Clocks and Calenders
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Transcript of Clocks and Calenders
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Clock and calendar
Vasanth Kumar
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BASIC FORMULAE
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STIRCTLY NO
FORMULAE
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BUT STILL THERE IS
SOMETHING TO
REMEMBER
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a) Odd days : The number of days more thanthe complete number of weeks in a givenperiod is number of odd days during theperiod.
For example, a period of 10 days contains 3odd days, 11 days contains 4 odd days, 12 dayscontains 5 odd days. But period of 14 dayscontains Zero odd days.
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b) Leap Year : Every year which is divisible by 4is called a leap year. But every century whichis divisible by 4 is not a leap year. Everyfourth century is a leap year
c) An ordinary year divisible by 7, we getremainder 1, it means that it has 1 odd day.
Like wise 366 days (leap year ) has 2 odd days.
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If the first day of the year(other than the leap)was Friday, then which was the last of thatyear?
A. Wednesday
B. Thursday
C. FridayD. Sunday
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Ans: C.Friday
Sol.If the year is not a leap year, then the last day
of the year is the same as the first day.
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Today is Wednesday, What will be the dayafter 94 days?
A. MondayB.Wednesday
C. Friday
D. Sunday
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Ans: B. Wednesday
Sol.
Every day of the weeks is repeated after 7 days.Hence if today is Wednesday, then after 94 daysit will be Wednesday .
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If 1st October is Sunday, then 1st Novemberwill be
A. WednesdayB. Friday
C. Sunday
D. Monday
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Ans: A.Wednessday
Sol.Clearly, 1st, 8th, 15th, 22nd and 29th of October
are Sundays.So 31st October is Tuesday.Therefore 1st November will be Wednesday.
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Suganya went to the movies nine days ago. Shegoes to the movies only on Thursday. Whatday of the week is today?
A. Friday
B. Saturday
C. TuesdayD. Thursday
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Ans: B.Saturday
Sol.
Clearly, nine days ago, it was Thursday.Therefore today is Saturday.
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What is the number of odd days in a leap year?
A. 1
B. 2
C.3
D. 4
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Ans: B.2
Sol.
A leap year has 366 days.Now if we divide 366 by 7 it gives 2 as remainder.Hence number of odd days in 366 days is 2.
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1.12.91 is the first Sunday. Which is thefourth Tuesday of December 91?
A. 17.12.91B. 24.12.91
C. 26.12.91
D.31.12.91
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Ans: B.24.12.91
Sol.
1.12.91 is the first Sunday of December 91.So, 3.12.91 is the first Tuesday of the month.Clearly, 10.12.91, 17.12.91, 24.12.91 and 31.12.91 arealso Tuesdays.So, 24.12.91 is the fourth Tuesday.
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If the day before yesterday was Thursday, whenwill Sunday be?
A. TomorrowB. Today
C. Day after tomorrow
D. Two days after today
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Ans: A.Tomorrow
Sol.
If day before yesterday was Thursday, then todayis Saturday.Therefore, tomorrows will be Sunday.
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If Thursday was the day after the day beforeyesterday five days ago, What is the leastnumber of days ago when Sunday was three
days before the day after tomorrow?
A. Two
B. ThreeC. Four
D. Five
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Ans: A.Two
Sol.Day after the day before yesterday is yesterday.
Now, five days ago, yesterday was Thursday.So, five days ago, it was Friday.Therefore today is Wednesday.Now, three days before the day after tomorrow is
yesterday.Now, it is on Monday that we say Yesterday wasSunday.
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The year next to 1990 will have the samecalender as that of the year 1990.
A. 1992B. 1995
C. 1996
D. 1998
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Ans: C.1996
Sol.The year 1990 has 365 days i.e. 1 odd day, year 1991has 365 days i.e., odd day, year 1992 has 366 days
i.e., 2 odd days.Likewise year 1993, 1994, 1995 have 1 odd dayeach.The sum of odd days so calculated from year 1990
to 1995( 1 + 1 + 2 + 1 + 1 + 1 ) = 7 odd days.Hence the year 1996 will have the same calenderas that of the year 1990.
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If the second day of a month is a Friday, whichof the following would be the last day of thenext month which has 31 days?
A. Sunday
B. Monday
C.WednesdayD. Data inadequate
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Ans: D.Data Inadequate
Sol.
The number of days in the current month is notmentioned.
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If 18th February, 1997 falls on Tuesday thenwhat will be the day on 18th February, 1999?
A. MondayB. Tuesday
C.Wednesday
D. Thursday
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Ans: D.Thursday
Sol.
18th February, 1997 was Tuesday.So, 18th February, 1998 was Wednesday.Therefore, 18th February, 1999 will beThursday.
