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Answer the following question based on the information given below.
There are seven people in a group - A, B, C, D, E, F, and G. There is one cricketer, one engineer, one doctor, one guitarist, and one author, in this group. C and F are unmarried females and they are yet to disclose their profession. No female is a cricketer or a guitarist. There are two married couples in this group. B is the guitarist and is unmarried. D is the author’s husband.
Q.
What is the angle between the hands of the clock at 4:47 p.m.?
- a)136.5°
- b)137°
- c)137.5°
- d)138.5
Correct answer is option 'D'. Can you explain this answer?
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Answer the following question based on the information given below.The...
where; h = number of hours elapsed and m = number of minutes completed in that hour at the required time.
The angle is negative because the minute hand is ahead of the hour hand at this instant.Thus, the angle is 138.5°.
Hence, option 4.
Most Upvoted Answer
Answer the following question based on the information given below.The...
To determine the angle between the hands of a clock at a given time, we need to calculate the difference in the positions of the hour and minute hands.
The hour hand of a clock completes one full rotation in 12 hours, which is equivalent to 360 degrees. Thus, the hour hand moves 360 degrees in 12 hours, or 30 degrees per hour.
The minute hand, on the other hand, completes one full rotation in 60 minutes, which is also equivalent to 360 degrees. Thus, the minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute.
Given that the time is 4:47 p.m., we can calculate the positions of the hour and minute hands as follows:
1. Position of the hour hand:
At 4:47 p.m., the hour hand would have moved 4 hours since 12 o'clock. Therefore, the angle covered by the hour hand can be calculated as:
4 hours * 30 degrees per hour = 120 degrees
2. Position of the minute hand:
At 4:47 p.m., the minute hand would have moved 47 minutes since the top of the hour. Therefore, the angle covered by the minute hand can be calculated as:
47 minutes * 6 degrees per minute = 282 degrees
Now, we can find the difference between the positions of the hour and minute hands:
Angle between the hands = Position of the minute hand - Position of the hour hand
Angle between the hands = 282 degrees - 120 degrees
Angle between the hands = 162 degrees
However, this is not the final answer because the question asks for the angle between the hands at 4:47 p.m., which means we need to consider the angle between the hands at that exact minute.
To calculate the final angle, we need to take into account the fact that the minute hand moves slightly during the time it takes for the hour hand to reach the next hour.
At 4:47 p.m., the hour hand has not yet reached 5 o'clock. So, we need to calculate the additional angle covered by the minute hand during this period.
The hour hand covers 30 degrees in an hour, which means it covers 0.5 degrees in a minute (30 degrees / 60 minutes = 0.5 degrees per minute).
The additional angle covered by the minute hand can be calculated as:
0.5 degrees per minute * 47 minutes = 23.5 degrees
Now, we can find the final angle between the hands:
Final angle between the hands = Angle between the hands at 4:47 p.m. + Additional angle covered by the minute hand
Final angle between the hands = 162 degrees + 23.5 degrees
Final angle between the hands = 185.5 degrees
Rounded to one decimal place, the angle between the hands at 4:47 p.m. is 185.5 degrees.
The hour hand of a clock completes one full rotation in 12 hours, which is equivalent to 360 degrees. Thus, the hour hand moves 360 degrees in 12 hours, or 30 degrees per hour.
The minute hand, on the other hand, completes one full rotation in 60 minutes, which is also equivalent to 360 degrees. Thus, the minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute.
Given that the time is 4:47 p.m., we can calculate the positions of the hour and minute hands as follows:
1. Position of the hour hand:
At 4:47 p.m., the hour hand would have moved 4 hours since 12 o'clock. Therefore, the angle covered by the hour hand can be calculated as:
4 hours * 30 degrees per hour = 120 degrees
2. Position of the minute hand:
At 4:47 p.m., the minute hand would have moved 47 minutes since the top of the hour. Therefore, the angle covered by the minute hand can be calculated as:
47 minutes * 6 degrees per minute = 282 degrees
Now, we can find the difference between the positions of the hour and minute hands:
Angle between the hands = Position of the minute hand - Position of the hour hand
Angle between the hands = 282 degrees - 120 degrees
Angle between the hands = 162 degrees
However, this is not the final answer because the question asks for the angle between the hands at 4:47 p.m., which means we need to consider the angle between the hands at that exact minute.
To calculate the final angle, we need to take into account the fact that the minute hand moves slightly during the time it takes for the hour hand to reach the next hour.
At 4:47 p.m., the hour hand has not yet reached 5 o'clock. So, we need to calculate the additional angle covered by the minute hand during this period.
The hour hand covers 30 degrees in an hour, which means it covers 0.5 degrees in a minute (30 degrees / 60 minutes = 0.5 degrees per minute).
The additional angle covered by the minute hand can be calculated as:
0.5 degrees per minute * 47 minutes = 23.5 degrees
Now, we can find the final angle between the hands:
Final angle between the hands = Angle between the hands at 4:47 p.m. + Additional angle covered by the minute hand
Final angle between the hands = 162 degrees + 23.5 degrees
Final angle between the hands = 185.5 degrees
Rounded to one decimal place, the angle between the hands at 4:47 p.m. is 185.5 degrees.
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Answer the following question based on the information given below.There are seven people in a group - A, B, C, D, E, F, and G. There is one cricketer, one engineer, one doctor, one guitarist, and one author, in this group. C and F are unmarried females and they are yet to disclose their profession. No female is a cricketer or a guitarist. There are two married couples in this group. B is the guitarist and is unmarried. D is the authors husband.Q.What is the angle between the hands of the clock at 4:47 p.m.?a)136.5b)137c)137.5d)138.5Correct answer is option 'D'. Can you explain this answer?
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Answer the following question based on the information given below.There are seven people in a group - A, B, C, D, E, F, and G. There is one cricketer, one engineer, one doctor, one guitarist, and one author, in this group. C and F are unmarried females and they are yet to disclose their profession. No female is a cricketer or a guitarist. There are two married couples in this group. B is the guitarist and is unmarried. D is the authors husband.Q.What is the angle between the hands of the clock at 4:47 p.m.?a)136.5b)137c)137.5d)138.5Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Answer the following question based on the information given below.There are seven people in a group - A, B, C, D, E, F, and G. There is one cricketer, one engineer, one doctor, one guitarist, and one author, in this group. C and F are unmarried females and they are yet to disclose their profession. No female is a cricketer or a guitarist. There are two married couples in this group. B is the guitarist and is unmarried. D is the authors husband.Q.What is the angle between the hands of the clock at 4:47 p.m.?a)136.5b)137c)137.5d)138.5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Answer the following question based on the information given below.There are seven people in a group - A, B, C, D, E, F, and G. There is one cricketer, one engineer, one doctor, one guitarist, and one author, in this group. C and F are unmarried females and they are yet to disclose their profession. No female is a cricketer or a guitarist. There are two married couples in this group. B is the guitarist and is unmarried. D is the authors husband.Q.What is the angle between the hands of the clock at 4:47 p.m.?a)136.5b)137c)137.5d)138.5Correct answer is option 'D'. Can you explain this answer?.
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