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 operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

A student was asked to multiply a certain number by 3 and to add 2 to it, but he divided the number by 3 and subtracted 2 from it and got the number 1. The correct answer is

  1. 9

  2. 25

  3. 29

  4. none of these

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

Let the certain number be x
As per problem,
$\Rightarrow \frac { x }{ 3 } -2=1$
 $\Rightarrow \frac { x-6 }{ 3 } =1$
 $\Rightarrow x-6=3$
 $\Rightarrow x=9$
The correct answer will be $9\times 3+2=27+2=29$

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

The two numbers formed by subtracting one from $5$ and $10$ are:

  1. 11 and 12

  2. 4 and 10

  3. 4 and 9

  4. 5 and 6

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

Let us first subtract one from $5$ as shown below:


$5-1=4$ 

Similarly, subtract one from $10$ as follows:

$10-1=9$ 

Hence, the two numbers formed by subtracting one from $5$ and $10$ are $4$ and $9$.

Multiple choice maths average arithmetic mean of ap introduction to averages means

What is the arithmetic mean of the progression $11, 22, 33, 44, 55, 66, 77?$

  1. $44$
  2. $208$
  3. $308$
  4. $48$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the formula for required arithmetic mean $=\dfrac{\text{sum of the terms}}{\text{number of terms}}$


After substituing the values we get: $=\dfrac{11+22+33+44+55+66+77}{7}$

                                                $\quad \quad \quad =\dfrac{11(1+2+3+4+5+6+7)}{5}=\dfrac{11\cdot 28}{7}=11\cdot 4=44$

Multiple choice maths average arithmetic mean of ap introduction to averages means

Find  AM  of  first $250$  natural numbers.

  1. $115$
  2. $225$
  3. $125$
  4. $125.5$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sum of first 250 natural numbers:

$S=\dfrac{n(n+1)}{2}=\dfrac{250\times 251}{2}$
$\therefore A.M.=\dfrac{S}{n}=\dfrac{250\times 251}{250\times 2}=125.5$