Vedadots
Q3940/80Q41
Q40·CSAT · Prelims 2024

Decoding a string based on alphanumeric substitution rules

ReasoningCoding & DecodingFactual singleMedium

Question

What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

Options

a

12.5°

Answer
b

15°

c

17.5°

d

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.

The absolute angle between clock hands at any time is given by the formula θ = |30H - 5.5M|.

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

See all questions on Coding & Decoding

Browse every tagged question across all years

Explore →