Clocks and Calendar - Calendar Problem
Clocks and Calendar - Calendar Problem
Calendar Problem: Day of the week repeats itself after every 7 days.
so, if it is a Thursday on 1 Aug, 2013, then it is a Thursday on
Now, we are sometimes confronted by a problem like, if 10 Aug is a Saturday, what day it will be on 27 Aug.
FIrst, let us find the number of days from 10 Aug to 27 Aug.
27- 10 = 17 days. ( 10 Aug not counted )
Now, if we divide 17 by 7, it leaves a remainder of 3.
Now, these 3 days can be called odd days, which are left off after a complete week.
As 10 Aug was a Saturday, the first odd day would be Sunday, the second Odd day will we Monday
So, the third odd day is Tuesday . Hence, 27 Aug will be a Tuesday.
Illustration: if today is Monday, then after 61 days it will be
A. Wednesday B. Tuesday C. Saturday D. Thursday
Answer: C
Solution:Today is Monday i.e. 1
After 61 days i.e. 5 (Remainder after dividing by 7) would be 1 + 5 = 6 i.e. Saturday
Illustration: On what dates of Aug 1980 did Monday fall?
A. 4th,11th,18th and 25th B. 3rd,10th,17th and 24th C. 6th,13th,20th and 27th D. 9th,16th,23rd and 30th
Answer: A
Solution: Take the date as 1st August 1980
We will consider an year previous to the current year. As current year is 1980 we will take year 1979
Nearest Century year when the number of odd days is zero is 1600
Remaining years = 1979 - 1600 = 379
We know that odd days in 300 years = 1
Remaining years = 79
Odd days in 79 Years = 19 Leap Year + 60 Normal Years
= 19 x 2 odd days + 60 x 1 odd day
= 38 + 60 odd days = 98 odd days = 0 odd day (remainder after dividing 98 by7)
Thus on 31.12.1979 = 1 + 0 = 1 i.e. Monday
Now, in 1980, take odd days of each month upto date i.e. Jan - 3, Feb - 1, Mar - 3, Apr - 2, May - 3, Jun - 2, Jul - 3, Aug - 1 = 18 i.e. 4 (Remainder after dividing 18 by 7)
Thus, on 1st August 1980 = 1 + 4 = 5 i.e.Friday
Thus, Monday would be on 4th, 11th, 18th and 25th
Hence the correct option is A
If 2nd September, 2016 was Friday, how many Fridays were there in the month? | |||
| Right Option : C | |||
| View Explanation | |||
Which year next to 1990 will have the same calendar as that of the year 1990? | |||
| Right Option : C | |||
| View Explanation | |||
Today is Wednesday, what will be the day after 94 days? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
Third consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
Barkha Arora
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
