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 concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

Which of the following pairs of integers have 5 as a difference? 

  1. $10, 5$
  2. $-10, -5$
  3. $15,-20$

  4. both (a) and (b)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

(a) $10, 5$

difference $= 10 - 5$
                  $= 5$

(b) $-10, -5$
difference $= -5 - (-10)$
                  $= -5 + 10$
                  $= 5$

(c) $15, -20$
difference $= 15 - (-20)$
                  $= 15 + 20$
                  $= 35$

So answer is both (a) and (b)

Multiple choice maths geometric sequences sum of terms of g.p sum of n terms of an gp summing geometric series

$6^{1/2}\, .\, 6^{1/4}\, .\, 6^{1/8}\, ..... \infty\, =\, ?$ 

  1. 6
  2. $\infty$

  3. 216

  4. 36
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given $6^{\frac{1}{2}}.6^{\frac{1}{4}}.6^{\frac{1}{8}}....\infty$
Here power of 6 are in G.P
Sum of $\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8} ...\infty$

$S _{\infty} = \dfrac{a}{1-r}$
Here $a = \dfrac{1}{2}, r = \dfrac{\dfrac{1}{4}}{\dfrac{1}{2}} = \dfrac{1}{2}$
$S _{\infty} = \dfrac{\dfrac{1}{2}}{1-\dfrac{1}{2}}$
$S _{\infty} = \dfrac{\dfrac{1}{2}}{\dfrac{1}{2}} = 1$
$\therefore S _{\infty} = 6^1 = 6$

Multiple choice maths geometric sequences sum of terms of g.p sum of n terms of an gp summing geometric series

Find $3 + 12 + 48 +...$ up to $5$ terms.

  1. $1023$
  2. $2023$
  3. $3023$
  4. $4023$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given series is $3+12+48+....$ upto $5$ terms
To find the sum of the first $S _n$ terms of a geometric sequence by using the formula,
Here $a = 3, r = 4, n = 5$
$S _n = \dfrac{a _1(1-r^n)}{1-r}$
$S _5 = \dfrac{3(1-(4)^{5})}{1-4}$
$ = \dfrac{3(-1023)}{-3}$
$ = 1023$