MCQs in System of Numbers and Conversion Part II

This is the Multiples Choice Questions Part 2 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:

System of Numbers and Conversion MCQs

PART 1: MCQs from Number 1 – 50                        Answer key: PART I

PART 2: MCQs from Number 51 – 100                      Answer key: PART II

PART 3: MCQs from Number 101 – 150                      Answer key: PART III

Continue Practice Exam Test Questions Part II of the Series

Choose the letter of the best answer in each questions.

Conversion

Problem 51

What is the temperature in degree Celsius of absolute zero?

• A. -32
• B. 0
• C. 273
• D. -273

Problem 52 (ME April 1996)

How many degrees Celsius is 100 degrees Fahrenheit?

• A. 37.8 °C
• B. 2.667 °C
• C. 1.334 °C
• D. 13.34 °C

Problem 53 (ECE November 1997)

A comfortable room temperature is 72 °F. What is this temperature, expressed in degrees Kelvin?

• A. 263
• B. 290
• C. 295
• D. 275

Problem 54

255 °C is equivalent to:

• A. 491 °F
• B. 427 °F
• C. 173.67 °F
• D. 109.67 °F

Problem 55

At what temperature will the °C and °F readings be equal?

• A. 40°
• B. -40°
• C. 32°
• D. 0°

Problem 56 (ME October 1994)

How many degree Celsius is 80 degrees Fahrenheit?

• A. 26.67
• B. 86.4
• C. 33.33
• D. 16.33

Problem 57 (EE October 1990)

What is the absolute temperature of the freezing point of water in degree Rankine?

• A. -32
• B. 0
• C. 428
• D. 492

Problem 58

The angle of inclination of the road is 32. What is the angle of inclination in mils?

• A. 456.23
• B. 568.89
• C. 125.36
• D. 284.44

Problem 59

An angle measures x degrees. What is its measure in radians?

• A. 180° x / π
• B. π x / 180°
• C. 180° π / x
• D. 180° π x

Problem 60 (ECE November 1995)

Express 45° in mils.

• A. 80 mils
• B. 800 mils
• C. 8000 mils
• D. 80000mils

Problem 61 (ME April 1997)

What is the value in degrees of π radians?

• A. 90°
• B. 57.3°
• C. 180°
• D. 45°

Problem 62 (CE May 1993)

How many degrees is 3200° mils?

• A. 360°
• B. 270°
• C. 180°
• D. 90°

Problem 63 (ECE November 1995)

An angular unit equivalent to 1/400 of the circumference of a circle is called:

• A. mil
• B. grad
• C. radian
• D. degree

Problem 64 (EE October 1994)

Carry out the following multiplication and express your answer in cubic meters: 3cm×5mm×2m.

• A. 3 x 10^-3
• B. 3 x 10^-4
• C. 8 x 10^-2
• D. 8 x 10²

Problem 65 (ME April 1994)

Add the following and express in meters: 3m + 2cm + 70mm

• A. 2.90 m
• B. 3.14 m
• C. 3.12 m
• D. 3.09 m

Problem 16

One nautical mile is equivalent to:

• A. 5280 ft.
• B. 6280 ft.
• C. 1.256 statute mile
• D. 1.854 km

Problem 67 (ME October 1991)

How many square feet is 100 square meters?

• A. 328.10
• B. 956.36
• C. 1075.84
• D. 156

Problem 68

A tank contains 1500 gallons of water. What is the equivalent in cubic liters?

• A. 4.256
• B. 5.865
• C. 6
• D. 5.685

Problem 69 (ME October 1994)

How many cubic feet is equivalent to 100 gallons of water?

• A. 74.80
• B. 1.337
• C. 13.37
• D. 133.7

Problem 70 (ME April 1998)

How many cubic meters is 100 gallons of liquid?

• A. 0.1638 cu. meters
• B. 1.638 cu. meters
• C. 0.3785 cu. meters
• D. 3.7850 cu. meters

Problem 71 (ME October 1995)

The number of board feet in a plank 3 inches thick, 1 foot wide, and 20 feet long is:

• A. 30
• B. 60
• C. 120
• D. 90

Problem 72

Which of the following is correct?

• A. 1 horsepower = 746 kW
• B. 1 horsepower = 0.746 watts
• C. 1 horsepower = 0.746 kW
• D. 1 horsepower = 546 watts

Problem 73 (ME October 1996)

The acceleration due to gravity in English unit is equivalent to?

