EXERCISE 1.6 | NCERT-CLASS 11TH-MATHS-NCERT-CHAPTER 1-SETS ||

Full exercise 1.6 has been solved in an easy and simple manner. It includes solution of questions from Question 1 to Question 8.

Questions:
00:00 Q1. If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X È Y ) = 38,
find n ( X Ç Y ).

01;23 Q2. If X and Y are two sets such that X È Y has 18 elements, X has 8 elements and
Y has 15 elements ; how many elements does X Ç Y have?

02:38 Q3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How
many people can speak both Hindi and English?

04:03 Q4. If S and T are two sets such that S has 21 elements, T has 32 elements, and S Ç T
has 11 elements, how many elements does S È T have?

05:11 Q5. If X and Y are two sets such that X has 40 elements, X È Y has 60 elements and
X Ç Y has 10 elements, how many elements does Y have?

06:11 Q6. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least
one of the two drinks. How many people like both coffee and tea?

07:22 Q7. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many
like tennis only and not cricket? How many like tennis?

09:20 Q8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both
Spanish and French. How many speak at least one of these two languages?