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 maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Find the numbers which are not in generalised form.

  1. $5 \times 100 + 6 \times 10 + 0$
  2. $2 \times 10 + 3 \times 10 + 1$
  3. $3 \times 100 + 2 \times 100 + 2$
  4. $2 \times 10 + 2$
Reveal answer Fill a bubble to check yourself
B,C Correct answer
Explanation

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
Here, $2 \times 10 + 3 \times 10 + 1$ and $3 \times 100 + 2 \times 100 + 2$ are not in generalised form.


So, options B and C are correct.

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Choose the correct option which are in general form.

  1. $200 \times 4 + 10 \times 1 - 3$
  2. $1 \times 100 + 2 \times 10 + 3$
  3. $4 \times 100 + 3 \times 10 + 8$
  4. $12 \times 100 + 5 + 2 \times 10$
Reveal answer Fill a bubble to check yourself
B,C Correct answer
Explanation

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
So, $1 \times 100 + 2 \times 10 + 3$ and $4  \times 100 + 3 \times 10 + 8$ are in general form.


So, options B and C are correct.

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Check the option which are in general form.

  1. $6 \times 100 + 4 \times 10 + 0$
  2. $5 \times 100 - 4 \times 10 - 2$
  3. $6 \times 10 + 2 \times 10 + 2$
  4. $7 \times 100 + 9 - 1 \times 20$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
So, $6 \times 100 + 4 \times 10 + 0$ is in general form.


So, option A is correct.

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Find the number in general form: $875$

  1. $8 \times 10 + 7 \times 10 + 5$
  2. $8 \times 100 + 7 \times 10 + 5$
  3. $8 \times 100 + 7 \times 100 + 5$
  4. $8 \times 100 + 7 \times 10 + 50$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The general form of any three digits numbers is, $abc = a \times 100 + b \times 10 + c$
So, $875 = 8 \times 100 + 7 \times 10 + 5$


So, option B is correct.

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Determine the number which are not in general form?

  1. $3 \times 10 + 2 + 2 \times 10$
  2. $2 \times 100 + 5 \times 10 + 9$
  3. $2 \times 100 + 2 - 0 \times 10$
  4. $9 \times 100 + 5 \times 10 + 2$
Reveal answer Fill a bubble to check yourself
A,C Correct answer
Explanation

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
Here, $3 \times 10 + 2 + 2 \times 10$ and $2 \times 100 + 2 - 0 \times 10 $ are not in generalised form.


So, options A and C are correct.

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

The general form of $129$ is

  1. $100 \times 1 + 10 \times 2 + 9 \times 1$
  2. $120 \times 1 + 9 \times 1$
  3. $100 \times 1 + 30 \times 1 - 1$
  4. All of the above

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

General form of a number is denoted by expansion of itself written as sum of multiplication of the digit by its place value.

Therefore, $129$ can be written as $1 \times 100 + 2 \times 10 + 9 \times 1$

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

What is the sum of $289$ and $410$ in number name form(i.e. in words)? 

  1. Six hundred and ninety two

  2. Six hundred and eighty five

  3. Six hundred and ninety nine

  4. Six hundred and fifty four

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
$\Rightarrow$  The given two numbers are $289$ and $410.$
$\therefore$  $289+410=699$
 Hundreds  Tens  Units
$ 6$  $9$ $ 9$

$\therefore$  In word $699$ can be written as "Six hundred and ninety nine."