This EduRev document offers 10 Multiple Choice Questions (MCQs) from the topic Clocks & Calendars (Level - 2). These questions are of Level - 2 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:At what time between 5:30 and 6:00 will the hands of a clock be at right angles?
Explanation
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 =
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:How many times do the hands of a clock coincide in a day?
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself: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?
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:The year after 1988 having the same calendar as that of 1988 is
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:If the day on 4th April, 1988 was a Monday, then what was the day on 3rd November, 1987?
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:The year next to 1991 having the same calendar as that of 1991 is
Explanation
Year 2002, after 14 odd days, has the same calendar as 1991.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself: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
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:How many days are there from 2nd January, 1990 to 15th March, 1990? (both days included)
Explanation
Number of days = 30 (January) + 28 (February) + 15 (March) = 73
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself: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?
Explanation
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.
Question for Practice Questions Level 2: Clocks & Calendars - 1
Try yourself:How many times a day are the hands of a clock straight but opposite in direction?
Explanation
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.