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Q27·CSAT · Prelims 2024

Determining the day of the week for a specific future date

ReasoningCalendarsFactual singleMedium

Question

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

Options

a

25%

b

50%

c

72.75%

d

93.75%

Answer

Explanation

Let the original number be x. Choose a convenient value to avoid fractions; let x = 4.

The correct intended operation was multiplication [cite: 1432, 1434]: Correct Result = 4 × 4 = 16. The mistaken operation performed was division : Mistaken Result = 4 \div 4 = 1.0.

Calculate the percentage change relative to the correct baseline result: Absolute drop = 16 - 1 = 15. Percentage change = Change{Correct Baseline} × 100 = 15/16 × 100.

15/16 × 100 = 15 × 6.25\% = 93.75\%.

For operational error problems, calculate the percentage deviation using the correct intended value as the denominator baseline.

Answer: (d).

Question details

Year

2024

Paper

CSAT

Question

Q27

Section

Logical & Analytical Reasoning

Sub-topic

Calendars

Type

Factual single

Difficulty

Medium

Source hint

Calendar date calculation

Same sub-topic — other years

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