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 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

$202\times315$ can be expanded as.............

  1. $200\times300+300\times15+2\times200+2\times15$
  2. $200\times300+200\times15+2\times300+2\times15$
  3. $200\times3+300\times2+200\times300+2\times15$
  4. $200\times2+300\times15+200\times300+2\times15$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$202\times 315=63,630$

It can be expanded as,
            $63,630=60,000+3000+600+30$
            $300\times 200+200\times 15+300\times 2+15\times 2$
Therefore, option (B) is correct.

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

In a number system the product of 44 and 11 is 3414 The number 3111 of this system when converted to the decimal number system becomes

  1. 406

  2. 1086

  3. 213

  4. 691
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The product of 44 and 11 is 484
If base is x then 3411
$3x^3+4x^2+1x^1+4x^0=484$
$3x^3+4x^2+x=480$
This equation is satisfy when x=5
then base is 5
In decimal system number 3111 will be  written
$3\times 5^3+1\times 5^2+1\times 5^1+1\times 5^0=406$

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

$3.\overline { 87 } -2.\overline { 59 } =$?

  1. $1.20$
  2. $1.\overline { 2 } $
  3. $1.\overline { 27 } $
  4. $1.\overline { 28 } $
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$3.\overline { 87 } -2.\overline { 59 } =\left( 3+0.\overline { 87 }  \right) -\left( 2+0.\overline { 59 }  \right) $

$=\left( 3+\dfrac { 87 }{ 99 }  \right) -\left( 2+\dfrac { 59 }{ 99 }  \right) $

$=1+\left( \dfrac { 87 }{ 99 } -\dfrac { 59 }{ 99 }  \right) $

$=1+\dfrac { 28 }{ 99 } $

$=1.\overline { 28 } $.