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Test: Clocks & Calendars (February 8) - CAT MCQ


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10 Questions MCQ Test Daily Test for CAT Preparation - Test: Clocks & Calendars (February 8)

Test: Clocks & Calendars (February 8) for CAT 2024 is part of Daily Test for CAT Preparation preparation. The Test: Clocks & Calendars (February 8) questions and answers have been prepared according to the CAT exam syllabus.The Test: Clocks & Calendars (February 8) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Clocks & Calendars (February 8) below.
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Test: Clocks & Calendars (February 8) - Question 1
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A watch was set right at 7 am. It gains 5 seconds in 3 minutes. In the afternoon of the same day, when the watch indicated 4:15, the true time was

Detailed Solution for Test: Clocks & Calendars (February 8) - Question 1

Watch was set right at 7 am.
Time from 7 am to 4.15 pm = 9 hours 15 minutes = 37/7 hours
3 minutes 5 seconds of this clock = 3 minutes of the correct clock
Thus, 37/720 hours of this clock = 1/20 hours of the correct clock
Therefore, 37/4 hours of this clock = hours of the correct clock
= 9 hours of the correct clock
Therefore, 9 hours 15 minutes of this clock = 9 hours of the correct clock
Hence, the correct time is 9 hours after 7 am i.e. 4 pm.

Test: Clocks & Calendars (February 8) - Question 2
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A clock is so placed that at 12 noon, its minute hand points towards Northeast. In which of the following directions does its hour hand point at 1.30 pm?

Detailed Solution for Test: Clocks & Calendars (February 8) - Question 2


Clearly, Hour hand will point in East direction at 1.30 pm.

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Test: Clocks & Calendars (February 8) - Question 3
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What time will it be 18 hours from now in India, if in USA, it is 4 hours 15 minutes ?
(Given that India is 9 hours 30 minutes ahead of USA)

Detailed Solution for Test: Clocks & Calendars (February 8) - Question 3

We know that the time difference between India and USA is 9 hours 30 minutes.
India is 9 hours 30 minutes  ahead of USA.
Time in India = 4 hours 15 minutes + 9 hours 30 minutes = 13 hours 45 minutes 
Required time after 18 hrs = 13 hours 45 minutes + 18 hrs = 7 hours 45 minutes 
Hence, it is 7 hours 45 minutes  the next morning. 

Test: Clocks & Calendars (February 8) - Question 4
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At what angle are the hands of a clock inclined at 20 minutes past 6 a.m.?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 4

Apply direct formula to calculate the angle:
30 
∴ Required angle = 30 (Take +ve because the hour hand is ahead of the minute hand.)
= 60 + 10 = 70°

Test: Clocks & Calendars (February 8) - Question 5
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At what angle are the hands of a clock inclined at 15 minutes past 5?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 5

Apply direct formula: 30 
Thus, required angle = 30 (Take +ve sign because the hour hand is ahead of the minute hand.)
Thus, required time = 60 + 7.5 = 67.5°

Test: Clocks & Calendars (February 8) - Question 6
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Which of the following years has the same calendar as 1700?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 6


Total number of odd days from 1700 to 1705 is remainder (7/7) i.e. 0.
So, after the year 1705, the year i.e 1706 has the same calendar as 1700.
Therefore, option c is the correct answer.

Test: Clocks & Calendars (February 8) - Question 7
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At what time between 5 and 6 are the hands of a clock coincident?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 7

Hands of the clock will be coincident after, minutes past x, where x is the any whole number from 1 to 12.
∴ Between 5 and 6, the hands will be coincident after, 5 × 5 × minutes past 5

Test: Clocks & Calendars (February 8) - Question 8
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Rocky went out between 7 o'clock and 8 o'clock. At 8:30 p.m., he realised that the minute hand of the clock was as much behind the hour hand as the hour hand was behind the minute hand when he had gone out. At what time after he went out did Rocky look at his watch?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 8

At 8:30 p.m., angular distance between hour hand and minute hand is 
When Rocky went between 7 to 8 p.m., the angular distance was 75 degrees.
Atminutes past 7 o'clock, angle made by minute hand =  
Angle made by hour hand = 
Difference = 310.9 - 235.9 = 75°
Hence, option (a) is the correct option.

Test: Clocks & Calendars (February 8) - Question 9
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If the hands of a clock coincide every 66 minutes (true time), how much does the clock gain or lose every hour?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 9

In a correct clock, the minute hand overlaps the hour hand every minutes.
∴ Gain in 66 minutes =  - 66 = - 6/11 minutes. Negative gain is a loss.
∴ Loss in 1 hour = minutes = 60/121 minutes

Test: Clocks & Calendars (February 8) - Question 10
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At what time between 4:15 a.m. and 5:05 a.m. will the angle between the hour hand and the minute hand of a clock be the same as the angle between the hands at 8:45 p.m?
Detailed Solution for Test: Clocks & Calendars (February 8) - Question 10

At 4 o'clock, the angle between the hands is 120 degrees.
At 8:45 p.m, the angle is

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