問題一覧
1
For a given functlon, It Is found that f(t) = f(-t). What type of symmetry does f(1) have?
even symmetry
2
Which number has four significant figures?
B.0.01414
3
Naperlan logarithm have a base closest to which number?
B. 2.72
4
If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is
B. a sinusold
5
To find the angle of a triangle, given only the lengths of the sides, one would use A. the law of cosines B. the law of sines C. the law of tangents D. the Inverse-square law
A. the law of cosines
6
Which Is true regarding the signs of the natural functions for angles between 90° and 180°?
C. The cosine Is negative
7
What Is the Inverse natural function of the cosecant?
B. sine
8
The graphical presentation of a cumulative frequency distribution in a set of statistical data is called
D. ogive
9
A stetement of truth of which follows with litle or no proof from a theorem.
C. Corollary
10
It Is a sequence of numbers. such that the successive terms differ by a constant.
A. Arithmetic progression
11
A frequency curve which Is composed of series of rectangles constructed with the steps as the base and the frequency as the height.
A. Histogram
12
If the roots of an equation are zero, then they are classified as
D. trIvlal solution
13
Convergent series is a sequence of decreasing number or when the succeeding term is _________ the preceding term.
C. lesser than
14
If a = b then b = a. This illustrates what axiom in algebra?
A. Symmetric axiom
15
A and B are Independent events. The probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statemants, what is the probabllity that event B will occur?
D. Pab/Pa
16
Two or more equations are equal if and only If they have the same
A. solution set
17
In any square matrix, when the elements of any two rows are exactly the same, the determinant is
A. zero
18
The ratio or product of two expressions in direct or inverse relation with each other is called
D. constant of variation
19
Is a sequence of terms whose reciprocals form an arithmetic progression?
B. Harmonic progression
20
An array of m x n quantities which represent a single number system composed of elements in rows and columns is known as
C. Matrix
21
Binary number system is a system of notation for real number that uses the place value method with 2 as the base, What us another name of the binary number system?
C. Dyadic number system
22
The number 0.123123123... is a/an
C. rational number
23
MCMXCIV is the Roman numeral equivalent to
C. 1994
24
A sequence of numbers where the succeeding term is greater than the preceding term is called
C. divergent series
25
Terms thet differs only in numeric coefficients are known as
C. like terms
26
In complex algebra, we use diagram to represent complex plane commonly called
A. Argand diagram
27
7 + 0i is
C. imaginery number
28
The number of successful outcomes divided by the number of possible outcomes is
D. probatillty
29
if a two digit number has x for its unit digit and y for Its tens digit. the number is represented as
C. 10y + x
30
A statement of truth which is admitted without proof.
A. Axiom
31
The part of theorem which is assumed to be true.
B. Hypothesis
32
A statement of truth which follows with little or no proof from the teorem.
A. Corollary
33
Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof.
C. Postulate
34
A mathematical statement which has neither been proved nor denied by counterexamples.
B. Conjecture
35
A proved proposition which is useful mainly as a preliminary to the proof of a theorem.
A. Lemma
36
Axioms are propositions of a general logical nature (about equal or unequal) while ______ are propositione concerning objects and constructions.
D. postulates
37
A ______ is an ancillary theorem whose result is not target for the proof.
C. hypothesis
38
Statements that are accepted without discussion or proof are called axioms. The word "axiom" comes from the Greek "axioma" which means
А. worth
39
In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called
B. hypothesis
40
The product of two or more number is the same in whatever order they are multiplied." This refers to
C. Commutative law of multiplication
41
If a = b, then b can replace a in any equation. This illustrates what law of identity?
D. Substitution law
42
If a = a, then it Illustrates what law of identity?
A. Reflexive law
43
If a = b, and b = c, then a = c. This illustrates
C. transitive law
44
The axiom which relates addition and multiplication is the _________ law.
C. distributive
45
Any combination of symbols and numbers related by the fundamental operation of algebra is called a/an
B. algebraic expression
46
The algebraic expression consisting a sum of any number of terms is called a
A. multinomial
47
An equation which is satisfied by all values of the variable for which the members of the equation defined is known as
B. rational equation
48
An equation in which some or all of the known quantities are represented by letters is called
B. literal equation
49
An equation in which the variable appear under the radical symbol
B. Irrational equation
50
An equation which, because of some mathematical process. has required an extra root is sometimes called as
A. redundant equation
51
Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as
D. defective equation
52
An algebraic expression which can be represented as a quotient of two polynomials.
