects. The number of students who have taken exactly one subject is -

If the sets $X$, $Y$ and $Z$ are such that $X = Y \cap Z$ and $Y = Z\cap X$ then