Mathematics · Quantitative Aptitude

Number Operations and Properties

896 Questions

Improve your quantitative aptitude with these number operations and properties questions. The topics range from basic subtraction and division to highest common factor and roman numerals. Regular practice of these fundamentals builds speed for exams.

Basic arithmetic operationsHCF and number propertiesRoman numeral calculationsNumber series evaluation

Number Operations and Properties Questions

Multiple choice

Which of the following is a fundamental property of the complex numbers?

  1. Closure under Addition

  2. Closure under Multiplication

  3. Closure under Exponentiation

  4. Closure under Division
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The complex numbers are closed under exponentiation, meaning that the exponential of any complex number is also a complex number.

Multiple choice

Find the greatest common divisor (GCD) of 24 and 36.

  1. 6

  2. 8

  3. 12

  4. 18
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. For 24 and 36, the GCD is 12.

Multiple choice

Which of the following is a factor of 45?

  1. 3

  2. 5

  3. 7

  4. 11
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A factor of a number is an integer that divides the number without leaving a remainder. 5 is a factor of 45 because 45 ÷ 5 = 9, which is an integer.

Multiple choice

What is the value of 2^5?

  1. 16

  2. 32

  3. 64

  4. 128
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

2^5 means 2 raised to the power of 5. This is calculated as 2 × 2 × 2 × 2 × 2, which equals 32.

Multiple choice

What is the value of 7! (7 factorial)?

  1. 362880

  2. 5040

  3. 40320

  4. 2520
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

7! (7 factorial) is the product of all positive integers less than or equal to 7. This is calculated as 7 × 6 × 5 × 4 × 3 × 2 × 1, which equals 5040.

Multiple choice

Which of the following is a Pythagorean triple?

  1. (3, 4, 5)

  2. (5, 12, 13)

  3. (7, 24, 25)

  4. (9, 40, 41)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A Pythagorean triple satisfies the equation a^2 + b^2 = c^2. (3, 4, 5) satisfies this equation: 3^2 + 4^2 = 5^2.

Multiple choice

Find the multiplicative inverse of 7 in the field of integers modulo 11.

  1. 2

  2. 3

  3. 4

  4. 5
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The multiplicative inverse of an element in a field is the element that, when multiplied by the given element, results in the identity element. In the field of integers modulo 11, the identity element is 1. We have: 7 * 8 ≡ 1 (mod 11). Therefore, the multiplicative inverse of 7 in the field of integers modulo 11 is 8.

Multiple choice

What is the value of the entry in the 5th row and 3rd column of Pascal's Triangle?

  1. 10

  2. 20

  3. 30

  4. 40
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The entry in the 5th row and 3rd column of Pascal's Triangle is calculated by adding the two numbers above it, which are 4 and 6. Therefore, the value of the entry is 4 + 6 = 10.

Multiple choice

What is the result of the following expression: 10 + 20?

  1. 30

  2. 40

  3. 50

  4. 60
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In JavaScript, the + operator is used for addition. Therefore, the result of the expression 10 + 20 is 30.

Multiple choice

What is the result of the following expression: 10 * 2?

  1. 20

  2. 30

  3. 40

  4. 50
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In JavaScript, the * operator is used for multiplication. Therefore, the result of the expression 10 * 2 is 20.

Multiple choice

A rectangular room has a length of 15 feet and a width of 12 feet. What is the area of the room in square meters?

  1. 18.58 sq m

  2. 19.53 sq m

  3. 20.47 sq m

  4. 21.42 sq m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

1 foot = 0.3048 meters Length in meters = 15 * 0.3048 = 4.572 meters Width in meters = 12 * 0.3048 = 3.6576 meters Area in square meters = 4.572 * 3.6576 = 16.7229 sq m