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The MCQs below are drawn from the Mathematics subject category.
Showing 21–30
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21
Find the smaller angle between the hands of a clock at 11:53.
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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*53 = 356.50°. 3. Minute hand angle = 6*53 = 318°. 4. Difference = 38.5° (smaller angle).
22
Find the smaller angle between the hands of a clock at 03:47.
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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*47 = 113.50°. 3. Minute hand angle = 6*47 = 282°. 4. Difference = 168.5° (smaller angle).
23
Find the smaller angle between the hands of a clock at 10:56.
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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*56 = 328.00°. 3. Minute hand angle = 6*56 = 336°. 4. Difference = 8.0° (smaller angle).
24
Find the smaller angle between the hands of a clock at 05:51.
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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*51 = 175.50°. 3. Minute hand angle = 6*51 = 306°. 4. Difference = 130.5° (smaller angle).
25
Find the smaller angle between the hands of a clock at 05:11.
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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*11 = 155.50°. 3. Minute hand angle = 6*11 = 66°. 4. Difference = 89.5° (smaller angle).
26
Find the smaller angle between the hands of a clock at 11:23.
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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*23 = 341.50°. 3. Minute hand angle = 6*23 = 138°. 4. Difference = 156.5° (smaller angle).
27
Find the smaller angle between the hands of a clock at 02:20.
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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*2 + 0.5*20 = 70.00°. 3. Minute hand angle = 6*20 = 120°. 4. Difference = 50.0° (smaller angle).
28
Find the smaller angle between the hands of a clock at 10:46.
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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*46 = 323.00°. 3. Minute hand angle = 6*46 = 276°. 4. Difference = 47.0° (smaller angle).
29
Find the smaller angle between the hands of a clock at 06:08.
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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*8 = 184.00°. 3. Minute hand angle = 6*8 = 48°. 4. Difference = 136.0° (smaller angle).
30
Find the smaller angle between the hands of a clock at 03:37.
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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*37 = 108.50°. 3. Minute hand angle = 6*37 = 222°. 4. Difference = 113.5° (smaller angle).
