Let A ={x : x∈ R, x greater than 4} and B ={x ∈ R : x less than }.Then, A∩B = Watch Solution
Let U be the universal set containing 700 elements. If A, B are subsets of U such that n(A) = 200, n(B) = 300 and n(A∩B) = 100, then A ∩B = Watch Solution
let a and b be two sets such that n (A) = 16, n(B) = 14, n(A∪B) = 25. Then, n(A∩B) is equal to Watch Solution
If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is Watch Solution
In set builder method the null set is represented by Watch Solution
If A and B are two disjoint sets , then n(A∪B) is equal to Watch Solution
If A and B are two given sets, that n(A) = 70, n(B) = 60, n(A∪B) = 110, then n(A∩B) is equal to Watch Solution
If A and B are two given sets then A∩(A∩B)^c is equal to Watch Solution
If A = {x : x is a multiple of 3} and , B = {x ; x is a multiple of 5}, then A – B is Watch Solution
In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. The, persons travelling by car or bus is Watch Solution
An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee and tea; 20 students take milk and coffee; and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee; 25 students take milk and ta; 20 students take coffee and; 12 students take milk only; 5 students take coffee only and 8 students take tea only. Then the number of student who did not take any of three drinks is Watch Solution
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of second set. Then, the value of m and n are: Watch Solution
In a class of 175 students the following data shows the number of students opting one ore more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Mathematics, Physic and Chemistry 18. How many students have offered Mathematic along? Watch Solution
Suppose A1,A2,….,A30 are thirty sets each having 5 element and B1,B2,…,Bn are n sets each with 3 elements, let 30Ui=1 = nUj=1 Bj=S and each element of S belongs to exactly 10 of the Ai’s and exactly 9 of the B’sj, then n is equal to Watch Solution
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The value of m and n are respectively Watch Solution
For any two sets A and B, A∩(A∪B)’ is equal to Watch Solution
Let F1 be the set of all parallelograms, F2 the set of all rectangles, F3 the set of all rhombuses, F4 the set of all squares and F5 the set of trapeziums in a plane. Then F1 may be equal to Watch Solution
If X = {8^n – 7n – 1: n ∈ N} and Y = (49n – 49 : n ∈ N). then Watch Solution
A survey shows that 63% of the people watch a news channel whereas 76% watch another channel . if x% of the people watch both channel then, Watch Solution
If sets A and B are defined as A = {(x, y): y =1/x, 0 ≠ x ∈ R}, B = {(x, y) : y = -x, x ∈R} then Watch Solution
Each set Xr ,contains 5 elements and each set Yr, contain 2 element and 20 U r=1 S=N u r=1 Y, if each elements of S belongs to exactly 10 of the Xr^s and to exactly 4 of the Yr^s then n is Watch Solution
Two finite sets have m and n elements respectively. The total number of subsets of first sets in 56 more than the total number of subsets of the second set. the value of m and n respectively are: Watch Solution
The set (A∪B∪C) ∩ (A∩B’∩C’)’ ∪ C’ is equal to Watch Solution
If A and B are two sets , then A ∩ (A ⋃ B) equals Watch Solution
let S = {x : x is a positive multiple of 3 less than 100} , P = {x : x is a prime less than 20} Then ,n(S) + n(P) is Watch Solution
In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 both. then the number of persons who rad neither is Watch Solution
In a class of 60 students, 25 students play cricket and 20 students play tennis and 10 students play both the games. Then the number of students who play neither is Watch Solution
Let S = the set of points inside the square, T = the set of points inside the triangle and C = The set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then, Watch Solution
