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 roman numbers and numbers upto hundred roman numerals knowing our numbers maths

Perform the following operations and write the answer in Roman form  
$17 + (8 - 5) 5$

  1. XI

  2. XXXII

  3. XV

  4. XXV
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation


$17+(8-5)5$

$17+(3)5$
$17+15$
$32$
Converting to roman

|  Iteration |  Decimal     number |  Highest decimal value |  Highest roman numeral | Number  | | --- | --- | --- | --- | --- | |  $1$ |  $32$ |  $10$ |  $X$ |  $X$ | |  $2$ |   $22$ |  $10$ |  $X$ |  $XX$ | |  $3$ |   $12$ |  $10$ |  $X$ |  $XXX$ | |  $4$ |   $2$ |  $1$ |  $I$ |  $XXXI$ | |  $5$ |   $1$ |  $1$ |  $1$ |  $XXXII$ |

 

So option $B$ is correct.

Multiple choice roman numbers and numbers upto hundred roman numerals knowing our numbers maths

Roman number representation of  $1350$ is?

  1. CCXLV

  2. MCCCL

  3. ML

  4. CXII
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Conversion to roman

 Iteration  Decimal number  Highest decimalvalue  Highest romannumeral  Temporary  result
 $1$  $1350$  $1000$  $M$  $M$
  $2$  $350$  $100$  $C$  $MC$
  $3$  $250$  $100$  $C$  $MCC$
  $4$  $150$  $100$  $C$  $MCCC$
  $5$  $50$  $50$  $L$  $MCCCL$

So $1350$ in roman is $MCCCL$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Which pair of numbers does not have a product equal to $36$?

  1. $\{ -4, -9\}$
  2. $\{ -3, -12\}$
  3. $\left\{ \displaystyle\frac{1}{2} , -72\right\}$
  4. $\{1, 36\}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Option A= Product of $-4$ and $-9$=$-4\times -9=36$

Option B=Product of $-3$ and $-12$= $-3\times -12=36$
Option C= Product of $\dfrac{1}{2}$ and $-72$=$\dfrac{1}{2}\times{-72}=-36$
Option D= Product of $1$ and $36$ = $1\times 36=36$
Option C is the correct answer.

Multiple choice chemistry matter around us measurement of properties effect of temperature and pressure on states of matter general introduction: importance and scope of chemistry

The greatest of the combination is?

  1. $(9.0\pm 0.3)$ S.I unit
  2. $(9.0\pm 0.2)$ S.I unit
  3. $(9.0\pm 0.1)$ S.I unit
  4. $(9.0\pm 0.5)$ S.I unit
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The question asks for the 'greatest of the combination', which refers to the uncertainty. The value with the largest absolute uncertainty (0.5) represents the least precise measurement.

Multiple choice chemistry matter around us measurement of properties effect of temperature and pressure on states of matter general introduction: importance and scope of chemistry

1 atm equals to:

  1. 1 torr

  2. 76 torr

  3. 760 torr

  4. 100 torr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
To convert an atmosphere measurement to a torr measurement, multiply the pressure by the conversion ratio. One atmosphere is equal to 760 torr, so use this simple formula to convert:

torr = atmospheres $\times$ 760
The pressure in torr is equal to the atmospheres multiplied by 760.

Hence, the correct option is $C$
Multiple choice maths equation reducing simple equations to simpler form solving linear equations solution of a linear equation in one variable

Let $a, b$ and $c$ be non-zero numbers such that $c$ is $24$ greater than $b$ and $b$ is $24$ greater than $a$. If $\dfrac {c}{a} = 3$, then find the value of $b$.

  1. $-48$
  2. $-24$
  3. $24$
  4. $48$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the value of $a$ be $x$

Thus, $b$ would be $24+x$
and $c$ is $24+24+x=48+x$.
Given, $\dfrac {c}{a}=3$
Therefore, $\dfrac {48+x}{x}=3$
$\Rightarrow 2x=48$
$\Rightarrow x=24$
Value of $b$ is $24+x=24+24=48$.