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Number System || Finding Remainder ? (LESSON-4) — Transcript

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0:01first of all thanks for being here
0:04in my youtube channel so in this lesson
0:06number four
0:07on the topic number system now we are
0:10going to learn a concept called a
0:12reminder theorem
0:13so reminder theorem is nothing but to
0:15find a reminder of the number
0:17usually they will give some sort of
0:18question for example 23 power
0:215 divided by 5 so we have to solve the
0:24question we have to divide the numbers
0:26and we have to find the reminder for it
0:29right so those type of questions we are
0:31going to learn
0:32in this lesson number four so listen
0:34here friends lesson number three that is
0:36previous lesson
0:37is most important lesson finding a unit
0:40digit
0:40got it so this reminder theorem is a
0:43rare case right in the exams
0:45most of the competitive exams usually
0:47they will concentrate on the
0:49previous lesson unit digit but if you
0:52are preparing for
0:53cat exams or else a gate exams
0:56or else ssc exams those students should
0:59concentrate on this
1:00reminder theorem also so friends listen
1:03here
1:04this reminder theorem is subdivided into
1:07two categories
1:08one is finding a reminder for the normal
1:12numbers
1:13got it so normal numbers let me take 23
1:16by 5.
1:17so they usually give a question like
1:19this and our target is to find what is
1:21the reminder
1:22got it it's a normal numbers and the
1:24second will be
1:26a polynomial numbers polynomial numbers
1:29is nothing but for example
1:30x square plus 7 x plus 2 so this
1:33complete
1:34term should be divided by x square plus
1:362. so we have to find
1:38what is the reminder for this number so
1:42listen here if you are preparing for cat
1:45gate exams then preparing for any campus
1:48interview
1:49so those students should concentrate
1:51both the topics right you need to
1:53concentrate both the sections
1:54because in most of the cat exams they
1:56have asked a question from this area
1:58and most of the gate exams they have
2:00asked a question from this area the sse
2:02also
2:02got it so you have to concentrate both
2:05but if you are preparing for
2:07any state level competitive exams for
2:10example tamilnadu state level
2:12or big or state level competitive exams
2:14gujarat state level etc
2:16you have to concentrate 80 percentage on
2:18this topic
2:19and 20 percentage on this topic so got
2:21it so
2:23based on the exams what you are
2:25preparing you need to concentrate on
2:26this
2:27reminder theorem right so here in this
2:30video i am just going to teach you the
2:32normal numbers how to find the reminder
2:34for the normal numbers
2:35so in the next video i will be teaching
2:37how to find the reminder
2:39for the polynomial numbers right so
2:41friends listen here
2:42in this video we are going to solve 10
2:44question that is based on a normal
2:46numbers
2:47first and foremost is by seeing a
2:50question
2:51don't decide the question is tougher for
2:53example the question will be given like
2:55this
2:55517 power 5 17 divided by
2:595 just see here if you see the question
3:02like this 5
3:0217 power 5 17 we have to find
3:06the reminder for this question right by
3:09seeing the question don't decide the
3:11question is difficult
3:12again i am saying there are very simple
3:14logics to solve this question very easy
3:17it requires some practice if you
3:20practice those questions then solving
3:22all the tough level question based on
3:24this normal numbers will be easy
3:26but before that you have to buy out some
3:28of the numbers
3:292 power 1 is 2 2 square is 4
3:332 power 3 is 8 so till try to learn up
3:36to 2 power
3:375 got it so similarly 3 power 1 is 3
3:413 power 2 is 9 so similarly try to learn
3:44up to 3 power 5 it is
3:45enough these two numbers are more than
3:47enough to crack the question
3:49got reference so let me want to all the
3:52questions that is based on a normal
