hello everybody welcome again to another interesting logical reasoning video from career right our topic for today is calendars a topic that a lot of you have demanded and a topic that a lot of you find difficult now if you see any entrance exam or placement test you'll see that at least two to three questions are asked from this chapter calendars and a lot of you find it very difficult to solve those questions but trust me this is a very very easy chapter if you just set your concepts right once and for all and that is what we are going to do in today's video so let's learn the chapter and let's see how to solve these questions in a very easy way okay so before we begin to solve the questions from this chapter it is extremely important to get some concepts right so that you get capable to solve those questions right the first thing when we talk about a calendar all of us know is there are two kind of years that we will meet the first is the normal year that contains 365 days the second type of year that will meet is the leap year and this year contains 360 days right so first of all let us deal with the normal year and as all of us know any year it contains 12 months it contains 52 weeks and if the year is a normal year it contains 365 days now if i try to convert these 365 days into weeks and see how many extra days are left i'll have to divide it by 7 okay so if i divide this 365 by seven and try to convert it into the weeks i see that i can get 52 weeks but i also get one extra day right one extra day which i also call as odd day in this chapter for the purpose of this chapter this day which is the extra day which doesn't become a part of the week is called as the extra day so these 52 weeks they form 364 days while this one extra day is left with us okay so now why am i sharing this information with you i am sharing this information with you because here itself a direct question gets formed in the exams and the question gets formed is if a year begins on say the 1st january falls on wednesday right what will be the day on 31st of december of the same year okay so what else do i have the info what information do i have here i know that the week begins on wednesday so it means the seven days get over on tuesday and this is where the first week gets over right so my second week starts on wednesday and it again gets over on tuesday right so this becomes my second week similarly i'll keep going on and this wednesday it's starting on wednesday ending on tuesday my 52nd week comes here right and i know that this exhausts my 364 days but i'm still left with one extra day one extra day which i also called as odd day for the purpose of this chapter okay so now what will be this day the week has gotten over 50 second week has gotten over on tuesday so this extra day will be wednesday wednesday right now it means that for a normal year for a normal year the week begins and ends on the same day and this is a very very direct question that you'll find in a lot of exams right for a normal year if the year is a normal year it is not a leap year which means the year begins and ends on same day of the week market star and wherever you are taking your notes make sure that you market a start there also because in many many exams you are going to find this as a direct question okay now let's move on to another interesting thing in another interesting concept and another concept based on which you will find another direct question okay okay so now that we have seen a normal year let us talk about a leap year so all of us know that a leap year is a year that contains 366 days in it because it has got a february that contains 29 days in it right now let us take a look at this table in a normal year we see that there are 365 days and we saw that we could convert them into 52 weeks complete weeks and there was a one extra day left with us right what would happen in case of a leap year if i divide this 366 by seven i will get complete 52 weeks but i'll have two extra days left which i'll not be able to put into a week because they are just two days only okay now in case of a normal year we took an example in the last slide let's go back to that example if a normal year begins on a wednesday the first week will get over on a tuesday right first week this will be the second week will again begin on wednesday because tuesday's first week has gotten over so second week begins here so this is my second week and we saw that the 52 weeks get over like this only and i am left with one day and that day again was the wednesday in case of this example and we saw that a normal year starts and ends on the same day now taking the same example if we talk about a leap year if it was a leap year then what would happen it would start on wednesday let's say the 1st of january for this year falls on wednesday for the sleep year the first week we'll get over on tuesday the first week we'll get over the second week will start on wednesday and get over on tuesday similarly i'll keep going and this will happen for 52 weeks right so this is my 52 weeks what is happening now now i am left with two days so in this example this day the first extra day would be n would be a wednesday and the next day in this case become thursday isn't it right so the last day here becomes thursday it means that a leap year for a leap year the year ends the 31st december for this leap year would be the next day of january so if january is on monday 31st december in this case would fall on a tuesday right if it is a tuesday 1st january is a tuesday 31st december would fall on a wednesday this is again a very very important thing because