(C) Let $C$ be the set of people travelling by car and $B$ be the set of people travelling by bus.Given: $n(C) = 20$,$n(B) = 50$,and $n(C \cap B) = 10

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(C) Let $C$ be the set of people travelling by car and $B$ be the set of people travelling by bus.Given: $n(C) = 20$,$n(B) = 50$,and $n(C \cap B) = 10$.We need to find the percentage of people travelling by car or bus,which is $n(C \cup B)$.Using the formula: $n(C \cup B) = n(C) + n(B) - n(C \cap B)$.Substituting the values: $n(C \cup B) = 20 + 50 - 10 = 60$.Hence,the required percentage is $60\%$.

Class 11 Mathematics Set Theory Word Problem - Set Theory

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In a city,$20\%$ of the population travels by car,$50\%$ travels by bus,and $10\%$ travels by both car and bus. Then,the percentage of persons travelling by car or bus is......$\%$

A
$80$
B
$40$
C
$60$
D
$70$

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Let $A = \{x : x \in R, |x| < 1\};$ $B = \{x : x \in R, |x - 1| \ge 1\}$ and $A \cup B = R - D,$ then the set $D$ is

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In a class of $60$ students,$25$ students play cricket and $20$ students play tennis,and $10$ students play both the games. The number of students who play neither is:

EasyKCET 2014

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There are exactly twelve Sundays in the period from January $1$ to March $31$ in a certain year. Then,the day corresponding to February $15$ in that year is

KVPY 2017

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Let $S$ be the set of the first $11$ natural numbers. Then the number of elements in $A = \{B \subseteq S : n(B) \ge 2 \text{ and the product of all elements of } B \text{ is even}\}$ is . . . . . . .

DifficultJEE MAIN 2026

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If $S$ and $T$ are two sets such that $S$ has $21$ elements,$T$ has $32$ elements,and $S \cap T$ has $11$ elements,how many elements does $S \cup T$ have?

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In a city,$20\%$ of the population travels by car,$50\%$ travels by bus,and $10\%$ travels by both car and bus. Then,the percentage of persons travelling by car or bus is......$\%$

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Let $A = \{x : x \in R, |x| < 1\};$ $B = \{x : x \in R, |x - 1| \ge 1\}$ and $A \cup B = R - D,$ then the set $D$ is

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