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 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 surface area and volume of cube and cuboid length of the diagonal diagonal of cube and cuboid surface area of cubes and cuboids

If the Pythagorean triples of one member is $22$, find the other two members.

  1. $124$ and $122$
  2. $123$ and $122$
  3. $121$ and $122$
  4. $120$ and $122$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

As we know $2m$, $m^{2}+1, m^{2}-1$ form a Pythagorean triplet for any number $m > 1$.


Let us assume $2m = 22$

$\Rightarrow m = 11$

Therefore, $m^{2}+1$ $=$ $11^{2}+1$

$\Rightarrow 121 + 1 = 122$

and $m^{2}-1$ $=$ $11^{2}-1$

$\Rightarrow 121 - 1 = 120$

Hence, the other two members are $120$ and $122$.

Multiple choice business mathematics and statistics introduction to index number introduction to index numbers index numbers applied statistics

Index for base period is always taken as: 

  1. $100$
  2. $1$
  3. $200$
  4. $0$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  Index for base period is always taken as : $100$.

$\Rightarrow$  A base year is the first of a series of years in an economic or financial index. It is typically set to an arbitrary level of 100. 
$\Rightarrow$  New, up-to-date base years are periodically introduced to keep data current in a particular index. 
$\Rightarrow$  Any year can serve as a base year, but analysts typically choose recent years.