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Baban Narang, a shooting expert, once decides to practice his shooting skills by targetting a wall clock. His bullet takes 10 seconds to travel to the clock after leavng his rifle. Just before he fires the bullet, the clock shows 5:30:00 pm. What is the probability that the bullet strikes in the smaller angle made between the minute hand and the second hand? Assume that the bullet definitely hits the clock with all points on the clock being equally likely targets.
  • a)
    121/360
  • b)
    15/36
  • c)
    1/3
  • d)
    131/360
  • e)
    127/360
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Baban Narang, a shooting expert, once decides to practice his shooting...
Initial angle between the minute hand and the second hand is, 
(30/60)x 360 = 180 
Angular velocity of second hand = 360° per minute .Angular velocity of the minute hand = 6° per minute. Relative angular velocity = 354° per minute 
Probability that the bullet strikes within the smaller angle made by the minute hand and the second hand is 121/360.
Hence, option 1.
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Most Upvoted Answer
Baban Narang, a shooting expert, once decides to practice his shooting...
Understanding the Clock Position
At 5:30:00 pm:
- Minute Hand Position: The minute hand is at the 6, which corresponds to 180 degrees (since each minute represents 6 degrees).
- Second Hand Position: The second hand is also at the 6, at 180 degrees.
Since both hands are at the same position (180 degrees), the angle between the minute hand and the second hand is 0 degrees.
Bullet Travel Time
- The bullet takes 10 seconds to reach the clock.
- This means that when the bullet hits the clock, the time will be 5:30:10 pm.
Clock Position at Impact
At 5:30:10 pm:
- Minute Hand Position: The minute hand moves slightly past the 6, specifically 10 seconds past 30 minutes. This is calculated as:
- 30 minutes = 180 degrees.
- Each second moves the minute hand by 0.1 degrees (6 degrees per minute / 60 seconds).
- Therefore, after 10 seconds, the minute hand is at 180 + 1 = 181 degrees.
- Second Hand Position: The second hand points at the 2, which is:
- 10 seconds = 60 degrees (6 degrees per second × 10).
Calculating the Angle Between Hands
- The angle between the minute hand (181 degrees) and the second hand (60 degrees) is:
- |181 - 60| = 121 degrees.
Since the clock is circular, the smaller angle is:
- 360 - 121 = 239 degrees.
Probability Calculation
- The smaller angle between the minute hand and the second hand is 121 degrees.
- The total angles in a clock are 360 degrees.
- Thus, the probability that the bullet strikes in the smaller angle is:
- P = 121/360.
Conclusion
Therefore, the correct answer is option A: 121/360.
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Baban Narang, a shooting expert, once decides to practice his shooting skills by targetting a wall clock. His bullet takes 10 seconds to travel to the clock after leavng his rifle. Just before he fires the bullet, the clock shows 5:30:00 pm. What is the probability that the bullet strikes in the smaller angle made between the minute hand and the second hand? Assume that the bullet definitely hits the clock with all points on the clock being equally likely targets.a)121/360b)15/36c)1/3d)131/360e)127/360Correct answer is option 'A'. Can you explain this answer?
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Baban Narang, a shooting expert, once decides to practice his shooting skills by targetting a wall clock. His bullet takes 10 seconds to travel to the clock after leavng his rifle. Just before he fires the bullet, the clock shows 5:30:00 pm. What is the probability that the bullet strikes in the smaller angle made between the minute hand and the second hand? Assume that the bullet definitely hits the clock with all points on the clock being equally likely targets.a)121/360b)15/36c)1/3d)131/360e)127/360Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Baban Narang, a shooting expert, once decides to practice his shooting skills by targetting a wall clock. His bullet takes 10 seconds to travel to the clock after leavng his rifle. Just before he fires the bullet, the clock shows 5:30:00 pm. What is the probability that the bullet strikes in the smaller angle made between the minute hand and the second hand? Assume that the bullet definitely hits the clock with all points on the clock being equally likely targets.a)121/360b)15/36c)1/3d)131/360e)127/360Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Baban Narang, a shooting expert, once decides to practice his shooting skills by targetting a wall clock. His bullet takes 10 seconds to travel to the clock after leavng his rifle. Just before he fires the bullet, the clock shows 5:30:00 pm. What is the probability that the bullet strikes in the smaller angle made between the minute hand and the second hand? Assume that the bullet definitely hits the clock with all points on the clock being equally likely targets.a)121/360b)15/36c)1/3d)131/360e)127/360Correct answer is option 'A'. Can you explain this answer?.
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