many a times a direct question occurs on this basic concept right so make sure that you take this also properly and understand it properly now the next important thing for us to know is whether a given year is a leap year or a normal year and how do we do that see whenever some years are given to you you can divide them into simple years like 1756 1832 2001 2002 and the others would be century years century years these are the years that end with double zero double zero at end right so these would be years like nineteen hundred two thousand twenty two hundred right so these kind of years they are called as century years and the way to find whether a given year is a leap year or not is different for these general years and century years okay so for general years you just divide the last two digits of the year by 4 right divide them by 4 and if they are completely divisible by 4 the year becomes a leap year so let's see some examples here 1756 here 56 is completely divisible right by four so it is a leap year 1832 eight fours are 32 right it is a leap year 1888 yes 88 is completely divisible so it is a leap year 1929 is 29 completely divisible by 4 no 47s at 28 we are left with one remainder so it is not a leap year 46 is it a leap year 46 no not completely divisible by 4 so it is not a leap year what happens to 1996 96 is it completely divisible by 4 yes it is so it is a leap year so this is the rule for the general years okay now what happens when you come across century years so as we discuss these are the years that have got double zero at their end 1600 1700 1800 these are century years and not all of them are leap years okay and how do we find that for this we divide these century years for uh the century years the division is by 400 okay so 1600 is it completely divisible by 400 yes it is so it is a leap year 1700 is it divisible by 400 no not a leap year 1800 completely divisible by 400 no it is not so not a leap year 1900 completely divisible by 4 400 no it is not so not a leap year 2 000 completely divisible by 400 yes it is so it is a leap year what happens to 2100 2100 divided by 400 no it is not a leap year so do you see a pattern emerging here the 1600 here was a leap year right after that there came three non-leaf ears right and then again came a leap year so when we are talking about the century years when we are talking about the century years between two leap years fall three non leap century ears right so pay attention to this also because this is again information and information that you will require to solve many many questions and it is going to be very useful to you okay great so now let me ask you an interesting question here what do you think does a leap year come after every four years most of us would say yes because that is something that we have learned since childhood now what if i told you that this is not true a leap year does not come after every four years sounds surprising let me show it to you with an example let's take an example of 1896 1900 and 1904 from what we learned just now to find how to find a leap year let us divide 96 by 4 this is a general year sample type of a year so we'll divide it by last two digits by 4 completely divisible so yes this is a leap year 1900 this is a century year so what do we have to do we have to divide by 400 completely divisible by 400 no so it is not a leap year now come to 1904 0 4 completely divisible by 4 yes it is so it is a leap year so you can see from here yourself that a leap year does not come after every four years this is a really really interesting thing that a lot of us do not know okay but this is a really important thing because it will make a lot of difference when you solve the questions you'll require this information to solve the question now you would be wondering why would this happen till now we always learned that we have to divide by four and we will find the number of leap years right but the reason for this to happen is till now we believe that a year has 365 days and six hours right this is what we new till now and because of these six hours these six hours get accumulated and at the end of fourth year we add these six hours and form the leap year right but in reality these are not six hours these are actually five hours 48 minutes and some seconds and it was realized that over the years this difference of approximately 12 minutes in hundreds of years it really makes a difference so it was decided that when we make the calculations we will do we will divide the century years like 1900 1800 2000 we'll divide these century years by 400 and that was the reason why century years or not all century years are leap years like 1900 not a leap year 1800 not a leap year but 2000 is a leap year being a century here also we divided by 400 and it comes out to be a leap year okay so this is again a really really important information that you will require to solve many questions make sure that you pay attention to this also okay now the next information that you'll require to solve the questions from this chapter would be how many leap years fall in a period of 100 years this is a very very important information market three stars i would i would say not just one star market three stars because this is the information that you will require to solve almost all the questions of this chapter okay so uh the question asked is how many leap years fall in a period of 100 years let us take for an example 1 200 these 100 years let's take now by the fact that a leap year falls every four years we should be dividing it by 4 and this should give us 25 leap years and 75 normal years right but