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 Multiple Choice QuestionsMultiple Choice Questions

1.

A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is

  • 4.20 AM

  • 4.30 AM

  • 4.02 AM

  • 4.02 AM

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2.

If a clock strikes appropriate number of times at each hour, how many times will it strike a day?

  • 300

  • 156

  • 68

  • 68

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3.

A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be

  • 12.30 at night, after 130 days

  • 12 noon, after 135 days

  • 1.30 at night, after 130 days
  • 1.30 at night, after 130 days


B.

12 noon, after 135 days

A wall clock gains 2 min in every 12 hours, so it would gain 6 min in 36 hours.
and table clock losses two minutes in every 36 hours.
So, in every 36 hours they difference between them is 8 min.
They will be at the same time when the difference between them is 12 hours.
Hence, 8  min = 36 hours
So, 1 min difference = 36 over 8
Or 12 x 60 min difference in open parentheses 36 over 8 cross times 12 space cross times space 60 space equals space 3240 space hours close parentheses
or  3240 hours is 135 days.
Hence both clocks will show same time at 12 noon after 135 days.

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4.

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 p.m. will be

  • π/4

  • π/3

  • 5π/12

  • π/2

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