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  • In a exam 52% of the candidates failed in science, 42% in maths and 17% in both. The number of those who passed in both the subjects is  <div clas

In a exam 52% of the candidates failed in science, 42% in maths and 17% in both. The number of those who passed in both the subjects is

 

Option: 1

83%


Option: 2

64%


Option: 3

23%


Option: 4

55.5%


Answers (1)

best_answer

Total students $=100$

Failed in science $n(s)=52$

Failed in math $\mathrm{n}(\mathrm{m})=42$

Failed in both $n(s \& m)=17$

Failed in either math or science $\mathrm{n}(\mathrm{m}$ or $\mathrm{s})$

$\begin{aligned} & \mathrm{N}(\mathrm{m} \text { or } \mathrm{s})=\mathrm{n}(\mathrm{m})+\mathrm{n}(\mathrm{s})-\mathrm{n}(\mathrm{m} \& \mathrm{~s}) \\ & \mathrm{N}(\mathrm{m} \text { or } \mathrm{s})=52+42-17=77\end{aligned}$

Passed in both the subjects $=100-77=23$

Posted by

Nehul

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