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**

**MCQs from Number 1 – 50**Answer key:

**PART I**

**MCQs from Number 51 – 100**Answer key:

**PART II**

**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 / Ï€
- B. Ï€ x / 180°
- C. 180° Ï€ / x
- D. 180° Ï€ 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 Ï€ 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 10
^{2}

**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/sec
^{2} - B. 3.22 ft/sec
^{2} - C. 9.81 ft/sec
^{2} - D. 98.1 ft/sec
^{2}

**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^{x}4^{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. 5
^{5 }+ 5^{5 }+ 5^{5 }+ 5^{5 }+ 5^{5 }= 5^{6}

**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}√(2x^{4}) – ^{3}√(16x^{4}) + 2 (^{3}√(54x^{4}))

- A. 5(
^{3}√x^{4}) - B. 2(
^{3}√(5x^{4)}) - C. 5(
^{3}√(2x^{4)}) - D. 2(
^{3}√x^{4})

**Problem 83**

Solve for x: 3^{x}5^{x+1 }= 6^{x+2}

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

**Problem 84**

Simplify, (a^{-2 }b^{3})^{2} / (a^{2 }b^{-1}) .

- A. a
^{-2}b^{7} - B. a
^{-2}b^{5} - C. a
^{-6}b^{7} - D. a
^{-6}b^{5}

**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 3a^{2 }/ 7b^{2 }=

- 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^{y}3^{-x} = 243

- A. 2.5
- B. 2
- C. 1
- D. 1.5

**Problem 95 (ECE April 1990)**

Solve for a if (a^{m})(a^{n}) = 100000 and a^{n}/a^{m} = 10

- A. 15.85
- B. 10
- C. 12
- D. 12.56

**Problem 96 (ECE April 1991)**

Simplify, ((x^{2}y^{3}z^{-2})^{-3} (x^{-3}yz^{3})^{1/2}) / (xyz^{-3})^{5/2}

- A. 1/(x
^{2}y^{7}z^{3}) - B. 1/(x
^{2}y^{7}z^{6}) - C. 1/(x
^{2}y^{5}z^{3}) - D. 1/(x
^{5}y^{7}z^{3})

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^{-2}y^{3}))^{4} ÷ ((x^{2}y^{-2})/(x^{-3}y^{3}))^{3}

- A. xy
^{3} - B. y/x
^{3} - C. x
^{3}/y - D. 1/(x
^{3}y)

**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}√a^{n} - B.
^{n}√a^{m} - C. √a
^{mn} - D.
^{mn}√a

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