Question 1

If A B and B C can we say A C?

Question 1 options:

a)

Yes, we can say A C.

b)

No, we cannot say A C.

Question 2

A= {a, b, c}, B = { {a}, {b}. {c}}. Which of following is true?

Question 2 options:

a)

A = B

b)

a is a member of A but not a member of B

c)

a is a member of B

d)

c is the member of both A and B

Question 3

If there are 8 students from Los Angeles, 4 students from New York City, and 2 students from Seattle, and one student will be picked from each city to form a 3-person team, how many different teams can be formed?

Question 3 options:

a)

64 teams

b)

16 teams

c)

32 teams

d)

14 teams

Question 4

Let sets R, S, and T be defined as:

R = {all the numbers that are divisible by 2}

S = {all the numbers that are divisible by 3}

T = {all the numbers that are divisible by 6}

Question 4 options:

a)

S T

b)

T R

Question 5

Is {1} { 1, {1} } true?

Question 5 options:

a)

No, it is NOT true.

b)

Yes, it is true.

Question 6

Is {1} {1, {1} } true?

Question 6 options:

a)

Yes, it is true.

b)

No, it is NOT true.

Question 7

Is 3 {1, 2, 3} true?

Question 7 options:

a)

Yes, it is true.

b)

No, it is NOT true.

Question 8

Using the pin keypad in the picture, you can see that there are two letters on the number 1 key and three letters on 2 to 9 number keys. How many different PINs are represented by the same sequence of keys as 2181?

Question 8 options:

a)

24

b)

10

c)

1

d)

36

Question 9

Let A = {apple, pear, orange, grape}, B = {tomato, carrot, cauliflower}, and C = {apple, tomato, yam, grapefruit}.

Which of following is the correct?

Question 9 options:

a)

A C = {apple, grape}

b)

C - B = {apple, yam, grapefruit}

c)

A - C = {pear, orange}

d)

B C = {tomato, cauliflower, carrot, apple, yam}

Question 10

Let A = { a,b,c }, B = { b,c,d } and C = { b,c,e }. Find which of following is the answer for A (B C)?

Question 10 options:

a)

{b,c,e}

b)

A

c)

B

d)

{a, b, c, d}

Question 11

Let A = {a, b}, B = {x, y, z}, and C = {1, 2}.

Is (a, z, 2) A x B correct?

Question 11 options:

a)

No, it is not TRUE.

b)

Yes, it is TRUE.

Question 12

Which one of following is not TRUE?

Question 12 options:

a)

x {x}

b)

{x} {x}

c)

{x} {x}

d)

{x} { {x} }

Question 13

Let A = {a, b, c}, B= {b, c, d}, and C = {b, c, e}.

Is (A - B) - C = A - (B - C)?

Question 13 options:

a)

Yes

b)

No

Question 14

Let A = {x, y, z}, B = {y, z, w}, C = {y, z, v}. Which of following is correct?

Question 14 options:

a)

(A B) ( A C) = A (B C)

b)

(A B) (A C) = {y, z}

Question 15

Is 3 { 1, 2, {3} } true?

Question 15 options:

a)

Yes, it is true.

b)

No, it is NOT true.