BPSC CCE Prelims
Percentage, Ratio, Average Previous Year Questions (PYQs)
Practice solved questions for Percentage, Ratio, Average with detailed step-by-step solutions, key insights, and trend analysis for BPSC CCE PRELIMS.
Solved Previous Year Questions
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Reshma donates one-fourth of her property to a charity organization and divides the remaining property equally among her three children. The part of property each child gets is
Detailed Explanation:
Reshma donates 1/4 of her property, leaving 3/4 remaining.
Dividing equally among 3 children: Each child receives (3/4) ÷ 3 = 3/12 = 1/4 of the total property.
The value of log√2(32) is
Detailed Explanation:
Using the change of base formula: log√2(32) = log(32) / log(√2) = log(25) / log(21/2) = (5·log 2) / ((1/2)·log 2) = 5 / (1/2) = 10.
Alternatively, let log√2(32) = x. Then (√2)x = 32 → (21/2)x = 25 → 2x/2 = 25 → x/2 = 5 → x = 10.
Therefore, the value is 10, making Option 3 the correct answer.
The value of the continued fraction \(2-\frac{1}{2-\frac{1}{2-\frac{1}{\cdots}}}\)
Detailed Explanation:
Let the value of the continued fraction be x. The fraction can be written as x = 2 - 1/x because the pattern repeats infinitely.
Multiplying both sides by x: x² = 2x - 1, which rearranges to x² - 2x + 1 = 0. Factoring gives (x - 1)² = 0, so x = 1.
Therefore, the value of the continued fraction is 1, making Option 1 the correct answer.
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