just pay attention consider this last hundredth year what happens here this hundredth year is a century year so we cannot divide it by four we have to divide it by four hundred we just saw that right from here it comes out to be that hundred is not divisible completely by 400 so this is a normal year it means my 100th year is a normal year it is not a leap year which means that when i make my calculations here my normal years increased by 1 and my lead years decreased by 1 because of this 100th year right so i have actually 24 leap years and 76 normal years if i consider a period of 100 years now come to this table that i have drawn here so in a period of 100 years we just calculated that we have 24 leap years and 76 normal years now if i take a period of 200 years what would happen i would just double it right because 200 is also a normal year so 48 leap years and 152 normal years if i take it for 300 years what would happen 72 leap years 228 normal years so going by this what happens in a period of 400 years if i from this fact we should be adding 72 plus 24 that is equal to 96 leap years and what we should get the remaining should be the normal years right but we see that i have written here in a period of 400 years there are 97 leap years how is that possible because here again we have to consider that if i consider a period of 400 years this 400th year is a century year here so 400 we will have to divide by 400 is it completely divisible yes it means that this is a leap year so in a period of 400 years we will not have 96 no we will have 97 leap years and the remaining would be normal years does that make sense to you if you find this confusing anywhere just make sure that you pause the video here and just see all this thing that i've explained on this slide very very carefully because this is going to form the base for this chapter don't miss out any information here okay and with this let's move on to the next thing okay now let's come to another important thing that is going to help us solve the questions from this chapter and that forms the base actually of this chapter and it is odd days so the first thing that i would want to know is what is this odd days actually so see for example if i'm given a period of say 10 days okay and i'm required to find out how many weeks can i convert it into and how many lose days i am left with so what i'll do i'll divide this 10 by 7 because a week comprises of seven days so i get one complete week and my remainder here is 3 so this remainder that i get is actually my odd days how let's see so if i divide this 10 by 7 i get one week complete week and three lose days and these lose days that i get these extra days that i get that are not able to become a part of any week complete week i call them odd days okay now let's go a step further suppose i'm given the month of january okay which contains 31 days and i'm required to require to find out how many odd days are there in january so what i'll do is it means i'm required to find out how many days are there which do not become a part of any week in january okay so what i'll do i'll divide this 31 by 7 because a week comprises of 7 days so seven fours are 28 and i'm left with again what i'm left with three my remainder here is three so again these are the number of odd days how let's see 31 days they form four weeks four complete weeks plus the remainder was three so three days and these days are nothing but the odd days or the lose days or the extra days that are not able to become a part of complete week okay now let's go a step further suppose i'm given a year and the year given to me is a year that has got 365 days now what i'll do i'll divide this 365 by 7 right because i want to find out how many weeks and how many extra days i'm left with so i get 52 weeks plus one day right what is this one day this one day is nothing but the odd day because it is not able to become a part of a complete week right now if the year was a leap year what would i get i would get 52 weeks plus two days right and these two days are nothing but the odd days right so just pay attention that whatever the remainder is left after you divide your given number of days by seven that is your number of odd days in that period okay and this remainder can only be 0 1 2 3 4 5 6 because the moment it becomes 7 it will become a complete week so my remainder can only be one of these numbers zero one two three four five six now come to the table that i have gotten for you here okay now these are the codes of the day 0 1 2 3 4 5 6 and here now if it is a 0 i assume it to be a sunday 1 is the code for monday 2 tuesday 3 wednesday 4 thursday 5 friday 6 saturday okay so if you get this much right most of your questions will come out to be right so make sure that you understand this properly and if there is any problem just pause the video here and take a good look at it because this is the concept that you are going to require to solve the questions ahead okay okay so we just saw that if a year comprises of 365 days that is if it is a normal year it will have complete 52 weeks plus one extra day which will call as one odd day right and if it is a leap year with 366 days in that case it would become 52 weeks plus two odd days right two extra days we will have in this case this we have already seen okay now can we use this information to find out the number of odd days in a century yes of course we can let us see with some examples here suppose i take a period of 100 years okay come to the table if i take a period of 100 years i know that there are 24 vpos and there are 76 normal years here so each of these 24 years