CUET · MATHS · PYQ PAPER 2025
From a container full of orange juice, 7.5 liters was drawn out and replaced by soda water.
This process is repeated 5 more time.
The ratio of quantity of orange juice and soda water left in the container is 4:5.
How much liter of orange juice did the container originally had?
(Use \((0.44)^{1 / 6}\) = 0.802)
- A 20.44 litres
- B 30.802 litres
- C 37.9 litres
- D 17.5 litres
Answer & Solution
Correct Answer
(C) 37.9 litres
Step-by-step Solution
Detailed explanation
\( \left(1 - \frac{7.5}{V}\right)^6 = \frac{4}{9} \) \( 1 - \frac{7.5}{V} = \left(\frac{4}{9}\right)^{1/6} \) \( 1 - \frac{7.5}{V} \approx (0.44)^{1/6} \) \( 1 - \frac{7.5}{V} = 0.802 \) \( \frac{7.5}{V} = 1 - 0.802 \) \( \frac{7.5}{V} = 0.198 \) \( V = \frac{7.5}{0.198} \)…
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