CAT 2023 Time, Speed and Distance Question (Medium)

Question

The minor angle between the hours hand and minutes hand of a clock was observed at . The minimum duration, in minutes, after 8.48 am when this angle increases by is

Accepted Answer

Step 1 Rotation of hour hand Hour hand completes 360 in 12 hours. At 8 hours 48 minutes 8.8 hours from 12 o clock, Angle covered by hour hand 8.8 12 360 264 . Step 2 Rotation of minute hand Minute hand completes 360 in 1 hour. At 48 minutes 48 60 360 288 . Step 3 Initial angular difference Differenc

CAT 2023

Quantitative

Time, Speed and Distance

Medium

The minor angle between the hours hand and minutes hand of a clock was observed at $8: 48 \mathrm{am}$ . The minimum duration, in minutes, after 8.48 am when this angle increases by $50 \%$ is

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