would have two hour days plus these 76 normal years would have just one uh odd day so i would add just one odd day here right so what does this give me this is equal to 48 plus 76 and the total here becomes 124 days now if i want to find out the number of odd days i have 2 divided by what i have divided by 7 because i want to see how many complete weeks are there so how many complete weeks will be there if i divide 124 by 7 i'll get 17 weeks plus there will be some number of odd days and these odd days will be 5 days because this is going to be the remainder when i divide 1 24 by 7 i'll get 5 as remainder so what i've got i have got 5 odd days let us put this information in that table so if i've got a period of hundred years i have got five odd days here okay now if my period given is 200 years what would happen here in a period of 200 years i know there are 48 leap years so if i have got 48 leap years it means 96 odd days because each year has got 200 days plus 152 normal years and only one or day every normal year so 152 this is what the total hair becomes 248 days right now i want to find out how many odd days are there so what i'll do i'll try to convert it into number of whole weeks and i'll try to see what is the remainder so i'll divide by 7 right what does this give me it gives me what it gives me 35 weeks plus some odd days and what are these odd days these days are nothing but the remainder that i get here and these are three odd days i've already done this calculation you can check it if you want okay so there are three odd days in a period of 200 years okay so three or days here i've filled up in the table now what happens if i have a period of 300 years i'll go in a similar way right so 72 i have got leap years now these can be converted into 144 odd days for these vpos plus 228 odd days for the normal year this is equal to nothing but 372 days i want to convert them into number of hot days i want to find out how many number of orders so i'll divide by 7 and see what is the remainder so how many weeks do i get here i get 53 weeks plus some odd days and what is that that is the remainder of 300 when i divide 372 by 7 that is equal to 1 on day let us fill this information also in the table so in a period of 300 years there will be only one odd day okay now let us see what happens when i get a period of 400 years i have a period of 400 years here what happens i get 97 multiplied by 2 what is it it is 194 194 plus 303 this is nothing but 4 9 7 and when i try to divide it by 7 i get how many weeks and days i get just a whole number that is 71 weeks and there is no remainder 0 days so in a period of 400 years there are zero odd days right and now if you try to go further and try to find out for 500 years 600 years 700 years and 800 years you will see that you will get this pattern will repeat it will become 5 3 1 0 number of odd days again right which means that when it is a leap century year 400 800 1200 then you get zero number of odd days right and now since we know that every century leap year has got zero odd days century leap years what are sanctuary leap years century leap years are the years which can be divided completely by 400 right years like 800 1600 1200 thousand these are century leap years because they can be completely divided by four hundred and we just saw that in every century leap year we have got zero odd days which means the year 1600 will have zero hot days 2000 will have zero hot days 2400 will again have zero odd days and if you just keep this much in mind a lot of questions will become very very easy for you to solve okay now let us begin to solve some questions from this chapter and the first type of question that we find here is what was the day on 6th of april 1896. this is one of the most popular types of questions that you'll find in the any exams okay and trust me this is a very easy variety of question that you can solve very very easily all that you have to do is you have to just apply whatever you have learned till now nothing else okay let's begin to solve the question so see 6th april 1896 it means the time has completed till 1895 these are complete years and 1896's going on so let us try to work out this 1895 first so can i write this 1895 as 1600 plus 200 plus 95 till here it becomes 18 95 and why am i doing this i'm doing this because i want to apply the concept of odd days that i have learned already okay i know that since 1600 is a leap century year it will have zero odd days right 200 years how many hot days are there in 200 years we have already seen and otherwise also i have gotten this table for you at the right top corner see five three one zero this is the number of odd days hundred years five days 200 years three days 300 years one day 400 years zero days okay so from here i know that 200 years have got three odd days now these 95 years these 95 years can be written as a combination of leap year and a and non-leap year so if i divide this 95 by 4 i'll get the number of leap years here okay so what happens when i divide this 95 by 4 i get 23 leap years leap years i get and i get 72 normal years okay now i further know that each leap year has got two hot days so there are 46 odd days here and in this 72 there is just one odd day every year so this is 72 odd days here okay so now this also okay so now let us try to find out how many odd days do we have till now okay so that is 0 plus 3 plus 46 plus 72 so when you add all these three numbers you get 72 plus 46 this is equal to 118 plus 3 121 so these are 121 days here now i can further sum them up into weeks and i can find the number of odd days how can i do that