Question

Akshit, Rajat, Sanjay and Nikunj each took the same spelling test.
Akshit spelled $\dfrac{7}{{10}}$ of the words correctly.
Rajat spelled $\dfrac{3}{4}$ of the words correctly.
Sanjay spelled $\dfrac{4}{5}$ of the words correctly.
Nikunj spelled $\dfrac{2}{3}$ of the words correctly.
Who spelled the least number of words correctly?
$
  {\text{A}}{\text{. Akshit}} \\
  {\text{B}}{\text{. Rajat}} \\
  {\text{C}}{\text{. Sanjay}} \\
  {\text{D}}{\text{. Nikunj}} \\
$

Answer 1

Hint: In order to find out who spelled the least number of words correctly, we arrange the fraction of words each person spelled in descending order. Whoever stands last has spelled the least number of words correctly.

Complete step-by-step answer:
Given Data,
Akshit - $\dfrac{7}{{10}}$ of total words
Rajat - $\dfrac{3}{4}$ of total words.
Sanjay - $\dfrac{4}{5}$ of total words.
Nikunj - $\dfrac{2}{3}$ of total words.

Now we compute each of the fractions into decimals to appropriately arrange them in descending order.
 $
   \Rightarrow \dfrac{7}{{10}} = 0.7 \\
   \Rightarrow \dfrac{3}{4} = 0.75 \\
   \Rightarrow \dfrac{4}{5} = 0.8 \\
   \Rightarrow \dfrac{2}{3} = 0.67 \\
$
That means, akshit spelled 0.7 words correctly, rajat spelled 0.75 words correctly, sanjay spelled 0.8 words correctly and nikunj spelled 0.67 words correctly.

The descending order of people who spelled the most number of words correctly is –
0.8 > 0.75 > 0.7 > 0.67
⟹Sanjay > Rajat > Akshit > Nikunj

Therefore Nikunj spelled the least number of words correctly.
Option D is the correct answer.

Note: In order to solve this type of questions the key is to convert all the fractions given in the question into decimals so that we could easily compare them by looking at them.
The value of a fraction can be obtained by just dividing the numerator with the denominator.
Descending order is to arrange all the given elements from the biggest value to the smallest value in a decreasing order.
Ascending order is to arrange the elements in the increasing order, i.e. from smallest value to the biggest value.