# Aptitude - Clock

Exercise : Clock - General Questions

- Clock - Formulas
- Clock - General Questions

1.

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Answer: Option

Explanation:

Angle traced by the hour hand in 6 hours = | 360 | x 6 | ° | = 180°. | ||

12 |

2.

The reflex angle between the hands of a clock at 10.25 is:

Answer: Option

Explanation:

Angle traced by hour hand in | 125 | hrs = | 360 | x | 125 | ° | = 312 | 1 | ° | . | ||

12 | 12 | 12 | 2 |

Angle traced by minute hand in 25 min = | 360 | x 25 | ° | = 150°. | ||

60 |

Reflex angle = 360° - | 312 | 1 | - 150 | ° | = 360° - 162 | 1 | ° | = 197 | 1° | . | ||

2 | 2 | 2 |

3.

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

Answer: Option

Explanation:

Angle traced by hour hand in 12 hrs = 360°.

Angle traced by hour hand in 5 hrs 10 min. i.e., |
31 | hrs = | 360 | x | 31 | ° | = 155°. | ||

6 | 12 | 6 |

4.

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

Answer: Option

Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = | 37 | hrs. |

4 |

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 | hrs of this clock = | 1 | hrs of the correct clock. | |

720 | 20 |

37 | hrs of this clock = | 1 | x | 720 | x | 37 | hrs of the correct clock. | |||

4 | 20 | 37 | 4 |

= 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. *i.e.,* 4 p.m.

5.

How much does a watch lose per day, if its hands coincide every 64 minutes?

Answer: Option

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in | 60 | x 60 | min. | = 65 | 5 | min. | |

55 | 11 |

Loss in 64 min. = | 65 | 5 | - 64 | = | 16 | min. | ||

11 | 11 |

Loss in 24 hrs = | 16 | x | 1 | x 24 x 60 | min. | = | 32 | 8 | min. | |

11 | 64 | 11 |

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