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 = $n^{2}$ , where n ∈ N}

A = {x : x = $n^{3.5}$ , 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

7

9

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

120

6

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

7

4

9

Question 6

Time: 00:00:00

Which of the following is an odd function?

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

f(x) = $e^{x}$

f(x) = sec(x)

$f(x) = -x^{5}$

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

39

33

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: