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Find the percentage change in angle between minute hand hour hand from 2 PM to 6 PM.
  • a)
    100
  • b)
    200
  • c)
    250
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the percentage change in angle between minute hand hour hand from...
At 2 PM angle between minute hand and hour hand is 60° and that at 6 PM is 180° hence percentage change is 200%.
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Most Upvoted Answer
Find the percentage change in angle between minute hand hour hand from...
To find the percentage change in the angle between the minute hand and hour hand from 2 PM to 6 PM, we need to calculate the angles at both times and then find the percentage change.

Angle Calculation:
1. At 2 PM, the hour hand will be at the 2-hour mark, which is 60 degrees. The minute hand will be at the 12-hour mark, which is 0 degrees.
2. The minute hand moves 360 degrees in 12 hours, so in 4 hours (from 2 PM to 6 PM), it will move 360 * (4/12) = 120 degrees.
3. The hour hand moves 30 degrees in an hour, so in 4 hours, it will move 30 * 4 = 120 degrees.

Angle at 6 PM:
1. The hour hand will be at the 6-hour mark, which is 180 degrees.
2. The minute hand will be at the 12-hour mark, which is 0 degrees.

Calculating the percentage change:
1. At 2 PM, the angle between the hour hand and minute hand is 60 - 0 = 60 degrees.
2. At 6 PM, the angle between the hour hand and minute hand is 180 - 0 = 180 degrees.
3. The change in angle is 180 - 60 = 120 degrees.
4. The percentage change is (120/60) * 100 = 200%.

Therefore, the correct answer is option B) 200%.
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