i'll just divide this by 7 so this gives me what 127 by 7 that is equal to 17 weeks plus 2 days 2 is my remainder here when i divide 121 by 7 i get 2 odd days here so this is the information that is going to be useful mean let me circle it okay so i have solved this part okay now let us begin solving the remaining the year that is going on 96 so jan 96 this month has got how many days 31 days february 96 pay attention here 96 is a leap year because it is 96 is divisible by 4. so this has got 29 days here march has got 31 days and there are six days of april with me here okay what is this this is a total of 31 plus 31 is 62 62 plus 6 is uh 68 68 plus 97 so this is a total of 97 days but i am only interested in odd days here so can i find out how many odd days are there to do that i'll divide it by 7 right what do i get i get 13 weeks plus six days and these are the odd days that i get right six odd days and i am only and only interested in odd days okay so i have two odd days from here two word days plus six or days from here so plus six odd days this is equal to eight odd days but now eight i can further divide it by seven right i can divide it by seven and find out because seven days would form a week so this is equal to one week plus one odd day how many odd days i'm left with here one odd day and one odd day our code corresponds to let's see the table two so here it is one is corresponding to monday so this day should be monday you can check out on the internet or in your calendar or wherever you want 6th of april 1896 was a monday and now should i tell you something more interesting about this day this was the day when the olympics started in athens okay this was the day when we started playing olympics again in athens okay this was the first time so quite an interesting question easy nothing difficult here if you are confused anywhere just pause the video take a good look and i'm sure it will solve very easily for you okay let's go ahead okay so let's see one more question what was the day on 25th june 1983 so now when i look at 25th june 1983 i know that the number of years till 1982 are totally complete and it is 1983 that is running so i take 1982 here okay because this is already complete and i can write 1982 as 1600 plus 300 plus 82 right this is what this is 19 82 and when why am i writing it like this i'm writing it like this because i know that 1600 is the nearest century your century leap year that has got zero odd days okay how many odd days are there in 300 years we know from our table see look at the table on the right hand side 300 years it has got one or day so one odd day coming back to our calculation 300 years one odd day now 82 years these 82 years are the years which will comprise of leap years also and non-leap years also normally as also that is so how do i find that i'll divide this 82 by 4 okay when i divide this 82 by 4 what do i get i get 20 lipios ly lipios okay and the remaining 62 are normal ears non-lipios okay so what do i know further from here 20 leap years and each leap year has got two odd days i already know so 20 leap years will have 40 odd days and 62 normal years they will have each normal year has one hot day so they will be 62 only okay so now how many odd days do i have from this first part 1982 part so it is 1 plus 40 plus 62 from here i can calculate my odd days this is equal to what this is equal to 62 plus 63 103 103 and this is total of 103 days and if i try to convert them into weeks and see how many odd days are left how many extra days are left or lose days are left i will have 103 divided by 7 i will have 2 divided by 7 because a week has 7 days from here what do i get from here i get the answer to be 14 weeks plus what plus some odd days and how many odd days these are these are five odd days i've already done this calculation to make the video faster you can check it if you want to okay now i am done with this first part of the calculation and i am interested in this five or days that i've gotten here let's mark them one okay now i'm coming to 1983 the year that is currently running and we want to find 25th of june 1983 it means january february march april may they have passed and 25 days of june are there okay january has how many 31 days february has how many this is a non-leap year 83 is not divisible by 4 so it has got 28 days march again 31 right then what do we have april will have 30 may will have 31 again right and then we have got these 25 days of june right from this we get a total of how many total days are these 31 threes are 19 93 93 plus 30 123 100 plus 20 plus 25 this is equal to 176 days and now i want to find out my odd days from here so what do i do i'll conver i'll divide this by 7 right from there what do i get i get the answer to be 25 weeks plus one odd day my answer would be one odd day here okay and this is the day that i am interested in the odd days the day that i am interested in let's mark it two right so from one and two if we add one and two how many total orders do we have we have a total of five plus one that is equal to six odd days which is less than seven so i cannot divide it by seven any further let's see the table for comp for the to tally it now six odd days it means our as per the code six is saturday the second table that i've got here okay six is saturday so this day has to be a saturday let's check it in on the internet or maybe if you want to see it in your calendar you can do that this day is a saturday now there is something more interesting that i want to tell you about this year this was the date 25th of june 1983. this was the date when india picked up its first