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Relations And Functions
Question
In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
Solution
Let A = set of people who can speak Hindi.
Let B = set of people who can speak English.
Number of people = 400 
...(i)
Number of people who can speak hindi = 250 
....(ii)
Number of people who can speak English = 200 
...(iii)
Number of people who can speak both Hindi and englsih = 
We know that 
∴ 
Hence, the number of people, who can speak both languages.
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Some More Questions From Relations and Functions Chapter
Collection of all the months of a year beginning with the letter J.
A team of eleven best cricket batsmen in the world.
Collection of ten most talented writers of India.
Collection of natural numbers between 100 and 200 (both inclusive).
Collection of all odd integers.
Collection of all divisors of 42.
Collection of beautiful girls in India.
Fill in the blanks in the following table:
|
Numbers |
Closed under |
|||
|
Addition |
Subtraction |
Multiplication |
Division |
|
|
Rational numbers |
Yes |
Yes |
No |
|
|
Integers |
Yes |
No |
||
|
Whole numbers |
... |
Yes |
||
|
Natural numbers |
No |
|||
i9 + i19
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