Decoding a string based on alphanumeric substitution rules
Question
What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?
Options
12.5°
15°
17.5°
20°
Explanation
Use the standard angular formula for the relative position of clock hands: ⟨MATH⟩θ = |30H - 5.5M|⟨/MATH⟩, where H denotes hours and M denotes minutes.
Plug in H = 4 and M = 25: θ = |30(4) - 5.5(25)| θ = |120 - 137.5| θ = |-17.5| = 17.5^\circ[cite: 1656, 1657].
Alternatively, compute using positions: At 25 minutes, the minute hand is exactly on the 5 index (150^\circ). The hour hand started at 4 (120^\circ) and moved forward by 0.5^\circ per minute: 120 + (25 × 0.5) = 132.5^\circ. Difference = 150 - 132.5 = 17.5^\circ.
Answer: (c).
Question details
Year
2024
Paper
CSAT
Question
Q40
Section
Logical & Analytical Reasoning
Sub-topic
Coding & Decoding
Type
Factual single
Difficulty
Medium
Source hint
Coding and decoding pattern
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