cricket world cup led by our famous cricketer kapildev right so interesting see this is pretty easy question isn't it quite easy all that you have to do is you have to apply the concepts that you have learnt and go step by step and as you practice these things become easier for you don't assume that this question will take six minutes or seven minutes for you it will not take that much of time right now it is taking time because you are going step by step otherwise you will quickly come to these five odd days and this one odd day from here and you will quickly come to this six hot days coming to saturday but since you are practicing right now you are learning right now that is why it is taking time otherwise you can easily solve this type of a question in 45 seconds right don't bother just practice okay let's see the next question question number three january 1 2001 was a monday what was the day on december 31 2002 now see if you look at this question and if you think that i'll try to find the number of odd days and i'll go a lengthy way it will become very tough and there is no need to do this because this is a very very easy question you can solve it within 20 seconds not more than that how just see january 1 2001 is what is a monday it is given and we know that if a year is a normal year it starts and ends on the same day so 31st of december 2001 is again going to be a monday right do i make sense we have already learned this initially when we were learning the basics of this chapter okay now this tells me that first jan 2002 is going to be a tuesday and since 2002 is again a non-leap year it means 31st of december will fall on the same day right so it is again going to be tuesday very very simple you can just mark the answer within 20 seconds if you know this basic right so get your basics right make sure that you understand the first part of the video very well and you will be able to solve these type of questions in a very very easy and quick manner okay let's move on to the next question question number four calendar for 2007 will be same as the calendar for which nearest year in future now pay a close attention to the words here nearest year in future okay because what we have already learned is that the calendar repeats in 400 years right so going by that logic our calendar would repeat in 2 2407 but this is far future this is not near future and you may not find this option at all in the question okay so this question otherwise is very simple it is just an application of what you have already learnt and what have we learned we have learned that when the number of odd days number of odd days becomes zero the calendar repeats calendar repeats okay so in this case what we have to do is we have to find out when is it that the number of odd days is becoming zero okay so now we know that 2007 since it is a non-leap year it is a normal year it will have one odd day 2008 leap year it will have two odd days here similarly we will find the number of odd days till 2017 18 or you will keep going on till you are able to find the total number of odd days the uh total number of days that give you zero or days okay how do we do that so one plus two here is you start adding these days okay because from here you are able you are going to be able to find out the number of extra days okay so what do you find here 3 4 5 6 7 8 9 10 11 12 13 14 so 2017 if you add from 2007 to 2017 you get a total of 14 days right and 14 can be completely divided by 14 can be completely divided by 7 it means it gives you 0 remainder right which means it gives you zero odd days right it means they give it gives you zero hot days now if there are zero odd days in 2017 it means the calendar should repeat in 2018 which means that the calendar of 2007 should look same like 2018 but there is a very small thing that you have to pay attention to again it should be that 2018 is a non-leap year so the year that you are arriving at should also be a non-leap year why understand it here 2007 is a non-leap year which means it's 1st january and 31st december fall on the same day 2018 is also a non-leap year so it's 1st january and 31st december would fall on the same day but had this 2018 been a leap year in that case its first january would fall on the same day as 2007 but 31st december would get extended right by one day in that case the calendars would not look same february onwards because in that case the february would be 29 days right for a leap year right so this is an important thing that you have to pay attention to when you mark your answer okay otherwise a pretty simple question an easy one nothing difficult about it all that you have to do is you have to find the number of odd days and when you come across zero odd days the next year for you is going to be a repeat of the calendar okay pretty simple nothing difficult here as such but just apply what you know correct question number five which day can't be the last day of the century now since we are talking about century we are talking about a very long period but do not let this long period get you sweaty i know a lot of students only reading these type of questions they get sweaty but there is no need to do that because this is a very easy question and you can solve it within seconds if you just apply your basics correctly okay and that is the reason i always insist on getting your basics right okay let's see this question when we say 100 century it means we are talking about 100 years 200 years 300 years or 400 years why only till 400 because we know that after this the calendar repeats right so that is why we are considering only these four