# Aptitude - Clock

Exercise : Clock - General Questions

- Clock - 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

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.

Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in | 60 | x 5 | min | = 5 | 5 | min. | |

55 | 11 |

Required time = 5 | 5 | min. past 7. |

11 |

7.

At what time between 5.30 and 6 will the hands of a clock be at right angles?

Answer: Option

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.

40 min. spaces are gained in | 60 | x 40 | min | = | 43 | 7 | min. | |

55 | 11 |

Required time = 43 | 7 | min. past 5. |

11 |

8.

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

Answer: Option

Explanation:

Angle traced by hour hand in | 13 | hrs = | 360 | x | 13 | ° | = 130°. | ||

3 | 12 | 3 |

Angle traced by min. hand in 20 min. = | 360 | x 20 | ° | = 120°. | ||

60 |

Required angle = (130 - 120)° = 10°.

9.

At what angle the hands of a clock are inclined at 15 minutes past 5?

Answer: Option

Explanation:

Angle traced by hour hand in | 21 | hrs = | 360 | x | 21 | ° | = | 157 | 1 | ° | ||

4 | 12 | 4 | 2 |

Angle traced by min. hand in 15 min. = | 360 | x 15 | ° | = 90°. | ||

60 |

Required angle = | 157 | 1 | ° | - 90° = 67 | 1 | ° | ||

2 | 2 |

10.

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

Answer: Option

Explanation:

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

Angle traced by it in | 11 | hrs = | 360 | x | 11 | ° | = 110°. | ||

3 | 12 | 3 |

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min. = | 360 | x 40 | ° | = 240°. | ||

60 |

Required angle (240 - 110)° = 130°.

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers