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Neha O

· started a discussion

· 1 Months ago

Clock problems (Question:1248851.0)

Short trick to solve clock questions in seconds

Question:

  If the hands of a clock coincide every 65 minutes (true time), how much does the clock gain or loss in 24 hours? / यदि घड़ी की सुईयाँ प्रत्येक 65 मिनट (सही समय) के बाद संपात होती है तो 24 घंटे में घड़ी में कितना समय अधिक या कम लेती है?

Options:
A)

  65 511    minutes  / 65 511   मिनट

B)

  10 10143    minutes / 10 10143   मिनट

C)

  24 hours / 24 घंटे

D)

  None of these / इनमें से कोई नहीं

Solution:

  The minute hand gains 60 min over the hour hand in 60×6055=65511   minutes

Therefore the hands of a correct clock coincide every 65 511   minutes.

But the hands of the clock mentioned in the question coincide every 65 minutes.

Hence in 65 minutes the clock gains 511    minutes.

∴ in 60 × 24 minutes or in 24 hours it gains  511×165   × 60 × 24 minutes = 10 10143    minutes.

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