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At what time between 1'O clock and 2'O clock the hands of the clock are opposite to each other.
- a)34(6/11) past 1'Oclock
- b)38(2/11)past 1'Oclock
- c)56(8/11)past 1'Oclock
- d)64(9/11)past 1'Oclock
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
At what time between 1O clock and 2O clock the hands of the clock are ...
The minute hand to coincide with the hour hand it should trace at first 5 minute spaces and then the hands of the clocks to be opposite to each other minute hand should trace 30 minute spaces i.e. totally it should gain 5 + 30 = 35 minute spaces to be opposite to that of hour hand.
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11).
Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1'O clock. Therefore, Correct option is B.
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11).
Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1'O clock. Therefore, Correct option is B.
Most Upvoted Answer
At what time between 1O clock and 2O clock the hands of the clock are ...
Explanation:
Concept:
When the hands of the clock are opposite to each other, they are 180 degrees apart. To find the exact time when this happens, we need to calculate the angle between the hour and minute hands.
Calculations:
1. Calculate the minute hand's position:
- At 10:00, the minute hand points at 12 and is 0 minutes away.
- Calculate how far the minute hand moves in one minute: 360 degrees / 60 minutes = 6 degrees per minute.
- At 38(2/11) minutes past 10, the minute hand is at: 38(2/11) * 6 = 228 + 12 = 240 degrees.
2. Calculate the hour hand's position:
- At 10:00, the hour hand points at 10 and is 0 minutes away.
- Calculate how far the hour hand moves in one minute: 360 degrees / (12 hours * 60 minutes) = 0.5 degrees per minute.
- At 38(2/11) minutes past 10, the hour hand is at: 38(2/11) * 0.5 = 19 + 10 = 29 degrees.
3. Calculate the angle between the hour and minute hands:
- The angle between the hour and minute hands is: |240 - 29| = 211 degrees.
4. Verify if the hands are opposite:
- Since 211 degrees is less than 180 degrees, the hands are not opposite at 38(2/11) past 10.
Therefore, the correct answer is option B. 38(2/11) past 10 o'clock.
Concept:
When the hands of the clock are opposite to each other, they are 180 degrees apart. To find the exact time when this happens, we need to calculate the angle between the hour and minute hands.
Calculations:
1. Calculate the minute hand's position:
- At 10:00, the minute hand points at 12 and is 0 minutes away.
- Calculate how far the minute hand moves in one minute: 360 degrees / 60 minutes = 6 degrees per minute.
- At 38(2/11) minutes past 10, the minute hand is at: 38(2/11) * 6 = 228 + 12 = 240 degrees.
2. Calculate the hour hand's position:
- At 10:00, the hour hand points at 10 and is 0 minutes away.
- Calculate how far the hour hand moves in one minute: 360 degrees / (12 hours * 60 minutes) = 0.5 degrees per minute.
- At 38(2/11) minutes past 10, the hour hand is at: 38(2/11) * 0.5 = 19 + 10 = 29 degrees.
3. Calculate the angle between the hour and minute hands:
- The angle between the hour and minute hands is: |240 - 29| = 211 degrees.
4. Verify if the hands are opposite:
- Since 211 degrees is less than 180 degrees, the hands are not opposite at 38(2/11) past 10.
Therefore, the correct answer is option B. 38(2/11) past 10 o'clock.
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At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer?.
At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what time between 1O clock and 2O clock the hands of the clock are opposite to each other.a)34(6/11) past 1Oclockb)38(2/11)past 1Oclockc)56(8/11)past 1Oclockd)64(9/11)past 1OclockCorrect answer is option 'B'. Can you explain this answer?.
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