HirePro Set Theory Quiz-1

Question 1

Time: 00:00:00
Write the set A = {1, 1.414,15.58, 32, . . . } in set-builder form.

A = {x : x = n^{2.5} , where n ∈ N}

A = {x : x = n^{2.5} , where n ∈ N}

A = {x : x = n^{2} , where n ∈ N}

A = {x : x = n^{2} , where n ∈ N}

A = {x : x = n^{3.5} , where n ∈ N}

A = {x : x = n^{3.5} , where n ∈ N}

A = {x : x = n^{3} , where n ∈ N}

A = {x : x = n^{3} , where n ∈ N}

Question 2

Time: 00:00:00
Let A, B and C be three sets. It is known that n(A) = 3, n(B) = 6 and n(C) =4
Find the maximum possible number of elements in (A\cup B)\cap (B\cup C)

4

4

7

7

9

9

12

12

Question 3

Time: 00:00:00
A and B are two sets such that A is set of all alphabets in the word ‘ACCESS’ and B is the set of all alphabets in the word ‘SUCCESS’ Find the number of words that can be formedusing all the alphabets in set C = A \cap B such that no letter repeats.

16

16

120

120

6

6

24

24

Question 4

Time: 00:00:00
A is the set of all numbers in Fibonacci series and B is the set of all prime numbers from 5 to 20 and Find the number of elements common in A \times B and B \times A.

5

5

7

7

4

4

9

9

Question 5

Time: 00:00:00
A function is given as f(p) = 3 p^{2} - 4p + 10 . Find f(-2)

30

30

23

23

18

18

15

15

Question 6

Time: 00:00:00
Which of the following is an odd function?

f(x) = 2x^{2} - 8

f(x) = 2x^{2} - 8

f(x) = e^{x}

f(x) = e^{x}

f(x) = sec(x)

f(x) = sec(x)

f(x) = -x^{5}

f(x) = -x^{5}

Question 7

Time: 00:00:00
Rishi kapoor noticed that in a classroom of 60 students, 45% of students like Classical Music. 10% of the students like Both Classical and Western music. Find the number of students who like Western music

30

30

39

39

33

33

36

36

Question 8

Time: 00:00:00
Jim Gaffigan lives  in a  residential area where  30 % men own a laptop and 20% own a car, 55% men own neither a laptop nor a car. 1500 men own both a car and a laptop. Consider the following statements in this regard:

  1. 10% men own both a car and a laptop

  2. 35% men own either a car or a laptop

  3. 30,000 men live in the residential area

1 only

1 only

1 and 3

1 and 3

2 and 3

2 and 3

3 only

3 only

Question 9

Time: 00:00:00
Let A, B and C be 3 sets such that

A = { 1,5 ,6, 8, 10,11}
B = { 3, 5, 7, 6, 9 }
C = { 1, 8, 11 }

Which of the following is true?

C = A \cap B

C = A \cap B

C = A \cup B

C = A \cup B

n(A - B) > n(C)

n(A - B) > n(C)

C = A - B

C = A - B

Question 10

Time: 00:00:00
Which of the following is not a one-to-one function?

f(x) = 7x + 3

f(x) = 7x + 3

f(x) = \frac{2}{x}

f(x) = \frac{2}{x}

f(x) = 4x^{4} - 3x^{2} - 12

f(x) = 4x^{4} - 3x^{2} - 12

f(x) = tan(2x)

f(x) = tan(2x)

null
null
×

Please login to report