MESL (YELLOW BOOK 1.2)

Question 1

In the proportion of four quantities, the first and the fourth terms are referred to as the

Answer 1

Extremes

Question 2

The first term of a ratio is called ____.

Answer 2

Antecedent

Question 3

The second term of a ratio is called ____.

Answer 3

Consequent

Question 4

The ____ is the square root of the product of the extremes.

Answer 4

Mean proportional

Question 5

If the means of a proportion are equal, their common value is called

Answer 5

Mean proportional

Question 6

The theorem that in every arithmetic progression a, a+d, a=2d, …., where a and d are relatively prime

Answer 6

Dirichlet theorem

Question 7

A statement that one mathematical expression is greater than or less than another is called ___.

Answer 7

Inequality

Question 8

If an equality is true for all values of the variable, it is a/an

Answer 8

Absolute inequality

Question 9

If the same number is added to both sides of an inequality, the inequality

Answer 9

Is preserved

Question 10

An inequality is preserved if both sides are multiplied by

Answer 10

A positive number

Question 11

An inequality is reversed if both sides are multiplied by

Answer 11

-1

Question 12

Division of a population or same into two groups based either on measurable variables (e.g., age under 18, age over 180) or on attributes (e.g., male, female)

Answer 12

Dichotomy

Question 13

If there are as many equations as unknowns, the matrix of the coefficient is a

Answer 13

Square matrix

Question 13

A 3 x 2 matric can be multiplied to a

Answer 13

2 x 5 matrix

Question 14

A method of solving linear equation with several unknowns simultaneously using determinants

Answer 14

Cramer’s rule

Question 15

Using Cramer’s rule, the determinant of the coefficient is always the

Answer 15

Denominator of a quotient

Question 16

In any square matrix, when the elements of any two rows are exactly the same (i.e., row 1 = row 2 or row 1 = row 3, or row 2 = row 3…) the determinant is

Answer 16

Zero

Question 17

When the corresponding elements of two rows of a determinant are proportional. Then the value of the determinant is

Answer 17

Zero

Question 18

An array of m x n which represent a single number and is composed of elements in rows and columns is known as

Answer 18

Matrix

Question 19

When two rows are interchanged in position, the value of the determinant will

Answer 19

Be multiplied by -1

Question 20

If every elements of a row (or column) are multiplied by a constant k, then the value of the determinant is

Answer 20

Multiplied by k

Question 21

If two rows of a determinant are interchanged, the determinant

Answer 21

Changes sign

Question 22

Which of the following cannot be an operation of matrices?

Answer 22

Division

Question 23

An irrational number which is a root of a positive integer of fraction is called

Answer 23

Surd

Question 24

The symbol n√b means the principal nth root “n” is called the

Answer 24

Index

Question 25

In the preceding item, “b” is called the

Answer 25

Radicand

Question 26

The symbol √ is called a. Radical b. Radical symbol c. Index d. A or B

Answer 26

d. A or B

Question 27

The rules combining radicals follow the rules for

Answer 27

Fractional exponents

Question 28

When a number has both a positive and negative nth root, the principal nth root is

Answer 28

The positive root

Question 29

Every positive number has ___ nth root.

Answer 29

Two

Question 30

The principal nth root of a negative number is the negative root if n is

Answer 30

Odd

Question 31

To eliminate a surd, multiply is by its

Answer 31

Conjugate

Question 32

A radical which is equivalent to a non-terminating and non-repeating decimal.

Answer 32

Surd

Question 33

A radical expressing an irrational number is called a

Answer 33

Surd

Question 34

A surd which contains at least one rational term

Answer 34

Mixed surd

Question 35

A surd that contains no rational number, that is, all its factors or terms are surds, example √3 or √3 + √2

Answer 35

Pure surd

Question 36

The process of removing the surd from a denominator is to

Answer 36

Rationalize the denominator

Question 37

A quadratic equation of the form ax2 + c = 0, without the coefficient of the first-degree term is a/an

Answer 37

Pure quadratic equation

Question 38

In the quadratic equation Ax2 + Bx + C = 0, when two roots are multiplied, the result is

Answer 38

C/A

Question 39

In the quadratic equation Ax2 + Bx + C = 0, when two roots are added, the result is

Answer 39

-B/A

Question 40

If the discriminant of a quadratic equation is less than zero, the equation has

Answer 40

No real root

Question 41

When can we say that the two roots of a quadratic equation are equal?

Answer 41

When the discriminant is zero

Question 42

What is the discriminant of the quadratic equation Ax2 + Bx + C = 0?

Answer 42

B^2-4AC

Question 43

What determines the nature of the roots of a quadratic equation?

Answer 43

Discriminant

Question 44

The real roots of a cubic equation are the

Answer 44

Points of intersection of the graph of the equation with the x-axis.

Question 45

For a cubic equation, if the discriminant is equal to zero, we produce

Answer 45

Three real root, of which two are unequal

Question 46

For a cubic equation, we produce three distinct roots only if the discriminant is

Answer 46

Less than zero

Question 47

For a cubic equation, the discriminant is found to be greater than zero. The roots are

Answer 47

One real and two conjugate complex roots

Question 48

A succession of numbers in which one number is designated at first, another as third and so on is called

Answer 48

Sequence

Question 49

And indicated sum of a1 + a2 +a3 …. Is called

Answer 49

Series

Question 50

The repeating decimal 0.3333 is a geometric series of a1= 0.3 and r=

Answer 50

1/10

Question 51

A progression whose reciprocal forms and arithmetic progression

Answer 51

Harmonic progression

Question 52

the number between two geometric terms

Answer 52

Geometric mean

Question 53

The sum of the first terms of a series is called the nth ____.

