Here are some multiple choice questions on the concept of the clock, this concept was discussed in the earlier post over here

concepts-on-solving-problems-based-on-clocks

## Quiz - Clock based problems

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Question 1 |

At what time between 3 and 4 p.m is the first right angle formed

A | 3:15: 45 secs PM |

B | 3:30 PM |

C | 3 PM and 32 min and 43 secs. |

D | 3:25 PM |

Question 1 Explanation:

At 3:00 PM Minute hand is 15 units back to hour hand, to make a right angle it needs to move 15 units + 15 units. Since the relative speed of minute hand to hour hand is 55 units in an hours, it will move 30 units in 30/55 hrs this equal to 32 min and 43 secs.

Question 2 |

A clock is slow by 5 min on 7 AM morning and fast by 5 min at 7 :00 PM evening time same day, at what time it showed correct time.

A | 1 AM |

B | 4 PM |

C | 1 PM |

D | 12 PM |

Question 2 Explanation:

Clock gained 10 min in 12 hrs or 720 min, it will gain 5 min in 360 minor 6 hrs, so correct time is at 1 PM

Question 3 |

A cuckoo clock chimes every hour and no. of chimes is equal to number of hours it strikes. At 4:00 PM it will chime 4 time, also the time gap between chimes is equal to time of chimes sound. i.e if clock chime for 1 sec, it will wait for 1 secs and then chime again. If at 4 PM the clock chimed for 14 sec, then What would be total time duration between the first and last chime of cuckoo clock at 9:00 PM?

A | 22 Secs |

B | 34 secs |

C | 35 Secs |

D | 45 Secs |

Question 3 Explanation:

1. No of chimes is equal to no. of hrs in the clock
2. Unit time for which clock chimes and gap between the chime is same, take the chime time as x.
3. then as problem- at 4:00 PM- Clock will chime for 4 time and gap 3 time. so we can write 4x + 3x = 14 , x = 2
4. At 9:00 PM - Duration between 1st and last chime - 9x + 8x, since x = 2, answers is 34

Question 4 |

Find the degree between hour hand and minute hand at 4:44'

A | 84 |

B | 99 |

C | 94 |

D | 42 |

Question 4 Explanation:

An hour hand moves 0.5 degree in 1 min, at 4 PM it will move 4 x 60 x 0.5 = 120 degree,
Minute hand moves 6 degrees in a minute, in 43 min. it will move = 258 degrees
In 44 min. Hour hand will move 44 x 0.5 = 22 min, so in total hour has moved 120 + 44 = 164 degrees
Difference in angles is = 258 - 164 = 94 Degrees

Question 5 |

A wall clock strikes every hour and no. of bells it sounds is equal to number of hours it strikes. At 2:00 AM it will sound 2 time, also the time gap between bell is equal to half the time of bell sound. i.e if clock striked bell for 2 sec, it will wait for 1 secs and then sound again. If at 2:00 AM the clock started and stopped its bell sound in 10 secs, What would be total time duration between the first and last bell sound of wall clock at 7:00 PM?

A | 20 secs |

B | 25 secs |

C | 40 secs |

D | 15 secs |

Question 5 Explanation:

1. No of chimes is equal to no. of hrs in the clock
2. Unit time for which clock chimes is double gap between the chime is , take the gap between chime time as x.
3. then as problem- at 2:00 AM- Clock will chime for 2 time and gap 1 time. so we can write 4x + x = 10 , x = 2
4. At 7:00 PM - Duration between 1st and last chime - 14x + 6x, since x = 2, answers is 40

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