3:54numbers
3:58so initially let me go with five example
4:01questions right
4:02so first question 23 by 5 so we have to
4:05find
4:06what is the reminder for 23 by 5 so
4:09usually how will you find the reminder
4:11you will divide 23 by 5 times so no
4:14five fours are 20 so what about the
4:16reminder here three
4:17so we would say the answer for this
4:19question is three so the reminder is
4:21three
4:22every time in the exams you should not
4:24do like this
4:25it's completely waste of time right for
4:27those cases what you need to do is
4:29you try to directly cancel year itself
4:31in the mind calculations
4:33and try to find the reminder just see
4:35here how many times
4:365 into 4 is what 20 so what is the
4:39reminder that we have what is a balance
4:41number
4:42if 5 into 4 is 20 what will be the
4:44balance number is 3
4:45so we call 3 as a reminder got it or not
4:48right
4:48always try to find the reminder for all
4:51these types of numbers
4:52in the mind calculation do not do like
4:54this it's a schooling method you should
4:56not
4:57proceed in this way to solve all these
4:59questions right
5:00so let me take the second example 17
5:03divided by six
5:04so what is the reminder six threes are
5:0618
5:07but six twos are 12 yes or no 6 into 2
5:11times is what 12 so what is the reminder
5:13that we have is 5
5:15so 5 will be the reminder for this
5:18question
5:18so friends got it or not right so 6 into
5:202 is 12
5:22so 17 minus 12 is 5 so reminder is 5.
5:25so one important note never forget this
5:28note right
5:29so never and ever forget this note while
5:32solving the reminder theorem
5:34always after finding the reminder
5:37you have to check the reminder
5:40number the answer that we got reminder
5:43should be
5:43low when compared to this denominator
5:46number
5:47see for the first equation the reminder
5:48is 3 the denominator is 5
5:51always the reminder value should be low
5:53when compared to the denominator value
5:56similarly here we got the reminder 5 so
5:59the number 5
6:00is low when compared to 6 so we are
6:02saying that the reminder will be 5
6:05got it so let me move on to the third
6:07question just a third question
6:0986 into 23 divided by 11.
6:12so friends just listen here you don't
6:14want to multiply like some students what
6:16they usually do is
6:17they will multiply 86 into 20 then they
6:20would find the answer
6:21and then finally they would divide by
6:2311. don't do that it's a time waste
6:26what you need to do here is you need to
6:28divide
6:29all the individual numbers by 11. first
6:32divide 86 alone by 11 got it so how many
6:36times
6:368 times will be 88 7 times will be 77
6:40yes or no
6:4111 into 7 will be 77 got it so what is
6:45the reminder that we have
6:46if it is 77 6 7 8 9 so 9
6:50will be the reminder got it or not again
6:53divide 23
6:54by 11 2 times 11 into 2 is 22
6:57so we got a reminder as 1 so finally
7:019 into 1 will be 9 so 9
7:04is the reminder for the given number so
7:06friends understood or not how i am
7:08solving it right
7:09so you have to divide each and
7:12every number individually by 11. you
7:15don't want to multiply both the numbers
7:17it's a completely time waste i am just
7:19dividing 86 by 11 separately
7:2223 by 11 separately after finding the
7:25reminder i am multiplying both
7:27understood or not right so let me move
7:29on to question number four
7:3038 plus 71 plus 86
7:34listen here so first first you can
7:37either you can add all the numbers and
7:39then you can divide by 16
7:41you will get the answer or else what you
7:43can do is
7:44you can divide all the individual
7:46numbers by 16
7:48first divide 38 by 16 1 16 are 16
7:5216 2's are 32 16 3's are 48 but our
7:55target is 38 right so we can say that
7:5816 into 2 will be 32
8:01so 30 to 38 what is the reminder we have
8:046 is the reminder got it so similarly
8:0716 into 4 will be 64. so what is the
8:11reminder that we have is
8:127 got it so similarly 86 divided by 16
8:1716 fourths are 64. 16 5's are 80.
