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Test Level 2: Clocks & Calendars - 1 - CAT MCQ


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10 Questions MCQ Test - Test Level 2: Clocks & Calendars - 1

Test Level 2: Clocks & Calendars - 1 for CAT 2024 is part of CAT preparation. The Test Level 2: Clocks & Calendars - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Clocks & Calendars - 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Clocks & Calendars - 1 below.
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Test Level 2: Clocks & Calendars - 1 - Question 1

At what time between 5:30 and 6:00 will the hands of a clock be at right angles?

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 1

At 5 o'clock, the hands are 25 minute space apart.
To be at right angle, that too between 5:30 and 6:00, the minute hand has to gain (25 + 15) or 40 minute space.
55 minute space is gained in 60 minutes.
40 minute space is gained in 40 ×
Therefore, required time =  

Test Level 2: Clocks & Calendars - 1 - Question 2

How many times do the hands of a clock coincide in a day?  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 2

The hands will coincide once every hour, except from 11 to 1, when the hands coincide once in two hours at 12. Thus, the hands coincide 11 times in 12 hours or 22 times in 24 hours.

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Test Level 2: Clocks & Calendars - 1 - Question 3

My watch, which gains uniformly, is 2 minutes behind at noon on Saturday. It is 4 minutes and 48 seconds ahead at 3:00 p.m. the following Monday. When does it show the correct time?  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 3

From Saturday noon to the following Monday till 3 p.m, total time = 51 hours
Now, minutes are gained in 51 hours.
1 minute shall be gained in 51 × (5/34) hours.
Thus, 2 minutes shall be gained in (2 × 51) × (5/34) hours = 15 hours after 12:00 p.m. Saturday, i.e. 3:00 a.m. Sunday.

Test Level 2: Clocks & Calendars - 1 - Question 4

The year after 1988 having the same calendar as that of 1988 is  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 4

Every leap year repeats its calendar after 28 years.
Since year 1988 was a leap year, the calendar of year 2016 will be the same as that of year 1988.

Test Level 2: Clocks & Calendars - 1 - Question 5

If the day on 4th April, 1988 was a Monday, then what was the day on 3rd November, 1987?  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 5

1988 April 4th to 1987 November 3rd, we have 27 + 31 + 31 + 29 + 31 + 4 = 153 Days = 21 weeks + 6 odd days.
Six days before(because later date is given and former date is asked) a Monday comes a Tuesday.

Test Level 2: Clocks & Calendars - 1 - Question 6

The year next to 1991 having the same calendar as that of 1991 is  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 6


Year 2002, after 14 odd days, has the same calendar as 1991.

Test Level 2: Clocks & Calendars - 1 - Question 7

If today is 1st August, the day is Monday and it is a leap year, then the day of the week on this day, after 3 years, will be  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 7

As the given year is a leap year, so 1st August in the next year will be Tuesday. After 2 years, it will be Wednesday.
After 3 years, it will be Thursday.

Test Level 2: Clocks & Calendars - 1 - Question 8

How many days are there from 2nd January, 1990 to 15th March, 1990? (both days included)  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 8

Number of days = 30 (January) + 28 (February) + 15 (March) = 73

Test Level 2: Clocks & Calendars - 1 - Question 9

A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1:00 p.m. the following day?

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 9

From 8 a.m. today to 1 p.m. the following day, there are a total of 29 hours. Also, our clock is gaining 10 minutes in 24 hours.
∴ In a day, 1450 (24 × 60 + 10) minutes of our clock means 1440 (24 × 60) minutes of true time.
1 minute of our clock means 1440/1450 minutes of true time.
(29 × 60) minutes of our clock = 1440/1450  × 29 × 60 minutes of true time
= 28.8 × 60 minutes of true time
= 28 hours 48 minutes of true time
Thus, the true time will be 48 minutes past 12.

Test Level 2: Clocks & Calendars - 1 - Question 10

How many times a day are the hands of a clock straight but opposite in direction?  

Detailed Solution for Test Level 2: Clocks & Calendars - 1 - Question 10

Hands of the clock are straight when they are coinciding and when they are pointing towards each other (30 min spaces apart). Hands will coincide once every hour except from 11 to 1 where hands are coinciding once in two hours at 12. Thus, hands will coincide 11 times in 12 hours or 22 times in 24 hours.

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