This is the Multiples Choice Questions Part 3 of the Series in System of Numbers and Conversion as one of the Engineering Mathematics topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including but not limited to past Board Examination Questions in Engineering Mathematics, Mathematics Books, Journals and other Mathematics References.
Multiple Choice Questions Topic Outline
- MCQs in Systems of Numbers | MCQs in Cardinal and Ordinal Numbers | MCQs in Numerals and Digit | MCQs in Real Numbers | MCQs in Imaginary Number | MCQs in Complex Number | MCQs in Fractions | MCQs in Composite Numbers | MCQs in Prime Numbers | MCQs in Perfect Number | MCQs in Defective and Abundant Numbers | MCQs in Amicable Numbers | MCQs in Factorial | MCQs in Significant Figures | MCQs in Rounding and Truncation
Online Questions and Answers in System of Numbers and Conversion Series
Following is the list of multiple choice questions in this brand new series:
Continue Practice Exam Test Questions Part III of the Series
Choose the letter of the best answer in each questions.
Problem 101 (CE May 1994)
In the complex number 3 + 4i, the absolute value is:
- A. 10
- B. 7.211
- C. 5
- D. 5.689
Problem 102
In the complex number 8-21, the amplitude is:
- A. 104.04°
- B. 14.04°
- C. 345.96°
- D. 165.96°
Problem 103
(6 cis 120°)(4 cis 30°) is equal to:
- A. 10 cis 150°
- B. 24 cis 150°
- C. 10 cis 90°
- D. 24 cis 90°
Problem 104
((20 cis 80°)/(10 cis 50°)) is equal to:
- A. 20 cis 30°
- B. 3 cis 130°
- C. 3 cis 30°
- D. 20 cis130°
Problem 105
The value of x + y in the complex equation 3 + xi = y + 2i is:
- A. 5
- B. 1
- C. 2
- D. 3
Problem 106
Multiply (3-2i)(4+3i).
- A. 12 + i
- B. 18 + i
- C. 6 + i
- D. 20 + i
Problem 107 (EE October 1997)
Divide ((4 + 3i)/(2 – i)).
- A. ((11 + 10i)/5)
- B. 1 + 2i
- C. ((5 + 2i)/5)
- D. 2 + 2i
Problem 108
Find the value of i9.
- A. i
- B. –i
- C. 1
- D. -1
Problem 109 (ECE April 1999)
Simplify i1997+ i1999, where I is an imaginary number.
- A. 1 + i
- B. I
- C. 1 – i
- D. 0
Problem 110
Expand (2 + √-9)3
- A. 46 + 9i
- B. 46 - 9i
- C. –46 - 9i
- D. –46 + 9i
Problem 111
Write –4 + 3i in polar form.
- A. 5Ô¼36.87°
- B. 5Ô¼216.87°
- C. 5Ô¼323.13°
- D. 5Ô¼143.13°
Problem 112
Simplify: i30 – 2i25 + 3i17.
- A. I + 1
- B. –1 - 2i
- C. –1 + i
- D. –1 + 5i
Problem 113 (ME April 1997)
Evaluate the value of √(-10) ● √(-7).
- A. Imaginary
- B. -√70
- C. √17
- D. √70
Problem 114 (EE April 1994)
Perform the indicated operation: √(-9) ● 3√(-343).
- A. 21
- B. 21i
- C. -21i
- D. -21
Problem 115 (ECE April 1999)
What is the quotient when 4 + 8i is divided by i3?
- A. 8 + 4i
- B. –8 + 4i
- C. 8 – 4i
- D. –8 - 4i
Problem 116
What is the exponential form of the complex number 4 + 3i?
- A. 5ei53.13°
- B. 5ei36.87°
- C. 7ei53.13°
- D. 7ei36.87°
Problem 117
What is the algebraic form of the complex number 13ei67.38°?
- A. 12 + 5i
- B. 5 – 12i
- C. 12 – 5i
- D. 5 + 12i
Problem 118 (ME April 1998)
Solve for x that satisfy the equation x2 + 36 = 9 – 2x2.
- A. ±6i
- B. ±3i
- C. 9i
- D. -9i
Problem 119
Evaluate ln (5 + 12i).
- A. 2.565 + 1.176i
- B. 2.365 – 0.256i
- C. 5.625 + 2.112i
- D. 3.214 – 1.254i
Problem 120 (EE April 1994)
Add the given vectors: (-4, 7) + (5, -9)
- A. (1, 16)
- B. (1, -2)
- C. (9, 2)
- D. (1, 2)
Problem 121 (EE April 1994)
Find the length of vector (2, 1,1).
- A. √17
- B. √21
- C. √20
- D. √19
Problem 122 (ECE November 1997)
Find the length of the vector (2, 4, 4).
- A. 8.75
- B. 6.00
- C. 7.00
- D. 5.18
Problem 123
If a = b and b = c, then a = c. This property of real numbers is known as:
- A. Reflexive Property
- B. Symmetric Property
- C. Transitive Property
- D. Addition Property
Problem 124
If a = b, then b = a. This property of real numbers is known as:
- A. Reflexive Property
- B. Symmetric Property
- C. Transitive Property
- D. Multiplication Property
Problem 125
A statement the truth of which is admitted without proof is called:
- A. An axiom
- B. A postulate
- C. A theorem
- D. A corollary
Problem 126
In a proportion of four quantities, the first and the fourth terms are referred to:
- A. means
- B. denominators
- C. extremes
- D. numerators
Problem 127 (ECE November 1997)
Convergent series is a sequence of decreasing numbers or when the succeeding term is ____ than the preceding term.
- A. ten times more
- B. greater
- C. equal
- D. lesser
Problem 128 (ECE November 1997)
It is the characteristics of a population which is measurable.
