# Clock

## Clock

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Question 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?

144º | |

150º | |

168º | |

180º |

Question 1 Explanation:

Angle traced by the hour hand in 6 hours =(360/12x 6)º = 180º.

Question 2 |

The reflex angle between the hands of a clock at 10.25 is:
A.
B.
192 1 º
2
C.

180º | |

(395/2)º | |

185º | |

190º |

Question 2 Explanation:

Angle traced by hour hand in 125/12hrs =(360/12)x(125/12)º = 625/2º.
Angle traced by minute hand in 25 min = (360/60)x 25º= 150º.
Reflex angle = 360º -((625/2)º- 150º) = 360º - (325/2)º= (395/2)º

Question 3 |

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

145º | |

150º | |

155º | |

160º |

Question 3 Explanation:

Angle traced by hour hand in 12 hrs = 360º.
Angle traced by hour hand in 5 hrs 10 min. i.e.,31/6hrs =(360/12) x(31/6) º= 155º.

Question 4 |

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

0º | |

10º | |

5º | |

20º |

Question 4 Explanation:

Angle traced by hour hand in 13hrs = (360/3)x(13/12)º= (130/3)º.
Angle traced by min. hand in 20 min. = (360/60)x 20º = 120º.
Required angle = (130 - 120)º = 10º.

Question 5 |

At 3:40, the hour hand and the minute hand of a clock form an angle of:

120° | |

125° | |

130° | |

135° |

Question 5 Explanation:

Angle traced by hour hand in 12 hrs. = 360°.
Angle traced by it in 11/3hrs =(360/12)x(11/3)°= 110°.
Angle traced by minute hand in 60 min. = 360°.
Angle traced by it in 40 min. = (360/60)x 40)° = 240°.
Required angle (240 - 110)° = 130°.

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