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The MCQs below are drawn from the Mathematics subject category.
Showing 41–50
of 8364 MCQs
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41
Find the smaller angle between the hands of a clock at 09:29.
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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*29 = 284.50°. 3. Minute hand angle = 6*29 = 174°. 4. Difference = 110.5° (smaller angle).
42
Find the smaller angle between the hands of a clock at 09:49.
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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*49 = 294.50°. 3. Minute hand angle = 6*49 = 294°. 4. Difference = 0.5° (smaller angle).
43
Find the smaller angle between the hands of a clock at 07:15.
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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*15 = 217.50°. 3. Minute hand angle = 6*15 = 90°. 4. Difference = 127.5° (smaller angle).
44
Find the smaller angle between the hands of a clock at 08:32.
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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*32 = 256.00°. 3. Minute hand angle = 6*32 = 192°. 4. Difference = 64.0° (smaller angle).
45
Find the smaller angle between the hands of a clock at 08:12.
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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*12 = 246.00°. 3. Minute hand angle = 6*12 = 72°. 4. Difference = 174.0° (smaller angle).
46
Find the smaller angle between the hands of a clock at 03:27.
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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*3 + 0.5*27 = 103.50°. 3. Minute hand angle = 6*27 = 162°. 4. Difference = 58.5° (smaller angle).
47
Find the smaller angle between the hands of a clock at 08:02.
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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*2 = 241.00°. 3. Minute hand angle = 6*2 = 12°. 4. Difference = 131.0° (smaller angle).
48
Find the smaller angle between the hands of a clock at 03:17.
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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*3 + 0.5*17 = 98.50°. 3. Minute hand angle = 6*17 = 102°. 4. Difference = 3.5° (smaller angle).
49
Find the smaller angle between the hands of a clock at 04:14.
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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*14 = 127.00°. 3. Minute hand angle = 6*14 = 84°. 4. Difference = 43.0° (smaller angle).
50
Find the smaller angle between the hands of a clock at 02:10.
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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*2 + 0.5*10 = 65.00°. 3. Minute hand angle = 6*10 = 60°. 4. Difference = 5.0° (smaller angle).