8:20so what is the reminder that we have a 6
8:23got it
8:23so finally i am dividing all the
8:26individual numbers
8:27by 16 38 by 16 71 by 16
8:3186 by 16 and finally i got all the
8:34reminders here first let me add the
8:35reminder
8:366 into 6 sorry 6 plus 6 will be 12
8:3912 7 will be 19
8:42you should not say 19 is the reminder
8:46why because just now i have told you
8:48keep that in mind never forget this note
8:50always after finding the reminder you
8:54have to check the reminder should be low
8:56when compared to the divisor that is by
8:59dividing the number right what we are
9:00going to divide see 19 is not low 19 is
9:04the highest number
9:05when compared to the divider right what
9:07you need to do is you need to again
9:09divide by 16
9:10if you divide by 16 1 16 are 16
9:14reminder will be 3 so finally the
9:17reminder for the question is 3
9:19friends understood or not right always
9:21remember that
9:22after finding the answer you need to
9:24check whether the reminder number is
9:27low when compared to the divisor got it
9:30if it is not low then you have to again
9:33divide by the divisor
9:34so divided by 16 so one times a reminder
9:37will be 3
9:38so finally 3 is the reminder got it now
9:41the reminder value is low when compared
9:43to the divisor
9:44so this is the way you have to solve the
9:46question so fifth question
9:48123 into 124 into 125.
9:52see multiplying if you start multiplying
9:55all the three numbers
9:56how much lengthy it is first you need to
9:58multiply 123 into 124
10:01after finding that answer you have to
10:02again multiply by 125
10:04so don't do that what should be a target
10:07you need to find
10:08what is the reminder for all the numbers
10:11individually
10:12so divide 123 by 9 right if you divide
10:15by 9
10:161 9's are nine so reminding us what
10:19three thirty three
10:20nine threes are 27 so reminder is what
10:24six so finally we can say that six will
10:27be the reminder for the first number
10:29for the second number seven will be the
10:31reminder for the third number eight will
10:32be the remainder got it
10:34because 123 6 then 124 will be 7
10:37125 will be 8. so totally the reminders
10:40are
10:416 into 7 into 8 divided by
10:44now what you need to do is you can
10:46multiply 6 into 7
10:48so 6 into 7 is 42 so 42
10:51into 8 by 9 got it so again for the
10:54individual numbers divided by 9
10:56if you divide 42 by 9 so
10:59nine fours are 36 so reminder will be
11:02six here so this will be the reminder
11:04so again we got six into eight divided
11:07by nine
11:08so eight six are 48 by nine got it
11:11so 9 into 5 will be 45
11:15so remaining will be 3 got it so finally
11:18we can say that
11:19answer for question number 5 is 3 so
11:22friends understood what i did
11:23so for every number individual numbers i
11:26am just finding the reminder reminder
11:28at last i'm fine finding the final
11:30reminder
11:31always remember that the final reminder
11:34value should be low when compared to the
11:36divisor
11:36right right so initially i found the
11:38reminder for 123 6.
11:41if you divide 123 by 9 reminder will be
11:436
11:44similarly for the next number is 7 for
11:46the last number is 8
11:47and then we have to multiply all the
11:49numbers so 6 initially i have first
11:51multiplied the 2 numbers 6 into 7 is 42
11:54so 42 remaining number is 8 divided by 9
11:57again for the individual number 42 i
12:00have divided by 9
12:01so reminder will be 6 so 6 into 8 again
12:0416 into 8 is 48
12:06right so 48 divided by 9 9 5's are 45
12:10so reminder will be 3 so 3 divided by 9.
12:13so finally we can say that
12:14we got a reminder 3 further you don't
12:17want to divide by 9
12:18why because 3 cannot be divided by 9 9
12:21but can be divided by 3 but 3 cannot be
12:23divided by 9
12:24so finally we can say that reminder for
12:26question number 5
12:27is 3 question number 6 so 7 power
12:315 divided by 4 so we have to find what
12:34is the reminder for this number
12:36see here if it is 7 square by 4 it is
12:38easy to find the answer
12:40because 7 square is 49 if it is 7 cube
12:43343 by 4 that is also easy but 7
12:46power 5 finding a number for 7 power 5
12:50is very much difficult
12:51so what you can do here is you can write
12:54this 7 power 5
12:55as 7 into 7 into 7 into 7
12:58got it divided by 4 got the logic or not
13:02now every individual number i am going
13:04to divide by 4
13:06if you divide 7 by 4 one fours are
13:094 reminding us what 3 so for every
13:12number
13:13we got a reminder 3 3 3
13:16and 3 friends got it or not so 3 into 3
13:20into 3 into 3 into 3 divided by 4
13:24according what i did so for every
13:26individual numbers for every individual
13:28number i am dividing by 4.
