Question : The average height of 40 sticks is 156 cm. Some sticks of average height 162 cm are taken out. If the new average height is 150 cm, how many sticks remain?
Option 1: 25
Option 2: 20
Option 3: 16
Option 4: 32
Correct Answer: 20
Solution :
The average height of 40 sticks is 156 cm.
Total height = 40 × 156 cm
Some sticks of average height 162 cm are taken out.
Let that number of sticks be $x$.
According to the question,
$40 × 156 -162x=150(40-x)$
$⇒6240-162x=6000-150x$
$⇒12x=240$
$\therefore x = 20$
So, the remaining sticks = 40 - 20 = 20
Hence, the correct answer is 20.
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