• A. 32.2 ft/sec²
• B. 3.22 ft/sec²
• C. 9.81 ft/sec²
• D. 98.1 ft/sec²

Problem 74 (ME April 1999)

The prefix nano is opposite to:

• A. mega
• B. tera
• C. hexa
• D. giga

Problem 75 (ME October 1996)

10 to the 12^th power is the value of the prefix:

• A. giga
• B. pico
• C. tera
• D. peta

Exponents and Radicals

Problem 76

Solve for x: x = -(1/-27)^-2/3

• A. 9
• B. 1/9
• C. -9
• D. -1/9

Problem 77

Solve for a in the equation: a = 64^x4^y

• A. 4^x+3y
• B. 4^3xy
• C. 256^xy
• D. 4^3x+y

Problem 78

Simplify 3^x - 3^x-1 - 3^x-2

• A. 3^x-2
• B. 3^3x-3
• C. 5×3^x-2
• D. 13×3^x

Problem 79

Which of the following is true?

• A. √-2 x √-2 = 2 
• B. 24 = 4√6
• C. √10 = √5 + √2
• D. 5⁵ + 5⁵ + 5⁵ + 5⁵ + 5⁵ = 5⁶

Problem 80

Solve for x: x = √18 - √72 + √50

• A. -2√2
• B. 2√2
• C. 4
• D. 4√3

Problem 81

Solve for x: √(x – √(1 – x)) = 1 – √x

• A. -16/25 & 0
• B. 25/16 & 0
• C. -25/16 & 0
• D. 16/25 & 0

Problem 82

Simplify, ³√(2x⁴) – ³√(16x⁴) + 2 (³√(54x⁴))

• A. 5(³√x⁴)
• B. 2(³√(5x⁴⁾)
• C. 5(³√(2x⁴⁾)
• D. 2(³√x⁴)

Problem 83

Solve for x: 3^x5^x+1 = 6^x+2

• A. 2.1455
• B. 2.1445
• C. 2.4154
• D. 2.1544

Problem 84

Simplify, (a^-2 b³)² / (a² b^-1) .

• A. a^-2 b⁷ 
• B. a^-2 b⁵ 
• C. a^-6 b⁷ 
• D. a^-6 b⁵ 

Problem 85

(3^x)^x is equal to:

• A. 3^{x^2} 
• B. 3^x x^x
• C. 3x^x
• D. 3^2x

Problem 86

Solve for x: 3^7x+1 = 6561.

• A. 1
• B. 2
• C. 3
• D. 4

Problem 87

If 3a = 7b, then 3a² / 7b² =

• A. 1
• B. 3/7
• C. 7/3
• D. 49/9

Problem 88

Solve for U if U =  √(1 – √(1 – √(1 – …

• A. 0.723
• B. 0.618
• C. 0.852
• D. 0.453

Problem 89 (ME April 1996)

If x to the ¾ power equals 8, then x equals:

• A. -9
• B. 6
• C. 9
• D. 16

Problem 90

If 33^y = 1, what is the value of y/33?

• A. 0
• B. 1
• C. Infinity
• D. 1/33

Problem 91 (ME April 1998)

Find the value of x that will satisfy the following expression:  √(x – 2) = √x + 2

• A. x = 3/2
• B. x = 18/6
• C. x = 9/4
• D. none of these

Problem 92 (ME April 1998)

e^-3 is equal to:

• A. 0.048787
• B. 0.049001
• C. 0.049787
• D. 0.048902

Problem 93

B to the m/n^th power is equal to:

• A. N^th root of b to the m power
• B. B to the m+n power
• C. 1/n square root of b to the m power
• D. B to the m power over n

Problem 94 (ECE April 1993)

Find x from the following equations:

27^x = 9^y

81^y3^-x = 243

• A. 2.5
• B. 2
• C. 1
• D. 1.5

Problem 95 (ECE April 1990)

Solve for a if (a^m)(aⁿ) = 100000 and aⁿ/a^m = 10

• A. 15.85
• B. 10
• C. 12
• D. 12.56

Problem 96 (ECE April 1991)

Simplify, ((x²y³z^-2)^-3 (x^-3yz³)^1/2) / (xyz^-3)^5/2 

• A. 1/(x²y⁷z³)
• B. 1/(x²y⁷z⁶)
• C. 1/(x²y⁵z³)
• D. 1/(x⁵y⁷z³)

Problem 97 (ECE April 1991)

Simplify the following: 7^a+2 – 8(7^a+1) + 5(7^a) + 49(7^a-2).

• A. -5^a
• B. 3
• C. -7^a
• D. 7^a

Problem 98

Simplify, ((xy^-1)/(x^-2y³))⁴ ÷ ((x²y^-2)/(x^-3y³))³ 

• A. xy³
• B. y/x³ 
• C. x³/y
• D. 1/(x³y)

Problem 99

Simplify the following:  (√5 – √3) / (√5 + √3) .

• A. 4 + √15
• B. 4 – √15
• C. 8 + √8
• D. 8 – √8

Problem 100

Which of the following is equivalent to ^m√ⁿ√a

• A. ^m√aⁿ
• B. ⁿ√a^m 
• C. √a^mn 
• D. ^mn√a

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