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The MCQs below are drawn from the Mathematics subject category.
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61
Find the smaller angle between the hands of a clock at 08:52.
A. 61.00
B. 46.0
C. 66.00
D. 34.00
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Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*8 + 0.5*52 = 266.00°. 3. Minute hand angle = 6*52 = 312°. 4. Difference = 46.0° (smaller angle).
62
Find the smaller angle between the hands of a clock at 09:59.
A. 54.5
B. 74.50
C. 42.50
D. 69.50
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Correct Option
Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*9 + 0.5*59 = 299.50°. 3. Minute hand angle = 6*59 = 354°. 4. Difference = 54.5° (smaller angle).
63
Find the smaller angle between the hands of a clock at 08:42.
A. -3.00
B. 29.00
C. 9.0
D. 24.00
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Correct Option
Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*8 + 0.5*42 = 261.00°. 3. Minute hand angle = 6*42 = 252°. 4. Difference = 9.0° (smaller angle).
64
Find the smaller angle between the hands of a clock at 07:25.
A. 92.50
B. 72.5
C. 87.50
D. 60.50
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Correct Option
Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*7 + 0.5*25 = 222.50°. 3. Minute hand angle = 6*25 = 150°. 4. Difference = 72.5° (smaller angle).
65
Find the smaller angle between the hands of a clock at 03:07.
A. 66.50
B. 71.50
C. 39.50
D. 51.5
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Correct Option
Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*3 + 0.5*7 = 93.50°. 3. Minute hand angle = 6*7 = 42°. 4. Difference = 51.5° (smaller angle).
66
Find the smaller angle between the hands of a clock at 06:28.
A. 26.0
B. 14.00
C. 41.00
D. 46.00
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Correct Option
Explanation
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*6 + 0.5*28 = 194.00°. 3. Minute hand angle = 6*28 = 168°. 4. Difference = 26.0° (smaller angle).
67
Which day of the week was 10/10/2022?
A. Wednesday
B. Monday
C. Tuesday
D. Thursday
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Correct Option
Explanation
Step-by-step solution: 1. Use Zeller's congruence to compute the day of the week. 2. After substituting the values, remainder corresponds to Monday. 3. Therefore, 10/10/2022 fell on a Monday.
68
Which day of the week was 12/2/2024?
A. Thursday
B. Monday
C. Tuesday
D. Wednesday
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Explanation
Step-by-step solution: 1. Use Zeller's congruence to compute the day of the week. 2. After substituting the values, remainder corresponds to Monday. 3. Therefore, 12/2/2024 fell on a Monday.
69
Which day of the week was 23/12/2021?
A. Monday
B. Thursday
C. Tuesday
D. Wednesday
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Correct Option
Explanation
Step-by-step solution: 1. Use Zeller's congruence to compute the day of the week. 2. After substituting the values, remainder corresponds to Thursday. 3. Therefore, 23/12/2021 fell on a Thursday.
70
Which day of the week was 19/7/2024?
A. Monday
B. Tuesday
C. Friday
D. Wednesday
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Correct Option
Explanation
Step-by-step solution: 1. Use Zeller's congruence to compute the day of the week. 2. After substituting the values, remainder corresponds to Friday. 3. Therefore, 19/7/2024 fell on a Friday.
