Rahul obtained 20 and 25 marks in first two tests. Find the minim… - Vidyadip

MCQ

Rahul obtained $20$ and $25$ marks in first two tests. Find the minimum marks he should get in the third test to have an average of at least $30$ marks.

A
$60$
B
$35$
C
$180$
✓
$45$

✓

Answer

Correct option: D.

$45$

Average is at least $30$ marks.
Let $x$ be the marks in $3^\text{rd}$ test.
Average $=\frac{(20+25+\text{x})}{3}\geq30$
$\Rightarrow45+\text{x}\geq90$
$\Rightarrow\text{x}\geq90-45$
$\Rightarrow\text{x}\geq45.$
Minimum marks in $3^\text{rd}$ test should be $45.$

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