Answer 53

Partial sum

Question 54

The sum of the terms of an arithmetic progression.

Answer 54

Arithmetic series

Question 55

The harmonic mean between a and b

Answer 55

2ab/ a + b

Question 56

The arithmetic mean of a and b is ____. (a + bi) (a+b)/2

Answer 56

(a+b)/2

Question 57

The geometric mean of a and b is

Answer 57

Square root of ab

Question 58

Are numbers which can be drawin as dots and arranged un triangle shape (i.e., 1, 3, 6, 10, 15, 21…)

Answer 58

Triangular number

Question 59

A figure numbers which can be drawn as dots and arranged in square shape (i.e., 1, 4, 9, 16, 25 …)

Answer 59

Square members of the pyramid

Question 60

A sequence 1, 5, 12, 22, 35

Answer 60

Pentagonal numbers

Question 60

A sequence 1, 8, 27, 64, 156, 216 … is

Answer 60

Cubic numbers

Question 61

A sequence 1, 4, 10, 20, 35, 56 …

Answer 61

Tetrahedral numbers

Question 62

A sequence of numbers where every term is obtained by adding all of the preceding terms a square series such as 1, 5, 14, 30, 55, 91

Answer 62

Pyramid numbers

Question 63

A sequence of numbers where the number is equal to the sum of the two preceding numbers such as 1, 1, 2, 3, 5, 68, 13, 21 … is called ___.

Answer 63

Fibonacci numbers

Question 64

What is the multiplicative inverse of the integer 5?

Answer 64

1/5

Question 65

What is the additive identity element?

Answer 65

Zero

Question 66

What is the multiplicative identity element?

Answer 66

1

Question 67

The number 0 such that 0 = a = a for all a is called the

Answer 67

“Additive identity”

Question 68

The additive inverse of a complex number is a +bi, is

Answer 68

-a-bi

Question 69

All real numbers have been additive inverse, commonly called ___.

Answer 69

Opposites

Question 70

All real numbers except zero have multiplicative inverses commonly called

Answer 70

Reciprocals

Question 71

The number zero has no ___.

Answer 71

Multiplicative inverse

Question 72

What is the additive inverse of a +bi

Answer 72

-a-bi

Question 73

What is the multiplicative inverse of a+bi

Answer 73

((a/)a2 +b2)-bi/(a2 + b2)

Question 74

Which of the following is not a property of a binomial expansion ( x +y ) n ?

Answer 74

Number of terms = n – 1

Question 75

A triangular array numbers forming the coefficient of the expansion of a binomial is called

Answer 75

Pascal’s triangle

Question 76

The coefficient of the second term of the expansion of (x + y) n is always equal to n

Answer 76

N

Question 77

How is the number in Pascal’s triangle obtained?

Answer 77

By getting the sum of the two numbers directly abc it.

Question 78

If the sign between the terms of the binomial is negative, its expansion will have the signs which are

Answer 78

Alternate starting with positive

Question 79

In the absence of the Pascal’s triangle, the coefficient of any term of the binomial expansion can be obtained by dividing the product of coefficient of the preceding tern if the exponent of x of the preceding team by ___ of the preceding term

Answer 79

The exponent of y + 1

Question 80

The fundamental principle of counting states that id one thing can be dust in “m” different ways, and another thing can be done in “n” different ways, then the two things can be done in ___ different ways.

Answer 80

m x n

Question 81

Is the arrangement of the object in specific order

Answer 81

Permutation

Question 82

Is the arranged of objects regardless of the order they have arranged

Answer 82

Combination

Question 83

The shifting of the entire order sequence of elements one or more steps forward to backward – the first element taking the position of the last, or vice versa without changing the order of the elements in the sequence is called

Answer 83

Cyclic permutation

Question 84

The number of elements in the collection being permutated is the ___ of the permutation.

Answer 84

Degree

Question 85

The ratio of the successful outcomes over the total possible outcomes is called

Answer 85

Probability

Question 86

The value of probability of any outcome will never be equals to or no exceed

Answer 86

0.75

Question 87

If two events A and B are mutually exclusive events and the probability that A will happened is Pa and the probability that B will happen is Pb, then the probability that A or B happen is

Answer 87

Pa + Pb

Question 88

A and B are two independent events. The probability that A can occurs is p and that for both A and B to occurs is q. The probability that event 8 can occurs us

Answer 88

q/p

Question 89

If the probability of occurrences pf a Pia, what is the probability that will not occur

Answer 89

Ans. 1-Pa

Question 90

In statistics a pictorial description of the probability concepts of independent and dependent events is called

Answer 90

Venn diagram

Question 91

The difference between the highest score and the lowest score in the distribution

Answer 91

Range

Question 92

The second power of the standard deviation is called

Answer 92

Variance

Question 93

A graph of cumulative frequency distribution plotted at class marks and connected by straight lines.

Answer 93

Ogive

Question 94

A point in the distribution of scores at which 50 percent of the scores fall below and 50 percent of the scores fail above

Answer 94

Median

Question 95

A number that occurs most frequent in a group of numbers

Answer 95

Mode

Question 96

The difference between an approximate value of a quantity and its exact value or true value.

Answer 96

Absolute error

Question 97

If the quotient of the absolute error divided by the true value

Answer 97

Relative error

Question 98

Refers to a value which is not exact but might accurate enough for some specific considerations

Answer 98

Approximate value