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

What is the value of $S(8, 7)$?

  1. 56

  2. 64

  3. 72

  4. 80
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$S(8, 7)$ represents the number of ways to partition a set of 8 elements into 7 nonempty subsets. There are 56 ways to do this. Therefore, $S(8, 7) = 56$.

Multiple choice

What is the value of (\binom{5}{2})?

  1. 10

  2. 15

  3. 20

  4. 25
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the formula (\binom{n}{k} = \frac{n!}{k!(n-k)!}), we can calculate (\binom{5}{2} = \frac{5!}{2!(5-2)!} = \frac{5!}{2!3!} = \frac{120}{2\cdot6} = 10).

Multiple choice

What is 5 + 7?

  1. 12

  2. 14

  3. 16

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

To add 5 and 7, you can count on your fingers or use a mental math strategy. Starting with 5, count up 7: 5, 6, 7, 8, 9, 10, 11, 12. Therefore, the answer is 12.

Multiple choice

Subtract 13 from 20.

  1. 7

  2. 8

  3. 9

  4. 10
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To subtract 13 from 20, you can use the counting down method. Starting at 20, count down 13: 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7. Therefore, the answer is 7.

Multiple choice

Find the product of 4 and 9.

  1. 12

  2. 18

  3. 24

  4. 36
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To multiply 4 and 9, you can use the traditional multiplication algorithm. Multiply 4 by 9, starting from the rightmost digit: 4 x 9 = 36. Therefore, the answer is 36.

Multiple choice

Divide 24 by 6.

  1. 3

  2. 4

  3. 5

  4. 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To divide 24 by 6, you can use the division algorithm. Divide 24 by 6, starting from the leftmost digit: 24 ÷ 6 = 4. Therefore, the answer is 4.

Multiple choice

Which number is greater, 12 or 15?

  1. 12

  2. 15

  3. Both are equal
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

15 is greater than 12.

Multiple choice

Which number is smaller, 1/2 or 2/3?

  1. 1/2

  2. 2/3

  3. Both are equal
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

1/2 is smaller than 2/3.

Multiple choice

What is the value of 5 x 3?

  1. 10

  2. 12

  3. 15

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

5 x 3 = 15.

Multiple choice

I am a number that is the product of two consecutive even numbers. What am I?

  1. 16

  2. 20

  3. 24

  4. 28
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The only pair of consecutive even numbers that multiply to 20 is 4 and 5.

Multiple choice

I am a number that is the quotient of two consecutive even numbers. What am I?

  1. 1/2

  2. 1

  3. 3/2

  4. 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The only pair of consecutive even numbers that divide evenly is 2 and 4.

Multiple choice

I am a number that is the product of the first three consecutive even numbers. What am I?

  1. 24

  2. 36

  3. 48

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

The first three consecutive even numbers are 2, 4, and 6, which multiply to 24.

Multiple choice

I am a number that is the product of the first four consecutive even numbers. What am I?

  1. 384

  2. 512

  3. 640

  4. 768
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The first four consecutive even numbers are 2, 4, 6, and 8, which multiply to 384.

Multiple choice

What is the Ramsey number (R(4,4))?

  1. 18

  2. 19

  3. 20

  4. 21
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Ramsey number (R(4,4)) is the smallest number of vertices in a graph such that any two disjoint sets of four vertices are either all connected by edges or all disconnected by edges.

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
A Correct answer
Explanation

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