Test: Sets- 3 - CA Foundation MCQ

 If ƒ(x) = (a-x)^1/n, a > 0 and 'n' is a positive integer, then ƒ(ƒ(x)) = ________________.

Let A = {1,2,3}, then the relation R  = (1,1), (2,3), (2,2), (3,3), (1,2)} is:

The range of {(1,0), (2,0), (3,0), (4,0), (0,0)} is:

For a group of 200 persons, 100 are interested in music, 70 in photography and 40 in swimming, further more 40 are interested in both music and photography, 30 in both music and swimming, 20 in photography and swimming and 10 in all the three. How many are interested in photography but not in music and swimming?

 The number of elements in range of constant function is

The range of the function f : N → N; f(x) = (-1)^x-1, is

The set {x | 0 < x < 5} represents the set when x may take integral values only

If ƒ(x) = x+2, g(x) = 7*, than g of(x) = __________.

Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?

Which of the following is a subset of set {1, 2, 3, 4}? 

 If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B is 

Let R be a non-empty relation on a collection of sets defined by ARB if and only if A ∩ B = Ø Then (pick the TRUE statement)

f(x)  = 3+x , for -3 < x < 0 and 3 - 2x for 0 < x < 3, then value of f(2) will be

On the set of lines, being perpendicular is a ___________relation.

Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in aggregate but not in group-I and group-II?

Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. Find out how many failed in all the three. 

For any two sets A and B the set (A∪B')' is Equal to (where' denotes compliment of the set)

Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in group-II but not in group-I?

Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in group 

There are 40 students, 30 of them passed in English, 25 of them passed in Maths nd 15 of them passed in both. Assuming that every Student has passed at least in one subject. How many students's passed in English only bot not in Maths.

 Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in the aggregate but not in group-II?

Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in aggregate or group-II but not in group-I?

If A = {± 2, ± 3}, B = {1,4,9} and F = {(2,4), (-2,4), (3,9) , (-3,4)} then the 'F' is defined as:

Out of total 150 students 45 passed in Accounts 50 in Maths. 30 in Costing 30 in both Account and Maths. 32 in both Maths and Costing 35 in both Accounts and Costing. 25 students passed in all the three subjects. Find the number who passed at least in any one of the subjects.

 If A has 32 elements B has 42 elements and A∪B has 62 elements find the number of elements in A∩B

Out of a total population of 50000 only 28000 read Telegraph and 23000 read Times of India while 4000 read the both. How many do not read any paper?

Out of 60 students 25 failed in paper (1), 24 in paper (2), 32 in paper (3), 9 in paper (1), alone 6 in paper (2), alone 5 in papers (2), and (3), and 3 in papers (1), and (2). Find how many passed in all the three papers?