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Q26·CSAT · Prelims 2024

Finding the angle between the hands of a clock at a given time

ReasoningClocksFactual singleEasy

Question

P's salary is 20% lower than Q's salary which is 20% lower than R's salary. By how much percent is R's salary more than P's salary?

Options

a

48.75%

b

56.25%

Answer
c

60.50%

d

62.25%

Explanation

Use a backward-chaining baseline strategy starting with R's salary . Let R's salary = 100. Q's salary is 20\% lower than R's : 100 - 20 = 80. P's salary is 20\% lower than Q's: 80 - (20\% of 80) = 80 - 16 = 64.

Now, calculate by how much percent R exceeds P: Absolute difference = R - P = 100 - 64 = 36. Required percentage = Difference{P} × 100 = 36/64 × 100.

Simplify the fraction: 9/16 × 100 = 900/16 = 56.25\%.

When evaluating sequential percentage drops ("A lower than B lower than C"), always assign 100 to the final base variable to keep calculations additive.

Answer: (b).

Question details

Year

2024

Paper

CSAT

Question

Q26

Section

Logical & Analytical Reasoning

Sub-topic

Clocks

Type

Factual single

Difficulty

Easy

Source hint

Clock angle calculation

Same sub-topic — other years

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