- A. Frequency
- B. Distribution
- C. Sample
- D. Parameter
Problem 129 (ECE November 1997)
The quartile deviation is a measure of:
- A. Division
- B. Central tendency
- C. Certainty
- D. Dispersion
Problem 130 (ECE November 1995, 1997)
In complex algebra, we use a diagram to represent a complex plane commonly called:
- A. De Moivre’s Diagram
- B. Funicular Diagram
- C. Argand Diagram
- D. Venn Diagram
Problem 131
A series of numbers which are perfect square numbers (i.e. 1, 4, 9, 16, …) is called:
- A. Fourier series
- B. Fermat’s series
- C. Euler’s series
- D. Fibonacci numbers
Problem 132
A sequence of numbers where every term is obtained by adding all the preceding terms such as 1, 5, 14, 30… Is called:
- A. Triangular number
- B. Pyramidal number
- C. Tetrahedral number
- D. Euler’s number
Problem 133 (ECE November 1995)
The graphical representation of the commulative frequency distribution in a set of statistical data is called:
- A. Ogive
- B. Histogram
- C. Frequency polyhedron
- D. Mass diagram
Problem 134 (ECE March 1996)
A sequence of numbers where the succeeding term is greater than the preceding term is called:
- A. Dissonant series
- B. Convergent series
- C. Isometric series
- D. Divergent series
Problem 135 (ECE March 1996)
The number 0.123123123…. is
- A. Irrational
- B. Surd
- C. Rational
- D. Transcendental
Problem 136 (ECE November 1996)
An array of m x n quantities which represent a single number system composed of elements in rows and columns is know as:
- A. Transpose of a matrix
- B. Determinant
- C. Co-factor of a matrix
- D. Matrix
Problem 137
If equals are added to equals, the sum is equal.
- A. theorem
- B. postulate
- C. axiom
- D. corollary
Problem 138 (ECE November 1996)
Terms that differ only in numeric coefficients are known as:
- A. unequal terms
- B. unlike terms
- C. like terms
- D. equal terms
Problem 139 (ECE November 1996)
______ is a sequence of terms whose reciprocals are in arithmetic progression.
- A. Geometric progression
- B. Harmonic progression
- C. Algebraic Progression
- D. Ratio and proportion
Problem 140 (ECE November 1996)
The logarithm of a number to the base e (2.718281828…) is called:
- A. Naperian logarithm
- B. Characteristic
- C. Mantissa
- D. Briggsian logarithm
Problem 141 (ECE November 1996)
The ratio or product of two expressions in direct or inverse relation of the other is called:
- A. Ratio and proportion
- B. Constant variation
- C. Means
- D. Extremes
Problem 142 (ECE November 1996)
In any square matrix, when the elements of any two rows are the same the determinant is:
- A. Zero
- B. Positive integer
- C. Negative integer
- D. Unity
Problem 143 (ECE November 1996)
Two or more equations are equal if and only if they have the same
- A. Solution set
- B. Degree
- C. Order
- D. Variable set
Problem 144
What is the possible outcome of an experiment called?
- A. a sample space
- B. a random point
- C. an event
- D. a finite set
Problem 145
If the roots of an equation are zero, then they are classified as:
- A. Trivial solutions
- B. Extraneous roots
- C. Conditional solutions
- D. Hypergolic Solutions
Problem 146
A complex number associated with a phase-shifted sine wave in polar form whose magnitude is in RMS and angle is equal to the angle of the phase-shifted sine wave is known as:
- A. Argand’s number
- B. Imaginary number
- C. Phasor
- D. Real number
Problem 147
In raw data, the term, which occurs most frequently, is known as:
- A. Mean
- B. Median
- C. Mode
- D. Quartile
Problem 148
Infinity minus infinity is:
- A. Infinity
- B. Zero
- C. Indeterminate
- D. None of these
Problem 149
Any number divided by infinity is equal to:
- A. I
- B. Infinity
- C. Zero
- D. Indeterminate
Problem 150
The term in between any two terms of an arithmetic progression is called:
- A. Arithmetic mean
- B. Median
- C. Middle terms
- D. Mean
Problem 151
Any equation which, because of some mathematical process, has acquired an extra root is sometimes called a:
- A. Redundant equation
- B. Literal equation
- C. Linear equation
- D. Defective equation
Problem 152
A statement that one mathematical expression is greater than or less than another is called:
- A. inequality
- B. non-absolute condition
- C. absolute condition
- D. conditional expression
Problem 153
A relation, in which every ordered pair (x, y) has one and only one value of y that corresponds to the values of x, is called:
- A. Function
- B. Range
- C. Domain
- D. Coordinates
Problem 154
An equation in which a variable appears under the radical sign is called:
- A. Literal equation
- B. Radical equation
- C. Irradical equation
- D. Irrational equation
Problem 155
The number of favorable outcomes divided by the number of possible outcomes:
- A. Permutations
- B. Probability
- C. Combination
- D. Chance
Problem 156
Two factors are considered essentially the same if:
- A. One is merely the negative of the other
- B. One is exactly the same of the other
- C. Both of them are negative
- D. Both of them are positive
Problem 157
An integer is said to be prime if:
- A. It is factorable by any value
- B. It is an odd integer
- C. It has no other integer as factor excepts itself or 1
- D. It is an even integer
Problem 158
Equations in which the members are equal for all permissible values of integer are called:
- A. a conditional equation
- B. an identity
- C. a parametric equation
- D. a quadratic equation
Problem 159
Equations which satisfy only for some values of unknown are called:
- A. a conditional equation
- B. an identity
- C. a parametric equation
- D. a quadratic equation
Problem 160 (ME April 1996)
The logarithm of 1 to any base is:
- A. indeterminate
- B. zero
- C. infinity
- D. one
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