Mathematics · Quantitative Aptitude

Number Operations and Properties

896 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 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

If $(2t - 3)(? + 6 + 9) = 8t$$^3$ $- 27$, then ? will be replaced by 

  1. $-4t$$^2$
  2. $5t$$^2$
  3. $4t$$^2$
  4. None of these

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

$8t^3$ $- 27 = (2t)$$^3$ $- (3)$$^3$
$= (2t - 3)$$[(2t)$$^2$ $+ 2t \times 3 + 3$$^2$]
$= (2t - 3)(4t$^2$ + 6t + 9)$
$\because$ $(2t - 3)(4t$$^2$ $+ 6t + 9)$
$= (2t - 3)(a + 6t + 9)$
$\Rightarrow$ $4t$$^2$ $+ 6t + 9 = (a + 6t + 9)$
$\therefore$ $a = 4t$$^2$

Multiple choice maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

Express the number into general form: $753$

  1. $7 \times 10 + 5 \times 100 + 3$
  2. $7 \times 100 + 5 \times 10 - 3$
  3. $7 \times 100 + 5 \times 10 + 3$
  4. $7 \times 100 + 5 \times 10 + 1$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
So, $753 = 7 \times 100 + 5 \times 10 + 3$


So, option C is correct.