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Test: Sets- 3 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Sets- 3

Test: Sets- 3 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Sets- 3 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Sets- 3 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Sets- 3 below.
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Test: Sets- 3 - Question 1

On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.

Test: Sets- 3 - Question 2

In a class of 50 students, 35 opted for Mathematics and 37 opted for Commerce. The number of such students who opted for both Mathematics and Commerce are:

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Test: Sets- 3 - Question 3

Represent the following sets in set notation: - Set of all alphabets in English language, set of all odd integers less than 25, set of all odd integers, set of positive integers x satisfying the equation x2 + 5x + 7 = 0 :-

Test: Sets- 3 - Question 4

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

Detailed Solution for Test: Sets- 3 - Question 4

Test: Sets- 3 - Question 5

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

Test: Sets- 3 - Question 6

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

Test: Sets- 3 - Question 7

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?

Detailed Solution for Test: Sets- 3 - Question 7

Let

  1. Let P(Ph) is number of person interested in photography .
  2. Let P(s) is number of person interested in swimming.
  3. Let P(m) is number of person interested in music.

Given: 

P(ph)=70 , P(s)=40,P(m)=100

The persons who are interested in photography but not in music and swimming is given by

There are 20 persons who are interested in photography but not in music and swimming.

Test: Sets- 3 - Question 8

 The number of elements in range of constant function is

Test: Sets- 3 - Question 9

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

Test: Sets- 3 - Question 10

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

Test: Sets- 3 - Question 11

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

Test: Sets- 3 - Question 12

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?

Test: Sets- 3 - Question 13

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

Detailed Solution for Test: Sets- 3 - Question 13

The subset of set (1, 2, 3, 4} is {1, 2}, {1, 2, 3}, and {1}.

Test: Sets- 3 - Question 14

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

Test: Sets- 3 - Question 15

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)

Test: Sets- 3 - Question 16

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

Test: Sets- 3 - Question 17

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

Test: Sets- 3 - Question 18

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?

Test: Sets- 3 - Question 19

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. 

Test: Sets- 3 - Question 20

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

Test: Sets- 3 - Question 21

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?

Test: Sets- 3 - Question 22

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 

Test: Sets- 3 - Question 23

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.

Test: Sets- 3 - Question 24

 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?

Test: Sets- 3 - Question 25

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?

Test: Sets- 3 - Question 26

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

Test: Sets- 3 - Question 27

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.

Test: Sets- 3 - Question 28

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

Test: Sets- 3 - Question 29

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?

Test: Sets- 3 - Question 30

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?

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