Tag: ratio, proportion and unitary method

Quizzes (5) Questions (125)

Questions Related to ratio, proportion and unitary method

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

Find the reduced form of the ratio of the first quantity to second quantity.
$3$ years $4$ months, $5$ years $8$ months.

  1. 17:10

  2. 10:17

  3. 10:15

  4. 15:10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

firstly year change into months

$1$ year = $12$ months 
$3$ years = 12x3 = $36$ months
$5$ years = 12x5 = $60$ months
Then reduced form are in ratio
\begin{array}{l} \frac { { 3\, years\, \, 4\, months } }{ { 5years\, \, 8\, \, months } }  \ =\frac { { \left( { 36+4 } \right) \, \, months } }{ { \left( { 60+8 } \right) \, \, months } }  \ =\frac { { 40 } }{ { 68 } }  \ =\frac { { 10 } }{ { 17 } } =10:17 \end{array}

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

Find the reduced form of the ratio of the first quantity to second quantity.
$7$ minutes $20$ seconds, $5$ minutes $6$ seconds.

  1. 111:345

  2. 234:151

  3. 220:153

  4. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Reduced form of 7 min 20 sec, 5 min 6 sec is 

firstly change minute in second 
\begin{array}{l} \frac { { 7\times 60+20 } }{ { 5\times 60+6 } }  \ =\frac { { 420+20 } }{ { 300+6 } }  \ =\frac { { 440 } }{ { 306 } }  \ =\frac { { 220 } }{ { 153 } } =220:153 \end{array}

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

A class consists of 32 boys and 18 girls then the ratio of number of boys to the total number of students in the class is_____

  1. 16:25

  2. 25:16

  3. 9:25

  4. 25:9
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We have,

Number of boys $=32$

Number of girls $=18$

Then,

Total student in a class

$ =32+18 $

$ =50 $

The ratio of number of boys us

$ =\dfrac{Boys}{Total\,students} $

$ =\dfrac{32}{50} $

$ =\dfrac{16}{25} $

Hence, this is the answer.

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

If $33\displaystyle\frac{1}{3}\%$ of $A=1.5$ of $B=\displaystyle\frac{1}{8}$ of $C$, then what is $A\,\colon\,B\,\colon\,C$?

  1. $5 : 3 : 2$
  2. $9 : 2 : 24$
  3. $6 : 2 : 17$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$33\displaystyle\frac{1}{3}\%$ of $A=1.5$ of $B=\displaystyle\frac{1}{8}$ of $C$ $\Rightarrow\displaystyle\frac{100}{3\times100}A=\displaystyle\frac{3}{2}B=\displaystyle\frac{1}{8}C\;\;\Rightarrow:\displaystyle\frac{1}{3}A=\displaystyle\frac{3}{2}B=\displaystyle\frac{1}{8}C=K:(say)$  $\Rightarrow:A=3K,\,B=\displaystyle\frac{2}{3}K,\,C=8K$  $\Rightarrow:A\,\colon\,B\,\colon\,C=3\,\colon\,\displaystyle\frac{2}{3}\,\colon\,8=3\times3\,\colon\,\displaystyle\frac{2}{3}\times3\,\colon\,8\times3=9\,\colon\,2\,\colon\,24$

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

If $A : B = 1 : 2, B : C = 3 : 4 , C : D = 6 : 9$ and $D : E = 12 : 16,$ then $A : B : C : D : E$ equal to

  1. $1 : 3 : 6 : 12 : 16$
  2. $2 : 4 : 6 : 9 : 16$
  3. $3 : 4 : 8 : 12 : 16$
  4. $3 : 6 : 8 : 12 : 16$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given,

$A : B = 1 : 2, B : C = 3 : 4 , C : D = 6 : 9$ and $D : E = 12 : 16$
$A:B=1:2=1\times 3:2\times 3=3:6$
$B:C=3:4=3\times 2:4\times 2=6:8$
$C:D=6:9=2:3=2\times 4:3\times 4=8:12$
$D:E=12:16$
Thus,
$A:B:C:D:E=3:6:8:12:16$

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

If $\displaystyle\frac{a}{b}=\displaystyle\frac{7}{9},\displaystyle\frac{b}{c}=\displaystyle\frac{3}{5}$, then what is the value of $a\,\colon\,b\,\colon\,c$?

  1. $7:9:15$
  2. $9:7:15$
  3. $7:9:14$
  4. $1:9:15$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given, $\dfrac{a}{b}=\dfrac{7}{9}$ and$\dfrac{b}{c}=\dfrac{3}{5}$
Then $\displaystyle \frac{a}{b}\times \frac{b}{c}=\frac{7}{9}\times \dfrac{3}{5}\Rightarrow \frac{a}{c}=\frac{7}{15}$
$\Rightarrow \dfrac{b}{c}=\dfrac{3}{5}=\dfrac{9}{15}$
$\Rightarrow a:b=7:9$ and $b:c=9:15$

$\Rightarrow \dfrac{a}{b}:\dfrac{b}{c}=\dfrac{7}{9}:\dfrac{9}{15}$
In this $9$ is common. 
Then $ a:b:c=7:9:15$

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

If $A\,\colon\,B=\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3},\,B\,\colon\,C=\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}$, then $A\,\colon\,B\,\colon\,C$ is equal to:

  1. $\;2\,\colon\,3\,\colon\,3$
  2. $\;1\,\colon\,2\,\colon\,6$
  3. $\;3\,\colon\,2\,\colon\,6$
  4. $\;9\,\colon\,6\,\colon\,4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\;A\,\colon\,B=\displaystyle\frac{1}{2} \colon\displaystyle\frac{1}{3}=\displaystyle\frac{1}{2}\times6\ \colon\displaystyle\frac{1}{3}\times6=3\,\colon\,2$


$\;\;\;\;\;\;\;\;B\,\colon\,C=\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}=3\,\colon\,2$

By taking the L.C.M. of $2$ and $3$, i.e., $6$, we can make the value of $B$ equal in both the ratio.

$\;\;\;\;\;\;\;\;\displaystyle\frac{A}{B}=\displaystyle\frac{3}{2}=\displaystyle\frac{9}{6}$ and $\displaystyle\frac{B}{C}=\displaystyle\frac{3}{2}=\displaystyle\frac{6}{4}$

$\;\;\;\;\;\;\;\therefore\,A\,\colon\,B\,\colon\,C=9\,\colon\,6\,\colon\,4$.