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WorksheetsMIDTERM GED 102
Total questions: 70
Worksheet time: 7hrs 39mins
Which of the following is the correct mathematical translation for an expression; “the square of the sum of the square of two numbers”?
(a + b)2
(a2 + b2 )2
a2 + b2
2(a + b)2
Which of the following is the correct translation to an English expression for a mathematical expression; x3 + y3?
The sum of two numbers
The cube of the sum of two numbers
The sum of the cube of two numbers
Two numbers raised to the third power
Given a function C(t) = 2t3 – 3t whose domain is {0, 2, 4,}, what is its range?
{0, 10, 116}
{0, -10, -116}
{2, 12, 24}
{-2, -12, -24}
None of these
Acute angles in a right triangle is complementary. This is an example of?
Conjecture
Lemma
Theorem
Corollary
It is a process of using examples and observations to reach a conclusion.
Inductive reasoning
Deductive reasoning
Direct Proof
Indirect Proof
It is a sequence of statements that undergo a rigorous method of proving whose last statement is the conclusion to be proved from the previous statement.
Inductive reasoning
Deductive reasoning
Direct Proof
Indirect Proof
A case that satisfies the conditions of a conjecture but produces a different result.
Counterexample
Conjecture
Induction
Deduction
What type of reasoning is this?
All my family members uses money. John is a member of my family. Therefore, John uses money.
Deductive
Inductive
What type of reasoning is this?
My father and mother uses money. My sister and brother uses money. Therefore, all my family members uses money.
Deductive
Inductive
In induction reasoning, the conclusion is only probable.
True
False
The set of codes that we are using to encode the information
Cipher
Key
Encrypt
Plain text
Convert the plaintext "birthday" to ciphertext.
Clue: Plaintext character position + 3
(a)
The art of breaking, or cracking encrypted messages to discover the original message.
Encryption
Decryption
Cryptology
Cryptoanalysis
The art of translating messages into a form unreadable by all except an authorized entity.
(a)
The process of changing everyday language and changing it into a secret (private) form.
(a)
Convert the ciphertext "jnxlmbhg" to plaintext.
Clue: Cipher character position + 7
(a)
Symmetry that can be cut into two identical halves through any cut that runs through its center
Bilateral
Pentaradial
Radial
Spherical
Symmetry that divides one plane into two mirror images
Bilateral
Pentaradial
Radial
Spherical
It is believed that bees build hexagonal shaped nests so that they can maximize nest space and minimize cell perimeter.
True
False
No two snowflakes are the same, but all snowflakes exhibit hexagonal symmetry.
True
False
In a 15-hour clock, what is the result if we add 47 to 7?
(a)
The statement [(11 mod 8 ) x (15 mod 8)] mod 8 is equal to:
(a)
What is the correct equivalent code for letter H using the congruence c ≡ (p + m)mod 26, where m = 22?
A
B
C
D
Who is the card issuer if a card number has a prefix number of 37?
Master Card
Visa
American Express
Discover
What are the values of d so that 15(mod d ) = 3?
d = {4, 6, 12}
d = {8, 12, 24}
d = {2, 3, 6}
d = {5, 7, 13}
d = {4, 6, 12} and d = {6, 8, 13}
Find the domain of the function
4−3x(−∞, 4/3]
(−∞, -4/3], [4/3, ∞)
(4/3)
(−∞, -4/3]
None of these
If f : X → Y is a function, the second set Y is called the _________ of f.
co-range
domain
range
co-domain
Find the domain of the function
r(t)=6−t+34[−3, 33) ∪ (33, ∞)
[−3, 33)
[3, 33) ∪ (33, ∞)
[−, ∞ 3) ∪ (3,33)
None of these
It is the set of ordered pairs of real numbers (x, y) such that to each element x of the set X there corresponds at least one element of the set Y.
Function
Relation
Arrow Diagram
Subset
{Negative natural numbers} and {50th day of a month}
This is an example of ______.
equal set
equivalent set
null set
disjoint set
The following sets are empty except:
Set of counting numbers between 5 and 6.
Set of odd numbers between 7 and 19.
{x | x ∈ N and 3< x < 4}
{x | x ∈ N and x < 1}
If M and N are two overlapping sets then intersection of two sets M and N is an empty set.
True
False
If A = {a, b, c, d}, B = {c, d, e, f} and C = {b, d, f, g}
Is (A ∩ B) ∪ (A ∩ C) = A ∩ (B ∪ C)?
Yes
No
A survey of 50 Toyota drivers revealed the following: three drive Toyota because of the comfort; four drive Toyota because of the reliability; one drives a Toyota for both of these reasons. How many drive Toyota because of the comfort but not because of the reliability?
(a)
Which of the following diagrams indicates the best relation between Men, Fathers and Engineers?
Which of the following diagrams indicates the best relation between Classroom, Desk and School ?
There are two identical yellow lines drawn horizontally in a railway track. If you will be observing these two yellow lines, your mind tells you that upper yellow line looks longer that the below yellow line. This is called ___.
Ponzo Illusion
Crypt Illusion
Luhn Ilusion
Mirage Illusion
The patterns in pineapples and cabbages are natural and consistent at all times.
