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  • 問題数 99 • 10/2/2024

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    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