Tag: ratio and proportions

Quizzes (6) Questions (141)

Questions Related to ratio and proportions

Multiple choice composition of ratios types of ratios ratio and proportions ratio and proportion maths

The subtriplicate ratio of $64m^{6} : 27n^{3}$ is ____

  1. $27n^{3} : 64 m^{6}$

  2. $4m : 3n$

  3. $4m^{2} : 3n$

  4. $4m^{3} : 3n$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The subtriplicate ratio of $a : b$ is $\sqrt [3]{a} : \sqrt [3]{b}$
$\therefore$ The subtriplicate ratio of $64 m^{6} : 27 n^{3}$ is $\sqrt [3]{64m^{6}} : \sqrt [3]{27n^{3}}$
$= 4m^{2} : 3n$

Multiple choice composition of ratios types of ratios ratio and proportions ratio and proportion maths

_____ is the sub-duplicate ratio of $\dfrac {1}{46} : \dfrac {1}{36}$

  1. $\dfrac {1}{4} : \dfrac {1}{6}$

  2. $\dfrac {1}{2} : \dfrac {1}{6}$

  3. $\dfrac {1}{6} : \dfrac {1}{2}$

  4. $\dfrac {1}{16} : \dfrac {1}{216}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The subduplicate ratio of $\dfrac {1}{4} : \dfrac {1}{36}$ is $\sqrt {\dfrac {1}{4}} : \sqrt {\dfrac {1}{36}} = \dfrac {1}{2} : \dfrac {1}{6}$

Multiple choice composition of ratios types of ratios ratio and proportions ratio and proportion maths

If $a : b = 1 : 1$ and $b : c = 81 : 24$, then the subtriplicate ratio of $a : c$ is ____

  1. $1 : 24$

  2. $3 : 2$

  3. $2 : 3$

  4. $24 : 81$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$a : b = 1 : 1$ and $b : c = 81 : 24$
$\therefore \dfrac {a}{b} \times \dfrac {b}{c} = \dfrac {1}{1} \times \dfrac {81}{24} = \dfrac {27}{8}$
$\therefore a : c = 27 : 8$
$\therefore$ The subtriplicate ratio of $27 : 8$ is $\sqrt [3]{27} : \sqrt [3]{8} = 3 : 2$