Test: Sets- 2 - CA Foundation MCQ

If f(x) = 1/1–x and g(x) = (x–1)/x, then g of(x) is

The function f(x) = 2^x is

The range of the function f(x) = log₁₀(1 + x) for the domain of real values of x when 0 ≤ x ≤9 is

The Inverse function f^–1 of f(x) = 2x is

If f(x) = x+3, g(x) = x², then fog(x) is

If f(x) = x+3, g(x) = x² then f(x).g(x) is

The Inverse h^–1 when h(x) = log₁₀x is

For the function h(x) = 10^1+x the domain of real values of x where 0 x 9 , the range is

"Is smaller than" over the set of eggs in a box is

"Is equal to" over the set of all rational numbers is

"has the same father as" …… over the set of children

"is perpendicular to " over the set of straight lines in a given plane is

"is the reciprocal of" …….. over the set of non-zero real numbers is

{(x, y)/x ∈ ×, y ∈ y, y = x} is

{(x,y)/x + y = 2x where x and y are positive integers}, is

"Is the square of" over n set of real numbers is

If A has 32 elements, B has 42 elements and AUB has 62 elements, the number of elements in A ∩ B is

In a group of 20 children, 8 drink tea but not coffee and 13 like tea. The number of children drinking coffee but not tea is

The number of subsets of the sets {6, 8, 11} is

The sets V = {x / x+2=0}, R={x / x²+2x=0} and S = {x : x²+x–2=0} are equal to one another if x is equal to

If the universal set E = {x |x is a positive integer <25} , A = {2, 6, 8, 14, 22}, B = {4, 8, 10, 14} then

If the set P has 3 elements, Q four and R two then the set P×Q×R contains

Given A = {2, 3}, B = {4, 5}, C = {5, 6} then A × (B ∩ C) is

A town has a total population of 50,000. Out of it 28,000 read the newspaper X and 23000 read Y while 4000 read both the papers. The number of persons not reading X and Y both is

If A = { 1, 2, 3, 5, 7} and B = {1, 3, 6, 10, 15}. Cardinal number of A~B is

Which of the diagram is graph of a function

At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Out of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. The number of women doctors attending the conference is