Question

In an exam, Noah secured 30% marks and failed by 10 marks. In the same examination, Ava secured 40% marks and got 24 marks more than the minimum marks to pass. What is the maximum mark in the examination?

• A. 260
• B. 500
• C. 340
• D. 380

Answer 1

The correct option is C 340

Maximum marks = $\text{T}$
Minimum passing marks = $\text{N}$

Noah scored 30% and failed by 10 marks.
$\text{(30\% of T) + 10 = N}$

$\Rightarrow \frac{30}{100}\times \text{T}+10=\text{N}$

$\Rightarrow \frac{3\text{T}}{10}+10=\text{N}$

Ava scored 40% and scored 24 more marks than the minimum passing marks.
$\text{(40\% of T) – 24 = N}$

$\Rightarrow \frac{40}{100}\times \text{T}–24=\text{N}$

$\Rightarrow \frac{4\text{T}}{10}–24=\text{N}$

$\Rightarrow \frac{3\text{T}}{10}+10=\frac{4\text{T}}{10}–24$

$\Rightarrow 10+24=\frac{4\text{T}}{10}–\frac{3\text{T}}{10}$

$\Rightarrow 34=\frac{\text{T}}{10}$

$\Rightarrow \text{T}=34\times 10$

$\Rightarrow \text{T}=340$

​​​​​​​So, the maximum mark in the exam is 340.