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