Option 4 : \(5\frac{5}{{11}}\) Minutes past 7
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The two hands of a clock will be in the same straight line but not together between H and (H + 1) o' clock at
\(\left\{ {\begin{array}{*{20}{c}} {\left( {5H - 30} \right)\;\frac{{12}}{{11}}}\\ {Minutes\;past\;H,\;when\;H > 6\;}\\ \;\\ {\left( {5H + 30} \right)\frac{{12}}{{11}}}\\ {minutes\;past\;H.\;when\;H < 6}\\ \; \end{array}} \right.\)
Here H = 7
Hands of the clock will point in opposite directions at
= (5 × 7 - 30)12/11 minutes past 7
= 5 × 12/11 minutes past 7
= 60/11 minutes past 7
\(5\frac{5}{{11}}\) minutes past 7.
Hence, the correct answer is 5(5/11) minutes past 7.
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Exercise :: Clock - General Questions
- Clock - Important Formulas
- Clock - General Questions
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| 12. | The angle between the minute hand and the hour hand of a clock when the time is 8.30, is: | ||||||||||||||||||||||||||||
Answer: Option B Explanation:
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Exercise :: Clock - General Questions
- Clock - Important Formulas
- Clock - General Questions
| 16. | At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other? | ||||||||||||||||||||||
Answer: Option D Explanation:
At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand. To be coincident, it must gain 15 min. spaces. 55 min. are gained in 60 min.
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| 17. | How many times do the hands of a clock coincide in a day? |
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Answer: Option C Explanation:
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock). AM 12:00 1:05 2:11 3:16 4:22 5:27 6:33 7:38 8:44 9:49 10:55 PM 12:00 1:05 2:11 3:16 4:22 5:27 6:33 7:38 8:44 9:49 10:55 The hands overlap about every 65 minutes, not every 60 minutes. |
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Exercise :: Clock - General Questions
- Clock - Important Formulas
- Clock - General Questions
| 6. | At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together? | |||||||||||||||||||||
Answer: Option D Explanation:
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart. At 7 o'clock, they are 25 min. spaces apart. 55 min. spaces are gained in 60 min.
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| 7. | At what time between 5.30 and 6 will the hands of a clock be at right angles? | ||||||||||||||||||||||
Answer: Option B Explanation:
At 5 o'clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. 55 min. spaces are gained in 60 min.
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