Second Examination For GE 02-mathematics In The Modern World Part I

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. I will sleep early because I have a feeling that I will have a wonderful dream.________

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. Hat is to head as slippers are to feet.________

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. Independent: explanatory as dependent: response.________

Determine whether the given pair of numbers is a Function or Not.  (-3, 1), (-2, 2), (-1, 3), (0, 4), (1, 5)           

• Function

• Not Function

It refers to a set that contains all the elements considered in a particular situation.

• Subset 

• Equal set          

• Universal set     

• Proper subset

Which relation is described as a one-to-one correspondence and many-to-one correspondence?

• Logic    

• Set

• Binary function

• Function

Natural numbers ⊆ whole numbers

• True

• False

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. By looking at the color of the ripe mangoes, you can already tell the one sweeter than the other.________

If 2 sets A and B are given, then the set consisting of all the elements which are either in A or in B or in both is called

• Intersection of A and B

• Union of A and B

• Complement of A

• Complement of B

What do you call the process of gathering specific information usually done through observation and measurement?

• Analogy

• Deductive reasoning      

• Inductive reasoning

• Intuition

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. I know I will win a jackpot on this slot machine in the next 10 tries, because it has not paid out any money during the last 45 tries.________

Below are Polya’s Steps in Problem Solving. Which of the following follows the correct order of the           steps?                                              1 - Devise a Plan                                              2 – Look back                                              3 - Understand the Problem                                              4 - Carry out the Plan

• 1342    

• 3142    

• 3214    

• 4132 

0 ∈ ∅

• True

• False

Given: U = {1, 2, 3, 4, 5, 6 ,7 ,8}; A = {2, 4, 6, 8}; B = {1, 2, 3, 5, 7}; C = { 3, 4, 5, 6}.What is (A U B) U C?

• {2, 3, 4, 5, 6, 7}

• {1, 2, 3, 4}

• {∅}

• {1, 2, 3, 4, 5, 6, 7, 8}

Quadrilateral ⊆ polygon

• True

• False

It is a sentence that is either true or false.

• Proposition

• Logic    

• Predicate

• Contrapositive

Determine whether the given pair of numbers is a Function or Not. (2, 4), (0, 1), (-1, 3), (3, 5), (2, 6)

• Function

• Not Function

The range of R = {(0,2), (2,4),(3,4),(4, 5)} is

• {0, 2, 4, 5}

• {0, 2, 3, 4}

• {2, 4, 5}

• {3, 4 , 5}

Integers ⊆ natural numbers

• True

• False

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. Lhevie’s mother is a very good teacher. Lhevie will also become a very good teacher.________

Is a statement equivalent to the negation of a statement.

• Tautology          

• Denial

• Inverse

• Contrapositive

Which of the following sets is a universal set for the other four sets?

• The set of even natural numbers

• The set of odd natural numbers

• The set of natural numbers

• The set of integers

Which of the following is demonstrating the associative property of multiplication?

• 2(b+4) = 2b+8

• 2 x 1= 2

• 2 + (3+4) = (2+3) + 4

• A(b x c) = (a x b)c

{a} ∈ {d, e, f, a}

• True

• False

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. All fruits are nutritious. Apple is a fruit, therefore, it is nutritious.________

Whole numbers ⊆ natural numbers

• True

• False

If 3 = (9/3) and   (9/3) = (30/10) , then 3 = (30/10). What property of real numbers is being illustrated?

• Reflexive

• Symmetric

• Commutative

• Transitive

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. Christian drew five different triangles. He got the sum of the measures of the three angles of each triangle. He discovered that the sum of the measures of the three angles of any triangle is 180° .________

Tell whether each of the following is an Intuition, an Analogy, an Inductive or Deductive Reasoning. In the given, 1x9 = 9, 2x9 =18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45. In 18, 1+8 = 9, 2+7 = 9, 2+7 = 9, 3+6 = 9, 4+5 = 9.Therefore, the sum of the digits for the product of a natural number and 9 is 9.________

Which of the following sets are equivalent?

• {1, 2, 3, 4} & {2, 3, 4}

• { 9, 8 , 1} & { -1, 0, 1}

• {a, b, c, d} & {1, 2}

• All of the above

The number of elements in power set {1, 2, 3} are

• 5

• 6

• 7

• 8

 In comparing two fractions, with the same numerator, one said he can subtract numerator from the denominator and the smaller difference is the larger fraction. What kind of reasoning is being defined?

• Analogy

• Deductive reasoning

• Inductive reasoning

• Intuition

Which of the following is the contrapositive of the given statement: If a figure is a square, then it is a quadrilateral?

• If a figure is a quadrilateral, then it is a square.

• If a figure is not a quadrilateral, then it is not a square.

• If a figure is not a square, then it is not a quadrilateral.

• If a figure is a square, then it is not a quadrilateral.

Given: U = {1, 2, 3, 4, 5, 6 ,7 ,8}; A = {2, 4, 6, 8}; B = {1, 2, 3, 5, 7}; C = { 3, 4, 5, 6}. Find A’ – B?

• {2}

• { }

• {1, 2}    

• {1, 3, 5, 7}