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 multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

$5. { 63 } \ \times 11$ is equal to

  1. $62$
  2. $83.\overline { 93 } $
  3. $83.9\overline { 3 } $
  4. $83.93$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$5.\overline { 63 } $
$=5.636363...$
Let $x=5.6363$  (i)
$\therefore 100x=563.6363$  (ii)
Subtracting (i) from (ii) we get,
$=>99x=558$
$=>x=\dfrac{558}{99}$
Now,$5.\overline { 63 }\times 11$
$=>\frac{558}{99}\times 11$
$=>62$

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

Observe the given multiplies of 37
$\displaystyle 37\times 3$ = 111
$\displaystyle 37\times 6$ = 222
$\displaystyle 37\times 9$ = 333
$\displaystyle 37\times 12$ = 444
-----------------------------------------------
-----------------------------------------------
Find the product of $\displaystyle 37\times 27$ ?

  1. 999

  2. Greatest 3 digit number

  3. Either A or B

  4. Smallest 3-digit number
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 37\times 3=37\times \left ( 3\times 1 \right )=111$
$\displaystyle 37\times 6=37\times \left ( 3\times 2\right )=222$
$\displaystyle 37\times 9=37\times \left ( 3\times 3\right )=333$
------------------------------------------
------------------------------------------
$\displaystyle 37\times 27=37\times \left ( 3\times 9 \right )=999$

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

The value of $555 \displaystyle \times   193 - 555 \displaystyle \times  93$ is

  1. $555,931$
  2. $1,210,321$
  3. $53,912$
  4. $55,500$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving the given expression,
$555$  $\displaystyle \times  $ $193 - 555$ $\displaystyle \times  $ $93$
$= 555 \displaystyle \times    (193 - 93)$
$= 555 \displaystyle \times   100 = 55500$

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

What will be the sign of the product if we together multiply $199$ negative integers and $10$ positive integers?

  1. Negative

  2. Positive

  3. Can't say

  4. Data is insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Multiplication of $2$ negative integer result into positive integer.

 
If we multiply $199$ negative integer, then the result will be negative integer

Now if we multiply $10$ positive numbers with $199$ negative integers 

we will get a negative integer because multiplication of negative and positive 
integer will always result in negative integer.

Hence option A is correct.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

$(-12) \times (+21) =$

  1. $-2412$
  2. $-242$
  3. $-252$
  4. $+252$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
We know that the product of two integers with unlike signs is always negative.

We are given the two unlike integers, one with positive sign and one with negative sign that is $-12$ and $+21$ then the product of these integers is:

$(-12)\times (+21)=-(12\times 21)=-252$ which is a negative integer.

Hence, $(-12)\times (+21)=-252$.
Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

One integer is greater than the other by $+4$. If one number is $-16$ then the other is_____.

  1. $+12$
  2. $0$
  3. $-1$
  4. $-12$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the two integers be $x$ and $y$. One of the integer is given, that is $-16$. So let $y=-16$


Also, it is given that one integer is greater than the other by $+4$. Therefore, we have:

$x-y=+4\ \Rightarrow x-(-16)=4\ \Rightarrow x+16=4\ \Rightarrow x=4-16\ \Rightarrow x=-12$

Hence, the other integer is $-12$.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

Product of two integers is $-48$. If one of the integers is $-6$ then the other is

  1. $+1$
  2. $+288$
  3. $0$
  4. $+8$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the other integer be $x$. One of the integer is given that is $-6$.


Also, it is given that the product of the two integers is $-48$. Therefore, we have:

$x\times (-6)=-48\ \Rightarrow -6x=-48\ \Rightarrow 6x=48\ \Rightarrow x=\dfrac { 48 }{ 6 } \ \Rightarrow x=8$

Hence, the other integer is $+8$.