13:30if you divide 7 by 4 one force or 4
13:33reminder will be three
13:34so that's the thing i have written here
13:35right for first seven reminder three
13:37three three
13:38now what i can do here is i can multiply
13:40the first
13:41two numbers three into three is nine
13:43again three into three
13:45is nine got it so by four got the logic
13:48or not
13:49again i'm going to divide the individual
13:51number by four
13:52so how many times four twos are is what
13:54eight what is the reminder here
13:56one again four twos are eight reminder
13:59is one
14:00so one into 1 into 3 will be 3
14:03so finally we can say that the reminder
14:05for 7 power 5 divided by 4 is 3
14:08you don't want to divide 3 by 4 just now
14:11i have told you
14:12you need to find the reminder but
14:14remember one thing
14:15the reminder value should be low when
14:17compared to the denominator number
14:19never forget this right sometimes
14:21students will make a mistake that's
14:23that's the thing i'm repeatedly saying
14:24this
14:25always remember that after finding the
14:27reminder check one time with the divisor
14:30always the reminder value should be low
14:33when compared to the denominator number
14:34that is the division
14:36got it so finally we can say that three
14:38will be the reminder
14:39for question number six so friends got
14:41it or not right
14:42i'm just finding the reminder reminder
14:44reminder till i get the last reminder
14:47got it so this will be the answer for
14:49question number six
14:50so question number seven so 2 power 75
14:54divided by 5 so now we are entering into
14:56some difficult level question
14:58just here if it is 2 power 5 example i
15:01am saying if it is 2 power 5
15:03it is easy to write 2 into 2 into 2 into
15:052
15:06but here the number is 2 power 75
15:09we can't able to write like that right
15:11so what you need to do is just now i
15:13have told you
15:13initial stage of the video you have to
15:16buy out some of the numbers
15:172 power 1 is 2 2 square is 4 2
15:21cube is 8 so after biting all the
15:23numbers just listen carefully what i am
15:24going to do is
15:25i'm just going to uh just see i can
15:28write here 2 power 1 is what
15:302 square is 4 2 cube is 8
15:332 power 4 is 16 this year
15:365 under 16 i can mult 5 into 3 is what
15:4015 right so this 16 number right the
15:43number 16
15:44is most probably nearer to this 5
15:46multiples
15:47yes so now 5 into 3 is 15 so 2 power 4
15:51is 16 now i'm just going to
15:53convert the numerator value as just
15:55listen carefully
15:562 power 4 got it 2 power 4 right
16:00so divide this 75 by 4 if i divide 75 by
16:034
16:04so one fours are 4 so reminding us three
16:07right
16:0835 so 35 is eight fours are
16:1132 right so remaining is what three
16:14so this can be written as two power
16:16three divided by five
16:18so friends try to understand how i wrote
16:20this so if you
16:22understood this logic then solving all
16:25the questions will be easy
16:27got it how i write this initially they
16:29have given a number as 2 power 75
16:31right by seeing a denominator number is
16:345
16:34we already learned up to 2 power 5 in
16:37the initial stage of the video right
16:39so you have to check 5 multiples which
16:41number here right you can take 5
16:43multiples of 16 why because
16:44it is little bit nearer number 5 into 3
16:47is 15
16:48so i can take 16 here nearer number so i
16:51am just going to convert this 2 power 75
16:54as 2 power 4 because 2 power 4 is 16
16:57so 2 power 4 power 18 into 2 power 3
17:01so 18 into 4 2 power 3 if you add both
17:04the numbers you will get 2 power 75
17:07now what i can do is this 2 power 4 can
17:09be written as 16 power
17:1118 into 2 cube will be 8
17:14divided by 5 got it because 2 power 4 is
17:1716
17:18right so power 18 asset is 2 cube is 8.