century century years okay now see uh how many hot days are there in hundred years we have already seen this okay in our basics there are five hot days here 200 years three hot days 300 years one hot day 400 years zero hot days and we also know that these number of odd days they correspond to some days through our code table okay so five we have seen that it corresponds to what it corresponds to a friday if you look at the table on the left hand side it corresponds to a friday three corresponds to what three corresponds to wednesday so the last day of 200 years would be a wednesday what happens to 300 years the last day we have only one odd day so it would be a monday right and what happens to 400 years there are no hot days there are zero hot days here and it corresponds to a sunday right so these are the last days of the century that we see and uh after this the calendar would keep repeating like this so this is the only cycle you are going to get okay and which years do not which days do not make it to this table we have sunday monday tuesday doesn't make it to this table then west is there thursday doesn't make it to this table then friday is there saturday doesn't make it to this table right saturday doesn't make it to this list so tuesday thursday and saturday are the days that can not be the last days of a century okay extremely extremely easy question isn't it just you have to know how to apply your basics correctly and you will even solve the difficult uh looking questions very very easily let's go on to the next one question number six how many days are there in why weeks y days now see this question may look difficult to read but this is an extremely easy question that you can solve within 10 seconds how see here we know that one week is equal to 7 days right so why weeks what would that be that will be equal to 7y days right what is given to you other than this you have y days also with you right so plus y days what is this this is nothing but eight y days right so see how easy the answer is here how easy it is to arrive at the answer here all that you have to do is find the number of days in a week and add them the question is only difficult to read mind it very very carefully so read the question very carefully and tell your mind that this is an extremely easy question and your mind will immediately start looking for the solution that's the most simple trick that i always give to the students make sure that you also apply it okay let's move on to the next question question number seven 15th of january 1977 was a saturday what was the day of the week on 15th of january 1976. trust me an extremely extremely easy question which you can solve in 30 to 40 seconds okay you just have to make a logical application of what you already know and what is it you are given that 15th of january 1977 was a saturday this was a saturday it is given to you now from the code table of the days see this table on the right hand side we already know this table okay we have seen it earlier also so our code for saturday is what it is six so write six here now what is given to you about 1976 15th of january 1976. now 76 this was a leap year right 76 is completely divisible by fourth so this was a leap year it means it has two odd days right two odd days simply subtract this 6 minus 2 okay what do you get you get 4 so 4 is corresponding to which day 4 corresponds to thursday so it means that 15th of january 1976 was a thursday just see this is an application of what you have already learned nothing else okay if you want you can go to your calendars and check 15th of january 1976 was a thursday if you find this question confusing anywhere i would advise that you pause the video here take a careful look at whatever there is on the screen and then go ahead question number eight calendar for the month of april looks same as that for the month of now see this is again a very easy question and the reason i'm calling it easy is because it just needs you to apply the concept of zero or days right the zero or days concept that we were till now applying to years that you have to apply to months now okay and the moment you meet us meet zero odd days the calendar begins to repeat that is what we already know now let us see the month of april is given april has got 30 days let's go forward may has got 31 days june has got 30 days again okay so when you sum all these three up what is the answer that you get you get 91 91 days and then you divide these 91 days by 7 because there are seven days in a week what is the answer you get you get 13 weeks plus zero odd days now that there are zero odd days the calendar is ready to repeat which means the calendar for the month of april will be same as that for the month of july because at the end of june there are no odd days between april and after june there are no hot days so the calendar for the month of april will be same as july right so this is again a very simple thing and you can solve these type of questions very very easily going by the logic of zero or days so guys with this we come to the end of this chapter and i sincerely hope that whatever we have learned today in this video is going to help you solve the questions from this chapter of calendars in a very easy manner if you found this video useful make sure that you give it a thumbs up and share it with your friends also and if you want to stay updated with more logical reasoning and quantitative aptitude videos that you require to crack your placement tests and entrance exams make sure that you subscribe to the channel i'll see you very soon with a new video till then bye bye and take care