In this page set theory practice questions1 we are going to see some practice questions. For each questions you can find solution.
(1) If A ⊂ B,then show that A U B = B (use venn diagram) Solution
(2) If A ⊂ B, then find A ∩ B and A \ B (use venn diagram) Solution
(3) Let P = {a,b,c}, Q = {g,h,x,y} and R = {a,e,f,s}. Find the following
(i) P \ R (ii) Q ∩ R (iii) R \ (P ∩ Q) Solution
(4) If A = {4,6,7,8,9} , B = {2,4,6} and C = {1,2,3,4,5,6},then find
(i) A U (B ∩ C) (ii) A ∩ (B U C) (iii) A \ (C \ B) Solution
(5) Given A = {a,x,y,r,s}, B = {1,3,5,7,-10},verify the commutative property of set union. Solution
(6) Verify the commutative property of set intersection for A = {l,m,n,o,2,3,4,7} and B = {2,5,3,-2,m,n,o,p} Solution
(7) For A = {x|x is a prime factor of 42}, B ={x|5 < x ≤ 12, x ∈ N} and C = {1,4,5,6} verify A U (B U C) = (A U B) U C. Solution
(8) Given P = {a,b,c,d,e} Q = {a,e,i,o,u} and R ={a,c,e,g}. Verify the associative property of set intersection. Solution
(9) For A = {5,10,15,20} B = {6,10,12,18,24} and C ={7,10,12,14,21,28} verify whether A\ (B\C) = (A\B)\C. Justify your answer. Solution
(10) Let A = {-5,-3,-2,-1} B = {-2,-1,0} and C = {-6,-4,-2}. Find A\(B\C) and (A\B)\C. What can we conclude about set difference operation? Solution
(11) For A ={-3,-1,0,4,6,8,10} B = {-1,-2,3,4,5,6} and C = {-1,2,3,4,5,7},show that
(i) A U (B ∩ C) = (A U B) ∩ (A U C)
(ii) A ∩ (B U C) = (A ∩ B) U (A ∩ C) Solution
(iii) Verify using venn diagrams
Sets and Functions
Exercise 1.2 |
Exercise 1.4 |
Sequence and Series
Algebra
MATRIX
Exercise 4.2 |
Exercise 4.3 |
Coordinate Geometry
Exercise 5.3 | |||
Geometry
Trigonometry
Mensuration
Statistics
Probability
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
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
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6