17:22now just here for individual number this
17:24individual number alone
17:26i am going to divide by 5. so 1 5's are
17:295
17:29phi 3s are what 15 reminder is what 1
17:33so 1 power 18 into 8 divided by 5
17:37understood or not
17:38right what i did 16 power 18 got it
17:41for this individual number 16 alone i'm
17:43going to divide by 5
17:4516 by 5 will be 3 times 5 into 3 is 15
17:49so reminder is what 1 so 1 power 18 into
17:528 by 5
17:531 power 18 so 1 power any number will be
17:56always 1
17:57so this can be written as 8 divided by 5
18:00you should not stop here
18:02why because i have just told you the
18:03remainder value should be low when
18:05compared to the divisor
18:06so again 1 5s are 5 so reminding us what
18:103 so 3 will be the reminder for this
18:13question
18:14so friends understood or not how i did
18:16this if you can't able to understand it
18:18again start watching from the first
18:20stage of the video and for complete uh
18:22solving this question
18:24this step alone is important by just
18:27watching
18:28one question you can't able to
18:29understand it it requires more practice
18:32again i am saying
18:33take your books practice 10 or 20
18:35questions
18:36automatically you know how to write like
18:38that got it
18:39so first 2 power 4 is 16 right some
18:42students will ask why i can't able to
18:44take 2 power 8 can i take 2 power 3
18:46yes you can you will get the same answer
18:48but always remember that
18:50try to take the divisor nearby multiples
18:53only then it is easy to solve the
18:55question
18:56so 5 3 will be 15 so only i have take 2
18:58power 4
18:59right so 2 power 4 i have just divided
19:0175 by 4
19:02is 18 remainder is 3 got it so i have
19:05written as 18 here
19:06the reminder 3 has 2 power 3. so now if
19:09you add
19:1018 into 4 and then 2 power 3 you will
19:12get 75
19:13okay so finally answer for question
19:16number 7 where the reminder is 3
19:18question number 8 so just see the
19:20question number 8 7 power 129 divided by
19:235
19:24so we have to find the remainder so from
19:26just here
19:277 power 129 it is not easy to write 7
19:30into 7 into 7
19:31so we have to use certain tricks to
19:33solve this question
19:34just listen carefully first what i can
19:36do is in the previous question the
19:38numerator is 2
19:39so we can easily write down as 2 power 4
19:41something but here the numerator is 7
19:43so what you need to do is just take the
19:46number 7 alone just
19:47listen carefully just take the number 7
19:50alone right
19:51not the power 129 i am just taking the
19:53number 7 alone
19:547 individual number divided by 5 so 1
19:575's are 5 reminding us what 2 so the
20:00remainder is 2 so
20:022 power 129 2 power 129 divided by
20:075 so friends understood this step or not
20:09how i wrote this
20:11i am just dividing the individual number
20:137 alone by 5
20:157 by 5 1 5 5 the remainder will be 2
20:19so now i write this complete number as 2
20:21power 1 29 by 5 right
20:23so 2 power 129 by 5
20:26now it is easy to convert the numbers
20:28because just now we have learned 2 power
20:304 is what
20:3116 nearby multiples got it two power
20:34four so divide completely by four
20:36so four threes are twelve so four twos
20:39are eight
20:40so reminder will be one so this can be
20:42written as thirty two
20:43got it reminder one can be written as
20:45two power one by five
20:46that's it now it is easy or not how i
20:48wrote this initially
20:50i have found the reminder for 7 by 5
20:52that is 2
20:53so 2 power 129 by 5 just now we have
20:57learnt
20:57we have to check the 5 multiples 5 3's
21:00are 15
21:01so we can write the numerator 2 power 4
21:03as 16
21:04so 2 power 4 right divide 129 by 4
21:08so it is 32 reminder 1 i am writing as 2
21:11power 1
21:12if we got reminder 2 2 power 2 if we got
21:14reminder 9 2 power 9
