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 calculating and mental strategies 3 finding percentage of a number how many in all? problems on percentage

$45 \% \text { of } 1500 + 35 \% \text { of } 1700 = ? \% \text { of } 3175$

  1. 30

  2. 35

  3. 40

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

$45\%$ of $1500$ is given as 

$\dfrac{45}{100}\times 1500$

$\implies 45\times 15=675$

$35\%$ of $1700$ is given as 

$\dfrac {35}{100}\times 1700$

$\implies 35\times 15=595$

Total is $675+595=1270$

Let the percent be $x$ 

$\implies \dfrac x{100}\times 3175=1270$

$\implies x=\dfrac {1270}{3175}\times 100$

$\implies x=40\%$ 

Multiple choice maths numbers in indian and international systems indian system of numeration numbers to 1 million formation of large numbers

What is the place value of '7' in the number $710, 621, 684$?

  1. $700,000,000$
  2. $7$ millions
  3. $7$ tens
  4. $7$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Place value determines the value of a digit in a number, based on the location of the digit.
$\therefore $ place value of '7' in the number $710, 621, 684 = 700,000,000$

So, option A is correct.

Multiple choice maths numbers in indian and international systems indian system of numeration numbers to 1 million formation of large numbers

Place value of $0$ in $3402894$

  1. $0$

  2. ten thousands

  3. thousands
  4. $20,000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The place value of zero (0) is always 0. It may hold any place in a number, it's value is always 0. As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0. Likewise, the place value of 0 in 3402894 is 0.

So option A is the correct answer.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A boy was asked to multiply a given number by $\displaystyle \frac{8}{17}$. Instead, he divided the given number by $\displaystyle \frac{8}{17}$ and got the result $225$ more than what he should have got if he had multiplied the number by $\displaystyle \frac{8}{17}$. The given number was

  1. $8$
  2. $17$
  3. $64$
  4. $136$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the given number be $x$


According to problem, 

$ 225 + x(\cfrac {8}{17}) = \cfrac{x \times 17}{8}$
$ 225 = \cfrac{17x}{8} - \cfrac{8x}{17}$
$ 225 = \cfrac {225x}{136}$
$ x=136$

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A number is multiplied by $2\displaystyle\frac{1}{3}$ times itself and then $61$ is subtracted from the product obtained. If the final result is $9200$, then the number is __________.

  1. $36$
  2. $63$
  3. $67$
  4. $37$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number is $x$

According to given question, we have
$ x\times \dfrac{7x}{3} -61 = 9200$

$\Rightarrow \dfrac{7x^2}{3}=9261$
$\Rightarrow x^2=9261\times  \dfrac{3}{7}$
$\Rightarrow x^2 =3969$
$\Rightarrow x=\sqrt{3969}$
$\Rightarrow x=63$