chapter 1 miscellaneous sets ncert cbse
13. In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many
students were taking neither tea nor coffee?
let A =set of students taking tea
B = set of students taking coffee
U = universal set
n(U) =600
n(A) = 150
n(B) =225
n(A intersection B) =100
n(A union B) = n(A) + n(B) - n(A intersection B)
= 150 + 225 -100 =275
number of students were taking neither tea nor coffee
= n(U) - n(A union B)
= 600 -275
=325
14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?
let A = set of students who know hindi
B = set of students who know english
n(A) =100
n(B) = 50
n(A intersection B) =25
n(A union B) = n(A) + n(B) - n(A intersection B)
=100 + 50 -25 = 125
=================================================
chapter 1 miscellaneous sets ncert cbse
13.
In a survey of 600 students in a school, 150 students were found to be
taking tea and 225 taking coffee, 100 were taking both tea and coffee.
Find how many
students were taking neither tea nor coffee?
14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?
11th cbse ncert chapter 2 relations and functions miscellaneous exercise
12. Let A = {9,10,11,12,13} and let f : A → N be defined by f (n) = the highest prime factor of n. Find the range of f.
11. Let f be the subset of Z × Z defined by f = {(ab, a + b) : a, b ∈ Z}. Is f a
function from Z to Z? Justify your answer.
10. Let A ={1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5), (2,9), (3,1), (4,5), (2,11)}
Are the following true?
(i) f is a relation from A to B
(ii) f is a function from A to B.
Justify your answer in each case.
9. Let R be a relation from N to N defined by
R = {(a, b) : a, b ∈ N and a = (b^2) }.
Are the following true?
(i) (a,a) ∈ R, for all a ∈ N
(ii) (a,b) ∈ R, implies (b,a) ∈ R
(iii) (a,b) ∈ R, (b,c) ∈ R implies (a,c) ∈ R.
8. Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by
f(x) = ax + b, for some integers a, b. Determine a, b.
disclaimer:
There is no guarantee about the data/information on this site. You use
the data/information at your own risk. You use the advertisements
displayed on this page at your own risk.We are not responsible for the
content of external internet sites. Some of the links may not work.
Your internet usage may be tracked by the advertising networks and other organizations using
tracking cookie and / or using other means
No comments:
Post a Comment
please leave your comments