C. Rational algebraic expression
53
A statement containing one or more variables and having the property taht it becomes either true or false when the variables are given specific values from their domains.
C. Open sentence
54
Any algebralc term Is a/an ________term in certain representing numbers if it consists of the product of possible integral powers of these numbers and a factor not containing them.
D. integral rational
55
An equation in x and y which is not easily solved for y in terms of x is called
B. implicit function
56
The numbers which are represented with letters.
C. Literal numbers
57
Equations whose members are equal only for certain or possibly no value of the unknown.
A. Conditional equations
58
An algebra c expression consisting of one term.
A. Monomial
59
In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.
B. Term
60
An expression of two terms is called
C. binomial
61
The degree of a polynomial or equation is the
B. maximum sum of exponents
62
What is the degree of the polynomial 3x^4 y + 2x^3 z^3 - 4yz^2 ?
A. 6th
63
Any fraction which contains one or more fractions in either numerator or denominator, or both is called
C. complex fraction
64
A common fraction with unity for numerator and a positive integer as denominator ii.e.1/n).
B. Unit fraction
65
If the absolute value of the numerator of a fraction is smaller than the denominator, It is called
A. proper fraction
66
A number that consists of an integer part (which may be zero) and a decimal part less than unity that follows the decimal marker, which may be a point or a comma.
C. Decimal fraction
67
Considered as the "counting numbers".
D. Natural numbers
68
A number represented by a non-terminating, non-repeating decimal.
A. Irrational number
69
The completeness axiom proved that the real number system has numbers other than
B. Rational numbers
70
The concept of spread of a random variable or a set of observations.
C. dispersion
71
A number containing a non-terminating but repeating decimal is a/an
B. rational number
72
A positive integer which has no perfect-square factor greater than 1.
D. Square-free integer
73
Numbers are used to describe a
C. magnitude and position
74
Are symbols or combinations of symbols which describe a number.
A. Numerals
75
Which of the following is not classified as an integer?
D. imaginary numbers
76
When an imaginary number is raised to an even exponent, it
D. becomes real number
77
The complex number is in the form of a + bi. If a = 0, what do you call the resulting number?
B. pure imaginary number
78
For a somplex number a + bi, the real number sqr. Root of a^2 + b^2 is _____ of the complex number.
D. all of the above
79
The ______ of two complex number is found by multiplying each term of the one by every term of the other.
C. product
80
A number which can be expressed as a quotient of two integers (division of zero excluded) is called
B. rational number
81
A prime number has exactly how many divisors?
B. 2
82
A prime number is an integer greater than 1 which has
C. 1 and itself as its only positive divisors
83
An integer which is the product of two integers, both different from 1 and -1 is called
B. composite number
84
A composite number has a least _______divisors.
C. 3
85
Two natural numbers a and b are ________ If their greatest common divisor is 1
A. relatively prime
86
Numbers used to count the objects or ideas in a given collection.
A. Cardinal numbers
87
Numbers which is used to state the position of individual objects in a sequence.
C. Ordinal numbers
88
An integer number that is equal to the sum of al its possible divisors except the number itself is called
B. perfect number
89
An integer the sum of all its possible divisors except the number itself is greater than the Integer is called
A. abundant number
90
An integer the sum of all its possible divisors except the number itself is less than the integer is called
D. defective number
91
What is the smallest perfect number possible?
B. 6
92
All perfect numbers are
A. even numbers
93
Two integer numbers are said to be _____ if each is the sum of all possible divisors of the other.
C. amicable numbers
94
What is another name for amicable numbers?
B. Friendly numbers
95
What is the smallest pair of friendly number?
C. 220 and 284
96
Prime numbers that appear in pair and differ by 2 (eg. 3 and 5, 11 and 13 etc.) are called
C. twin primes
97
"Every even integer greater than 2 can be written as the sum of two primes". This is known as
B. Goldbach conjecture
98
"Every positive integer greater than 1 ls a prime or can be expresses as a unique product of primes and powers". This is known as
A. Fundamental theorem of arithmetic
99
"Every sufficiently large off number can be expresses as a sum of three prime numbers". This is known as
B. Vinogradov's theorem