True
False
Which of the following statements is NOT true about mathematics as a tool?
It is not about crunching numbers, formulas, and symbols but rather, it is all about forming new ways to see problems so we can understand them by combining insights with imagination.
It allows us to perceive realities in different contexts that would otherwise be intangible to us.
It can be likened to our sense of sight and touch.
Mathematics is our sense to decipher patterns, relationships, and logical connections.
None
The food stand at the supermarket sells hotdogs in three sizes: small, super and jumbo. One day, cinema city sold 300 orders of hotdog, and ratio of small to super to jumbo was 18:17:15. How many orders of super size was sold?
90
85
75
80
The sum of the digits of a number of three digits is 18. The tens digit is thrice the hundreds digit. If 297 be subtracted from the number, the order of the digits will be reversed. Find the number.
(a)
Juan after working on a job for 2 hours was helped by Jose and it took 3 hours more for them working together to finish the job. Had they work together from the start, it would only require 4 hours to finish the job. How long would it take Juan to finish the job alone?
6 hours
7 hours
8 hours
9 hours
None of these
Six years ago, the sum of the ages of Adam and Vince is equal to 18. Four years from now, twice Vince's age is equal to Adam's age plus 28. How old is Vince?
(a)
What is the next figure in the sequence?
What is the next figure in the sequence?
What is the next figure in the sequence?
If today is a Saturday, what day will it be ninety days from now?
(a)
Arranging these letters, ADESEDA, will give you a _____.
city
sea
mountain
animal
lake
What are the next letters in the series?
AFK BGL CHM DIN ___
EOV
EOT
EJT
EJP
How many gallons of a 75% sugar solution must be mixed with 40 gallons of a 50% solution to obtain a solution that is 65% sugar?
Note: No need to put the unit in the final answer.
(a)
Find the value of x if (7-x), (x+8), and (2x+3) are consecutive terms of an arithmetic progression.
(a)
The sum of three numbers in an arithmetic progression is 45. If 2 is added to the first number, 3 to the second, and 7 to the third, the new numbers are in geometric progression. Find the smallest of the original three numbers.
10
15
20
25
None of these
Find the sum of the first ten terms of the progression 2, 6, 18, 54...
19683
39451
59048
25345
Find the 10th term of the harmonic progression 6/5, 4/3, 3/2,...
12
11
13
15
In a geometric sequence whose first element is 0.0001 and whose common ratio is 10, which element is 10,000?
8th
9th
10th
11th
A vendor has three items to offer, fish for P50/kilo, a fruit for P30/kilo and a candy for P1/piece. She has sold a total of 100 of the three items and has taken exactly P1000 on total sales. How many kilos of fish did she sell?
20
16
8
5
None of these
For a set A, the difference U - A , where U is the universe, is called the _________ of A and it is denoted by Ac.
joint
intersection
cartesian product
compliment
The following are properties of a relation except
reflexive
symmetric
asymmetric
transitive
The relation "is the sister of" is _________ on a set that contains a brother and sister but would be _________ on a set of females.
not symmetric, symmetric
symmetric, not symmetric
not symmetric, reflexive
reflexive, not symmetric
Which of the following is NOT an example of equivalence relation?
The equality ("=") relation between real numbers or sets
The relation "is similar to" on the set of all triangles
The relation "has the same birthday as" on the set of all human beings.
None
Three numbers whose sum is 42 are in geometric progression. If one is subtracted from the first, 3 from the second, and 7 to the third, the new numbers are in geometric progression. Find the numbers.
6, 12, 24
3, 9, 27
4, 12 , 36
5, 10, 20
A chemical engineer mixed 40 mL of 8% v HCl with 60 mL of 12% v HCl solution. He used a portion of this solution and replaced it with distilled water. If the solution tested is 5.2% v HCl, how much of the original mixture should be used?
60mL
50mL
40mL
30mL
Cesar saves P20 in the first week and each week thereafter saves P1 more than the preceding week. How much have he saved after the third month?
163
306
275
450
An engineer goes to the gym every 12 days and a nurse every 8 days. They are in gym exercising today. How many days will it be until they exercise together again?
Note: No need to put the unit "days"
(a)
The father can do a certain job in 9 days while his son can do the same job in 16 days. On a given day, they started working together, but after four days the son left and the father finished the job alone. How many more days did the father worked alone?
2
2.25
2.5
2.75
If the 4th term of a geometric progression is 216 and the 6th term is 1944, find the 8th term.
18692
17496
16486
21664
Which of the following set below features the natural numbers?
{1,2,3,4,5,...}
{0,1,2,3,4,5,...}
{-3,-2,-1,0,1,2,3,...}
{0,1/2,1/4,1/8,...}
There were two Calculus problems that came out in the latest licensure examination. How many were able to solve both problems if 50% of the solve the integral problem and 75% solve the differential problem? The total number of examinees is 2000.
250
500
750
600
None of these
If f(x) = x2 – 4x + 2 and g(x) = 3x – 7, find (f o g)(x) if x=-1.
174
168
142
136
None of these
It is the study of the principle of correct reasoning to determine the validity of one's argument.
(a)
