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Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Clocks" under Logical Reasoning. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. How many times in a day, the hands of a clock are straight?
- a)22
- b)24
- c)44
- d)48
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solution are ava...
In 12 hours, the hands coincide or are in opposite direction 22 times.
Therefore, In 24 hours, the hands coincide or are in opposite direction 44 times a day.
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Practice Quiz or MCQ (Multiple Choice Questions) with solution are ava...
The hands of a clock are straight
To find out how many times in a day the hands of a clock are straight, we need to understand the concept of a straight hand on a clock and analyze the movement of the clock's hands.
Understanding the concept of straight hands on a clock
The hands of a clock can be considered straight when they overlap or are in line with each other. In other words, the minute hand and the hour hand should form a straight line or overlap each other.
Analysis of the movement of the clock's hands
- In a day, the hour hand completes two full rotations since there are 24 hours in a day.
- The minute hand completes one full rotation in an hour.
- Thus, if we divide the 24-hour period into 24 equal parts, the minute hand will cross the hour hand 24 times.
Determining the number of times the hands are straight
- When the minute hand crosses the hour hand, the hands are either straight or overlap each other. Let's consider these two scenarios separately:
1. Straight hands: In this scenario, the hands form a straight line. This occurs when the minute hand crosses the hour hand between two consecutive hour markings. Since there are 12 hour markings on the clock, this scenario can occur 12 times in a 12-hour period (from 12:00 AM to 12:00 PM) and another 12 times in the second 12-hour period (from 12:00 PM to 12:00 AM). Therefore, the hands are straight 12 + 12 = 24 times in a day.
2. Overlapping hands: In this scenario, the hands overlap each other. This occurs when the minute hand crosses the hour hand exactly on an hour marking. Since there are 12 hour markings, this scenario can occur 12 times in a 12-hour period and another 12 times in the second 12-hour period. Therefore, the hands overlap 12 + 12 = 24 times in a day.
Calculating the total number of times the hands are straight
Since the hands are straight 24 times and overlap 24 times in a day, the total number of times the hands are straight is 24 + 24 = 48 times.
Therefore, the correct answer is option (d) 48.
To find out how many times in a day the hands of a clock are straight, we need to understand the concept of a straight hand on a clock and analyze the movement of the clock's hands.
Understanding the concept of straight hands on a clock
The hands of a clock can be considered straight when they overlap or are in line with each other. In other words, the minute hand and the hour hand should form a straight line or overlap each other.
Analysis of the movement of the clock's hands
- In a day, the hour hand completes two full rotations since there are 24 hours in a day.
- The minute hand completes one full rotation in an hour.
- Thus, if we divide the 24-hour period into 24 equal parts, the minute hand will cross the hour hand 24 times.
Determining the number of times the hands are straight
- When the minute hand crosses the hour hand, the hands are either straight or overlap each other. Let's consider these two scenarios separately:
1. Straight hands: In this scenario, the hands form a straight line. This occurs when the minute hand crosses the hour hand between two consecutive hour markings. Since there are 12 hour markings on the clock, this scenario can occur 12 times in a 12-hour period (from 12:00 AM to 12:00 PM) and another 12 times in the second 12-hour period (from 12:00 PM to 12:00 AM). Therefore, the hands are straight 12 + 12 = 24 times in a day.
2. Overlapping hands: In this scenario, the hands overlap each other. This occurs when the minute hand crosses the hour hand exactly on an hour marking. Since there are 12 hour markings, this scenario can occur 12 times in a 12-hour period and another 12 times in the second 12-hour period. Therefore, the hands overlap 12 + 12 = 24 times in a day.
Calculating the total number of times the hands are straight
Since the hands are straight 24 times and overlap 24 times in a day, the total number of times the hands are straight is 24 + 24 = 48 times.
Therefore, the correct answer is option (d) 48.
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Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Clocks" under Logical Reasoning. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q. How many times in a day, the hands of a clock are straight?a)22b)24c)44d)48Correct answer is option 'C'. Can you explain this answer?
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