# ZS Set Theory Quiz -1

Question 1

Time: 00:00:00
A = { A, Q, P, L, M, Z, G }
B = { S, P, F, J, T, M }
C = { T, M, P, R}
Find the number of elements in $(A\cap B)\cup C$

3

3

4

4

5

5

6

6

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Question 2

Time: 00:00:00
Given that n((P x Q)$\cap$ (P x R)) = 4 and n(Q $\cap$ R) = 2. Then find the value of n(P)

1

1

2

2

4

4

8

8

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Question 3

Time: 00:00:00
The curve of a function f(x) = ax - 2 passes through (2, 6). Find $f^{-1}(x)$

$f^{-1}(x) = \frac{x+2}{6}$

$f^{-1}(x) = \frac{x+2}{6}$

$f^{-1}(x) = \frac{x-2}{6}$

$f^{-1}(x) = \frac{x-2}{6}$

$f^{-1}(x) = \frac{x+2}{4}$

$f^{-1}(x) = \frac{x+2}{4}$

$f^{-1}(x) = \frac{x-2}{4}$

$f^{-1}(x) = \frac{x-2}{4}$

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Question 4

Time: 00:00:00
In a classroom of 70 students, 35 students are fans of Cristiano Ronaldo. 55 Students say that Dhoni is their favourite Cricketer. Find the number of students who are fans of Ronaldo, and don't consider Dhoni as their favourite cricketer?

15

15

20

20

35

35

45

45

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Question 5

Time: 00:00:00
Find the number of two digit numbers divisible by 5 and 3, but not by 6

3

3

5

5

7

7

9

9

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Question 6

Time: 00:00:00
A survey was conducted on random people who visited a shopping mall. It was known that 60% of the people have debit cards. 45% have credit cards. One out of every 20 people does not hold any of these card. Find the percentage of people who holds both debit and credit cards

25%

25%

20%

20%

15%

15%

10%

10%

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Question 7

Time: 00:00:00
Let A, B and C be three sets. It is known that n(A) = 4, n(B) = 7 and n(C) = 5
Find the maximum possible number of elements in $(A\cup B)\cap (B\cup C)$

4

4

7

7

11

11

12

12

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Question 8

Time: 00:00:00
A and B are two sets such that A is set of all alphabets in the word ‘MISSISSIPPI’ and B is the set of all alphabets in the word ‘SIMPLIFY’ Find the number of words that can be formed using all the alphabets in set C = A $\cap$ B such that no letter repeats

16

16

120

120

6

6

24

24

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Question 9

Time: 00:00:00
A is the set of all prime numbers from 1 to 20. And B is the set of all numbers in Fibonacci series. Find the number of elements common in A X B and B X A

16

16

12

12

4

4

24

24

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Question 10

Time: 00:00:00
A function is given as f(p) = $2p^{2} - 3p + 9$. Find f(-2)

11

11

18

18

23

23

15

15

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