Quantitative Aptitude

Fractions and Percentages

344 Questions

Fractions and percentages form the foundation of quantitative aptitude, requiring the conversion of values between different formats. Questions cover percentage increases, fractional equivalents, and basic arithmetic manipulations. These concepts are heavily tested in SSC, banking, and railway competitive exams.

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Fractions and Percentages Questions

Multiple choice chemistry introduction to analytical chemistry interpreting a balanced chemical reaction percentage yield stoichiometric calculations

How is percent yield calculated?

  1. $\displaystyle \text { Percent yield } = \dfrac { \text { actual yield } }{ \text { theoretical yield } } \times 100 $
  2. $\displaystyle \text { Percent yield } = \dfrac { \text { actual yield } }{ \text { theoretical yield } \times 100 } $
  3. $\displaystyle \text { Percent yield } = \dfrac { \text { actual yield } }{ \text { theoretical yield } } $
  4. $\displaystyle \text { Percent yield } = \dfrac { \text { theoretical yield } }{ \text { actual yield } } $
  5. $\displaystyle \text { Percent yield } = \text { actual yield } \times \text { theoretical yield } \times 100 $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\displaystyle   \text { Percent yield } = \dfrac { \text { Actual yield } }{ \text { Theoretical yield } } \times  100 $ %

For example,
If actual yield is 10 g and theoretical yield is 20 g, 


Then, percent yield will be-$\displaystyle  \dfrac {10 g}{20g}  \times 100 = 50$ %.


Hence, option $A$ is correct.

Multiple choice maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

$150$ is what percent of $30$?

  1. $5\%$
  2. $20\%$
  3. $50\%$
  4. $200\%$
  5. $500\%$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let the percentage be $x$.

$\dfrac {100\%}{x\%}=\dfrac {30}{150}$
$\Rightarrow \dfrac {100}{x}\times x=\dfrac {30}{150}\times x$ .... Multiply both sides by $x$
$\Rightarrow 100=0.2x$
$\Rightarrow x=500$
Thus, $150$ is $500\%$ of $30$.

Multiple choice maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

If A exceeds B by $40$ %, B is less than C by $20$% , then A : C is :

  1. $28:25$
  2. $26:25$
  3. $283:251$
  4. $287:254$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  Let $C = 100.$

$\Rightarrow$   So B = 20% less than C or 80% of C = $\dfrac{80}{100}\times 100=80$
$\Rightarrow$  So, A = B + 40% of B
$\Rightarrow$   $A=80+80\times \dfrac{40}{100}=112$

$\therefore$   $A:C=\dfrac{A}{C}=\dfrac{112}{100}=\dfrac{28}{25}$

Multiple choice maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

What percentage is equivalent to $\dfrac {5}{8}$ ?

  1. $62.5\%$
  2. $60.5\%$
  3. $625\%$
  4. $60\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We have to find percentage of $\dfrac{5}{8}$

We know $\text{Percentage} = \dfrac{5}{8}\times 100$
Therefore, $\text{Percentage} = \dfrac{500}{8}=62.5\%$

Multiple choice maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

Which one of the following shows the best percentage? 

  1. $\dfrac { 384 } { 540 }$
  2. $\dfrac { 425 } { 500 }$
  3. $\dfrac { 570 } { 700 }$
  4. $\dfrac { 480 } { 660 }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
$(a)\dfrac{384}{540}=\dfrac{384}{540}\times 100\%=71\dfrac{1}{9}\%$

$(b)\dfrac{425}{500}=\dfrac{425}{500}\times 100\%=85\%$

$(c)\dfrac{570}{700}=\dfrac{570}{700}\times 100\%=81\dfrac{3}{7}\%$

$(d)\dfrac{480}{660}=\dfrac{480}{660}\times 100\%=72\dfrac{8}{11}\%$

$\dfrac{425}{500}$ shows the best percentage.
Multiple choice maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

What percent of a day is 3 hours? 

  1. $12 \frac { 1 } { 2 } \%$
  2. $16 \frac { 1 } { 3 } \%$
  3. $18 \frac { 2 } { 3 } \%$
  4. $22 \frac { 1 } { 2 } \%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

No . of hours in a day $24hours$

Percentage of $3$ hrs is given as 

$\dfrac{3}{24}\times 100$

$\dfrac 18\times 100=12\frac 12\%$