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.

percentage calculationsfraction conversionspercentage increase problemsnumerator denominator changessuccessive percentages

Fractions and Percentages Questions

Multiple choice commercial applications management of natural resources unequal distribution of resources protecting our environment rules are for everyone

Percentage of methane present in biogas is

  1. 75%

  2. 60%

  3. 50%

  4. 43 - 45%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Biogas refers to a mixture of different gases produced by the breakdown of organic matter in the absence of oxygen. Biogas can be produced from raw materials such as agricultural waste, manure, municipal waste, plant material, sewage, green waste or food waste. Biogas is a renewable energy source. In biogas approximately 60% of methane is present.
So, the correct answer is '60%'
Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Rename the following fraction as percents.
$\cfrac { 44 }{ 400 } $

  1. $10\%$
  2. $11\%$
  3. $!2\%$
  4. $13\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When we talk about percents, we should multiply the number with $100$


So, the given fraction in percents is $\dfrac{44}{400} \times 100 = \dfrac{4400}{400} = 11$ $\%$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

A farmer grows vegetable in his field. In $\dfrac{2}{3}$ of the field, he grows potatoes, in $\dfrac{1}{4}$ he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?

  1. $\dfrac{1}{12}$
  2. $\dfrac{11}{12}$
  3. $\dfrac{3}{4}$
  4. $\dfrac{1}{6}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Part of field in which potatoes are grown $= \dfrac{2}{3}$ 


Part of field in which onions are grown $= \dfrac{1}{4}$ 

$\Rightarrow$ Total part of field covered by potatoes and onions $= \dfrac{2}{3} + \dfrac{1}{4} = \dfrac{11}{12}$

$\therefore$ Remaining part of field in which tomatoes are grown $= 1 - \dfrac{11}{12} = \dfrac{1}{12}$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Which one of the following is same as $30\%$ of $40\%$ of $560$?

  1. $60\%$ of $40\%$ of $280$
  2. $15\%$ of $80\%$ of $280$
  3. $30\%$ of $40\%$ of $280$
  4. $15\%$ of $80\%$ of $140$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

30% of 40% of 560 = $\dfrac{30}{100}\ \ \times\dfrac{40}{100}\ \ \times 560\ \ = 67.2 $



Option A: 
60% of 40% of 280 = $\dfrac{60}{100}\ \ \times\dfrac{40}{100}\ \ \times 280\ \ = 67.2 $


Option B: 
15% of 80% of 280 = $\dfrac{15}{100}\ \ \times\dfrac{80}{100}\ \ \times 280\ \ = 33.6$


Option C: 
30% of 40% of 280 = $\dfrac{30}{100}\ \ \times\dfrac{40}{100}\ \ \times 280\ \ = 33.6$


Option D: 
15% of 80% of 140 = $\dfrac{15}{100}\ \ \times\dfrac{80}{100}\ \ \times 140\ \ = 16.8$


So, 30% of 40% of 560 = 60% of 40% of 280

Option A is correct





Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

The product of two-fifths of a number and $80\%$ of another number is what percent of the product of the numbers

  1. $20\%$
  2. $24\%$
  3. $28\%$
  4. $32\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the two numbers be x and y. The product of 2/5 of x and 80% of y is (0.4x) * (0.8y) = 0.32xy. Since 0.32 is 32%, the result is 32% of the product of the two numbers.

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

The equation for the statement : 'half of a number added to 20 is 25' 

  1. $\displaystyle{\frac{x}{4}}$ + 20 = 25
  2. $\displaystyle{\frac{x}{5}}$ + 25 = 20
  3. $\displaystyle{\frac{x}{2}}$ + 20 = 25
  4. $\displaystyle{\frac{x}{3}}$ + 20 = 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle{\frac{x}{2}}$ + 20 = 25 

Half of the number added to 20 will give the answer 25
$\dfrac{10}{2} +20=25$

Multiple choice commercial applications treasure under the ground conservation of mineral resources distribution and conservation of mineral resources indian mineral and power resources

Thorianite has what percent of thorium ___________.

  1. 5%

  2. 10%-12%

  3. 38-80%

  4. 12%-15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Thorianite is a rare thorium oxide mineral. It has a high percentage of thorium which varies from 38 to 80%. This element contains helium and is less radioactive than pitchblend and is very harder due to its high energy gamma rays.

Multiple choice

5% of 0.03 is what percentage of 0.05

  1. 3%

  2. 30%

  3. 0.3%

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate 5% of 0.03: 0.05 * 0.03 = 0.0015. To find what percentage 0.0015 is of 0.05, divide 0.0015 by 0.05: 0.0015 / 0.05 = 0.03. Converting 0.03 to a percentage gives 3%.

Multiple choice

What would be the ideal BF%

  1. 20%

  2. 10%

  3. 30%

  4. 50%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

An ideal body fat percentage (BF%) for dogs and cats is generally around 15% to 20% (or 20% as a standard baseline). Values significantly higher indicate overweight or obesity, while lower values may indicate underconditioning.