Mathematics · Quantitative Aptitude

Number Operations and Properties

974 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 mathematical operation that combines two or more numbers to produce a single number?

  1. Addition

  2. Subtraction

  3. Multiplication

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

Multiplication is a mathematical operation that combines two or more numbers to produce a single number.

Multiple choice

Calculate the value of 144^2 using the Urdhva Tiryakbhyam Sutra.

  1. 20736

  2. 21736

  3. 22736

  4. 23736
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the Urdhva Tiryakbhyam Sutra, we can multiply the digits of 144 in a vertical and horizontal manner. The result is 20736.

Multiple choice

Solve the following addition problem: 345 + 234 = ?

  1. 579

  2. 589

  3. 679

  4. 789
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To solve this addition problem, we add the digits in each column, starting from the rightmost column. 5 + 4 = 9, 3 + 3 = 6, and 2 + 2 = 4. Therefore, the sum of 345 and 234 is 579.

Multiple choice

Divide 456 by 12.

  1. 38

  2. 39

  3. 40

  4. 41
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To divide two numbers, we repeatedly subtract the divisor from the dividend until the remainder is less than the divisor. In this case, we have 456 ÷ 12 = 38 with a remainder of 0.

Multiple choice

What is the factorial of 5?

  1. 120

  2. 24

  3. 60

  4. 15
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The factorial of a number is the product of all positive integers up to that number. Therefore, 5! = 5 * 4 * 3 * 2 * 1 = 120.

Multiple choice

What is 5 + 3?

  1. 6

  2. 7

  3. 8

  4. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

5 + 3 = 8.

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

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.