Quantitative Aptitude

Fractions and Percentages

307 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 botany ecosystem energy flow in food chain food chain and energy flow energy flow in ecosystem

The total solar radiation proportion of PAR is

  1. Less than 50%

  2. More than 80%

  3. About 70%

  4. About 60%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sunlight is like a rain of photons of different frequencies. Visible light consists of radiations having a wavelength of 390-760 nm. Part of spectrum used in photosynthesis has a wavelength of 400-700 nm. It is called photosynthetically active radiation (PAR). The proportion of PAR of the total solar radiation is less than 50%. Only 2-10% of PAR is captured by the plants.

Multiple choice botany ecosystem energy flow in food chain food chain and energy flow energy flow in ecosystem

Of the total incident solar radiation the proportion of PAR is 

  1. More than 80%

  2. About 70%

  3. About 60 %

  4. Less than 50 %
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Of the total incident solar radiation the proportion of PAR (photosynthetically active radiation) accounts to less than 50%. Photosynthetically active radiation designates the spectral range of solar radiation from 400 to 700 nanometers, that photosynthetic organisms are able to use in the process of photosynthesis.

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

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%.