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The MCQs below are drawn from the Mathematics subject category.
Showing 51–60
of 8364 MCQs
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51
Find the smaller angle between the hands of a clock at 07:05.
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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*7 + 0.5*5 = 212.50°. 3. Minute hand angle = 6*5 = 30°. 4. Difference = 177.5° (smaller angle).
52
Find the smaller angle between the hands of a clock at 04:44.
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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*4 + 0.5*44 = 142.00°. 3. Minute hand angle = 6*44 = 264°. 4. Difference = 122.0° (smaller angle).
53
Find the smaller angle between the hands of a clock at 05:31.
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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*5 + 0.5*31 = 165.50°. 3. Minute hand angle = 6*31 = 186°. 4. Difference = 20.5° (smaller angle).
54
Find the smaller angle between the hands of a clock at 09:39.
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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*9 + 0.5*39 = 289.50°. 3. Minute hand angle = 6*39 = 234°. 4. Difference = 55.5° (smaller angle).
55
Find the smaller angle between the hands of a clock at 06:38.
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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*6 + 0.5*38 = 199.00°. 3. Minute hand angle = 6*38 = 228°. 4. Difference = 29.0° (smaller angle).
56
Find the smaller angle between the hands of a clock at 05:01.
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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*5 + 0.5*1 = 150.50°. 3. Minute hand angle = 6*1 = 6°. 4. Difference = 144.5° (smaller angle).
57
Find the smaller angle between the hands of a clock at 07:35.
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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*7 + 0.5*35 = 227.50°. 3. Minute hand angle = 6*35 = 210°. 4. Difference = 17.5° (smaller angle).
58
Find the smaller angle between the hands of a clock at 10:06.
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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*10 + 0.5*6 = 303.00°. 3. Minute hand angle = 6*6 = 36°. 4. Difference = 93.0° (smaller angle).
59
Find the smaller angle between the hands of a clock at 11:33.
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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*11 + 0.5*33 = 346.50°. 3. Minute hand angle = 6*33 = 198°. 4. Difference = 148.5° (smaller angle).
60
Find the smaller angle between the hands of a clock at 07:45.
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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*45 = 232.50°. 3. Minute hand angle = 6*45 = 270°. 4. Difference = 37.5° (smaller angle).
