CUET UG 2025 — General Test Logical Reasoning

The minute hand completes a full circle (360°) in 60 minutes, moving 6° per minute.

The hour hand completes a full circle (360°) in 12 hours (720 minutes), moving 0.5° per minute. Each hour gap is 30° (360° ÷ 12), and the hour hand takes 60 minutes to cover it.

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At 8:40, the minute hand is at 40 minutes.

Position from 12 o'clock:

$$40 \times 6° = 240°$$40×6°=240°

The minute hand is pointing at "8" on the clock.

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At exactly 8:00, the hour hand would be at:

$$8 \times 30° = 240°$$8×30°=240°

However, 40 minutes have passed, so the hour hand has moved ahead:

$$40 \times 0.5° = 20°$$40×0.5°=20°

Hour hand position:

$$240° + 20° = 260°$$240°+20°=260°

The hour hand is between 8 and 9, closer to 9.

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Angle between the hands:

$$|260° - 240°| = 20°$$∣260°−240°∣=20°

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Using the formula $|30H - \frac{11M}{2}|$∣30H−211M​∣ where $H$H = hours and $M$M = minutes:

$$|30(8) - \frac{11(40)}{2}|$$∣30(8)−211(40)​∣

$$= |240 - 220|$$=∣240−220∣

$$= 20°$$=20°

Therefore, the angle between the hands at 8:40 is $20°$20° (Option 1).