SET THEORY PRACTICE QUESTIONS
(1) If A and B are two sets and U is the universal set such that
n(U) = 700, n(A) = 200, n(B) = 300 and n (A∩B) = 100
find n (A'∩B'). Solution
(2) Given
n(A) = 285, n(B) = 195, n(U) = 500, n(AUB) = 410,
find n(A'UB') Solution
(3) For any three sets A, B and C if
n(A) = 17, n(B) = 17, n(C) = 17, n(A∩B) = 7, n(B∩C) = 6, (A∩C) = 5 and n(A∩B ∩C). Solution
(4) Verify
n(AUBUC) = n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(A∩C)+n(A∩B∩C)
(i) A = {4, 5, 6},B = {5, 6, 7, 8} and C = {6, 7, 8, 9}
(ii) A = {a, b, c, d, e} B = {x, y, z} and C = {a, e, x} Solution
(5) In a college, 60 students enrolled in chemistry,40 in physics, 30 in biology, 15 in chemistry and physics, 10 in physics and biology, 5 in biology and chemistry. No one enrolled in all the three. Find how many are enrolled in at least one of the subjects. Solution
(6) In a town 85% of the people speak Tamil, 40% speak English and 20% speak Hindi. Also 32% speak English and Tamil, 13% speak Tamil and Hindi and 10% speak English and Hindi, find the percentage of people who can speak all the three languages. Solution
(7) An advertising agency finds that, of its 170 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines, 70 use all the three. Draw Venn diagram to represent these data. Find
(i) how many use only Radio?
(ii) how many use only Television?
(iii) how many use Television and Magazine but not radio? Solution
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Recent Articles
-
Simplifying Expressions Using the Properties of Exponents
Oct 19, 20 06:42 PM
Simplifying Expressions Using the Properties of Exponents
-
Exponential Form to Logarithmic Form Worksheet
Oct 19, 20 10:47 AM
Exponential Form to Logarithmic Form Worksheet
-
Exponential Form to Logarithmic Form
Oct 19, 20 10:45 AM
Exponential Form to Logarithmic Form - Concept - Examples