21:16got it or not right so now we can say 2
21:19power 4 is what 16
21:20so 16 power 32 into 2
21:24divided by 5 so now cancel it 1 5's are
21:275 how many table how many times
21:295 3 is a 15 reminder is what 1
21:321 power 32 is always 1 so the complete
21:35for this number the
21:37reminder will be 1 so this can written
21:39as so finally we have only number 2
21:42so this will be the reminder because the
21:44number 2 is
21:45low when compared to the divisor so we
21:47can say that 2 will be the reminder
21:49how easy it is first question alone
21:52previous question alone it will be
21:53little bit difficult
21:54but see how easily we have solved this
21:56question so only
21:57important area is this area got it and
22:00then you have to understood this concept
22:02you have to understand this concept
22:03right
22:04just see here 16 power 32 we can cancel
22:07it 5
22:083s are 15 so what about the reminder
22:10will be 1 is the reminder
22:121 power 32 so 1 power anything will
22:14always be 1
22:15so 1 into 2 will be 2 you don't want to
22:17divide by 5
22:18why because we got a reminder which is
22:20low very less number
22:22when compared to the divisor so
22:23definitely 2 will be the reminder
22:26for question number eight question
22:28number nine
22:29so question number nine is 517
22:32power 517 divided by five
22:36just see here by seeing the question
22:37again this is
22:39according to me it's very small question
22:40the exams they usually ask 517 power 517
22:44into 2300 etc so by seeing the question
22:48do not decide it is difficult
22:49it is always easy if you know the logic
22:52what is the first step you have to do
22:54you have to divide this individual
22:56number 5 17
22:57alone by 5 let me divide this 1 5s are 5
23:01right 0 phi 3s are 15. what about the
23:05reminder that we have is 2.
23:06so totally we got a reminder that is 2
23:105 17 by 5 understood or not how i wrote
23:13this
23:14i am just dividing this individual
23:16number 5 17 by 5
23:18if i divide 5 17 by 5 we got a reminder
23:212
23:22so this complete number we can write
23:24this as 2 power 5
23:2517 divided by 5 now just look at the
23:29denominator what about the denominator
23:30here 5
23:31so the numerator is 2 convert in terms
23:34of
23:345 multiples so you can write this as
23:36what 2 power 4 just now i have told you
23:392 power 4 is 16 multiplied by multiples
23:42of 5 right
23:43so divide by 4 so what about the one
23:46force of 4
23:46right so remaining will be 1 again four
23:50twos are eight
23:51so remaining will be three that is
23:53thirty seven
23:55eight fours are nine fours are 36
23:58remainder will be one so 129
24:00so reminder we got to 1 that is 2 power
24:021 by 5 understood or not
24:04right i am dividing 5 17 by 4 we got 129
24:08and the remainder 1. so i have written
24:09129 here
24:11and reminder as 2 power 1 quarter so now
24:13we know the 2 power 16 2 power 4 is 16
24:16when you cancel 5 and 16 remainder will
24:19be 1
24:19so 1 power 129 always it will be 1 so
24:22finally we got 1 into 2 by 5
24:25so 1 into 2 will be 2 so 2 will be the
24:28reminder quad it or not see how easy it
24:30is
24:30the question looks little bit uh by by
24:33seeing the question we
24:34we feel that it's difficult but just see
24:36here how easy it is
24:38it comes only in practice right so
24:40answer for question number nine where
24:42the reminder is two
24:44so last 10th question so what is the
24:47reminder
24:47when 2 2 4 3 power 165 2 2 4
24:513 power 165 is divided by 4 usually in
24:55the exams they will ask
24:56question like this so we need to write
24:58like this and then we have to find the
24:59reminder
25:00just see here 2 2 4 3 power 165
25:03divided by 5 so our target is to find
25:06what is the reminder
25:07so what what is the first step you need
25:09to do you have to divide this individual
