1

1. If A is an infinite set and B is a subset of A, then B is also an infinite set.

   True

   False

1 points

QUESTION 2

1. The empty set is a subset of every set.

   True

   False

1 points

QUESTION 3

1. The set {2, 4, 8, 16, 32, ...} is a subset of {2, 4, 6, 8, 10, } .

   True

   False

1 points

QUESTION 4

1. If a number is divisible by 6 and by 7, it is also divisible by 42.

   True

   False

1 points

QUESTION 5

1. The sets {1, 2, 4, 6, 8, 10} and {6, 10, 4, 2, 1, 5} are

   1.	equal
   2.	equivalent
   3.	neither equal nor equivalent

1 points

QUESTION 6

1. The union of sets {f, g, h, i, k, } and {f, g, k, n, p} is

   1.	{f, k, n, p, i}
   2.	{g, k, l}
   3.	{f,g,h,i,k,n,p}

1 points

QUESTION 7

1. Simplify the expression 12 + 2(16 - 2²)² 3²(17 34)

   1.	-252
   2.	245
   3.	255
   4.	405

2 points

QUESTION 8

1. Which of these pairs of numbers are relatively prime?

   (i)39 and 51

   (ii)126 and 49

   (iii)153 and 35

   1.	(i) only
   2.	(ii) only
   3.	(ii) and (iii)
   4.	(iii) only

2 points

QUESTION 9

1. Which of the following is true?

   1.	A number is a symbol
   2.	A numeral is an idea
   3.	X (Roman numeral) and 10 represent the same number
   4.	All

1 points

QUESTION 10

1. 3_six+ 12_six=

   1.	15six
   2.	11six
   3.	12six

2 points

QUESTION 11

1. How many symbols do we need to use in order to write 674 in Roman numeration system?

   1.	5
   2.	6
   3.	7

1 points

QUESTION 12

1. Which of these sets are closed underaddition?

   (i) {0}

   (ii) {1, 2, 4, 6, 8, }

   (iii) {0, 1}

   (iv) {0, 3, 6, 9, 12, }

   1.	(i) and (iii)
   2.	(i) and (iv)
   3.	(ii) and (iii)
   4.	(ii) and (iv)

1 points

QUESTION 13

1. Which of the following sets is closed under multiplication?

   1.	{0,1,-1}
   2.	{0,2,3}
   3.	{1,2,3}

1 points

QUESTION 14

1. Find the LCM of 36 and 48. The sum of the digits of your answer is

   1.	16
   2.	9
   3.	3
   4.	None of the above

2 points

QUESTION 15

1. Which of the following does not divide 12345678?

   1.	8
   2.	9
   3.	6
   4.	none of the a, b,or c

2 points

QUESTION 16

1. How many factors does the number 120 have?

   1.	6
   2.	12
   3.	16
   4.	24

2 points

QUESTION 17

1. Which of the following numbers can be expressed as the sum of two composites?

   (i) 9

   (ii) 13

   (iii) 27

   1.	(i) and (ii) only
   2.	(i) and (iii) only
   3.	(ii) and (iii) only
   4.	None of the above

2 points

QUESTION 18

1. Which of the following cannot be true for whole numbers a and b?

   1.	GCF(a, b) < LCM(a, b)
   2.	GCF(a, b) LCM(a, b)
   3.	LCM(a, b) < GCF(a, b)

2 points

QUESTION 19

1. How many composites are larger than 20 but smaller than 30?

   a. 7

   b. 5

   c. 6

   d. None of a, b, or c.

   1.	7
   2.	5
   3.	6
   4.	None of the above

2 points

QUESTION 20

1. Find the GCF of 36 and 126. The sum of the digits of your answer is

   1.	9
   2.	6
   3.	12
   4.	None of a, b, or c