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If day after tomorrow is Saturday, What day
was three days before yesterday?
A. Sunday
B. Monday
C. Tuesday
D. Friday
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Ans: A.Sunady
Sol.
Day after tomorrow is Saturday.So today is Thursday.Thus, yesterday was Wednesday and three daysbefore Wednesday was Sunday.
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Today is Thursday. The day after 59 days willbe?
A. SundayB. Tuesday
C.Wednesday
D. Monday
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Ans: A.Sunday
Sol.
Every day of the week is repeated after 7 days.Hence after 56 days it would be Thursday again.And after 59 days it would be Sunday.
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If the 25th of August in a year is Thursday, thenumber of Mondays in that month is
A. 2B.3
C. 4
D. 5
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Ans: D.5
Sol.25th August is a Thursday.
So, 22nd August is a Monday.So, Mondays fall on 1st, 8th, 15th, 22nd and 29thof August.Thus, there are five Mondays.
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How many days will there be from 26th January,1996 to 15th May, 1996(both days included)?
A. 110B. 111
C. 112
D. 113
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Ans: B.111
Sol.Number of days = (6 + 29 + 31 + 30 + 15 ) =111.
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Saturday was a holiday for Republic Day. 14th ofthe next month is again a holiday forShivratri. What day was it on the 14th?
A. Sunday
B. Monday
C. TuesdayD. Thursday
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Ans: D.Thursday
Sol.As given, Saturday falls on 26th January and we
have to find the day on 14th February.Clearly, 2nd, 9th and 16th February each is aSaturday.Thus, 14th February was a Thursday.
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If February 1, 1996 is wednesday, What day isMarch 3, 1996?
A. SaturdayB. Tuesday
C.Wednesday
D. Monday
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Ans: A.Saturday
Sol.1996 is a leap year and so February has 29 days.
Now, 1st, 8th, 15th, 22nd and 29th February areWednesdays.So, 1st March is Thursday and 3rd March isSaturday.
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X was born on March 6, 1993. The same yearIndependence Day was celebrated on Friday.On which day was X born?
A. Monday
B.Wednesday
C. ThursdayD. Friday
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Ans: C.Friday
Sol.Number of days from March 6, 1993 to August 15,
1993.Mar Apr May June July August
= 25 + 30 + 31 + 30 + 31 + 15= 162 days = 23 weeks + 1 day.
Clearly, the day on March 6 will be the same ason August 15, i.e., Friday.
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If the day before yesterday was Saturday, Whatday will fall on the day after tomorrow?
A. FridayB. Tuesday
C. Thursday
D.Wednesday
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Ans: D.Wednessday
Sol.If day before yesterday was Saturday, then today
is Monday.Thus tomorrow will be Tuesday and day aftertomorrow will be Wednesday.
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If every even Saturday and all Sundays areholidays in a 30 days month beginning onSaturday, then how many working days are
there in that month?
A. 15
B. 18C. 23
D. 25
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Ans: C.23
Sol.Since the month begins on Saturday, so 2nd, 9th,
16th, 23rd, 30th days are Sundays.While 8th and 22nd days are even Saturdays.Thus, there are 7 holidays in all.Therefore number of working days = 30 - 7 = 23.
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If the seventh day of a month is three daysearlier than Friday, What day will it be on
the nineteenth day of the month?
A. Sunday
B. Tuesday
C.WednesdayD. Monday
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Ans: A.Sunday
Sol.The seventh day of the month is three days
earlier than Friday, which is Tuesday.So, the fourteenth day is also Tuesday and thus,the nineteenth day is Sunday.
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If 3rd December, 1990 is Sunday, What day is3rd January 1991?
A. SundayB. Monday
C. Tuesday
D.Wednesday
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Ans: D.Wednessday
Sol.Clearly, 3rd, 10th, 17th, 24th and 31st December
1990 are Sundays.So, 1st January 1991 is Monday and 3rd January1991 is Wednesday
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Answer :5:19
Explanation :Starting with the watch on the left, add 42 minutes to the time
shown to give the time on the next watch to the right.
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Answer : 7:05
Explanation : As you move from left to right, the time shown on each
watch decreases by 12 minutes, then 24, 36 and 48.
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Answer :6:20
Explan
ation
:On each watch, the sum of the
digits shown equals 8.
Answer : 6:20
Explanation : On each watch, the sum of the digits shown equals 8.
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Answer
:
Hand pointing to 5
Explanation : Starting with the top clock and moving anti-clockwise
around the others, the hour hand moves back 1 hour, then 2,
then 3 etc, while the minute hand moves forward 10
minutes each time.
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Thank God..
Its Over