25:11number alone by five
25:13let me divide this five fours are what
25:1520 so reminder is 24
25:18again five fours are 20 reminder is 443
25:21eight fives are 40 remainder will be 3
25:24so this can be written as 3 power 165
25:27divided by got it or not and all the
25:29previous question we got the reminder
25:31two but in this question we got a
25:33reminder three don't worry about it
25:34sometimes you will get
25:35a reminder four or reminder eight
25:37whatever be
25:38you have to write reminder three power
25:40one 165 the next
25:42step just listen here just now i have
25:44told you right you need to check the
25:46nearby multiples of 5 only then you can
25:49convert the number just here
25:51what is 3 power 1 3 power 1 is 3 3
25:54square
25:55is what 9 got it it's not nearer to the
25:57multiples of 5
25:59got it so 3 part 3 is 27 again not the
26:02nearby multiples
26:043 power 4 is what 81 yes or no
26:073 power 4 is 81 got it
26:10which is a nearby multiples of 5 because
26:1316 into 5 will be 80 so here you can see
26:163 power 4 is 81 so we can take 3 power 4
26:20so now i am going to convert this as 3
26:22power 4
26:24so divide this by 4 if you divide by 4
26:26it is 41
26:27so reminder will be 1 so 3 power 1 by 5
26:30got it or not how i wrote this
26:32so 3 power 4 if you divide 165 by 4 we
26:36got 41 and reminder 1
26:38i have written 41 here and the remainder
26:401 year so now we need to divide by 5
26:42just listen here 3 power 4 is what 81
26:45yes or no
26:46so 81 power 41 into 3
26:50divided by 5 so if you cancel 81 by 5
26:54right 16 5s are 80. so reminder is 1
26:581 power 41 anything just now i have told
27:01you one power
27:02any number will be always one so for
27:04this complete number the remainder will
27:06be 1
27:07so 1 into 3 will be 3. so finally answer
27:10for this question where the reminder is
27:123
27:13just see every question have a certain
27:15logics
27:16if you use that logic solving a question
27:19is easy
27:20i have told you the logic first unit
27:21what you need to do you have to divide
27:23the individual number by the divisor
27:26right either not every time it won't be
27:28five sometimes it won't be six
27:30or seven or eight whatever b but you
27:32have to divide by that number and you
27:34need to find the reminder
27:36after finding the reminder you have to
27:38check the nearby multiples of the
27:40divisor
27:41so here i have taken 3 power 4 why
27:43because 3 power 4 is 81
27:45where 16 into 5 is 80 so 80 81 is a
27:48nearer number
27:49so i have taken 3 power 4 divided by 4
27:5241 and reminder 1
27:54so just now i have told you 3 power 4 is
27:5681 if you divide 81 by 5 reminder will
27:59be 1
27:591 power any number will always be 1. so
28:02for this complete number the reminder is
28:041
28:05and the remaining number that we have is
28:063 power 1 is 3 so finally we can say
28:09that the reminder is 3
28:11so hence that's it about this video so
28:13again i just want to say one thing
28:15listen here it requires a lot a lot of
28:18practice
28:19just by watching this video you can't
28:21able to solve the question in the exams
28:23you have to take your books after
28:25watching video after understanding the
28:27concepts
28:28take your books or search in a google
28:30you will get more than 100 200 questions
28:33try to solve all the questions right so
28:36some students will
28:37solve in a minus terms for example they
28:39usually write like this minus 3 per 4
28:42right in most of the foreign other books
28:44or a local author books you can able to
28:46see
28:46my they usually convert in some numbers
28:48they convert in terms of
28:50minus it is not required right either
28:53you
28:54convert into minus you are going to get
28:55the same answer if you convert into a
28:57positive value you are going to say
28:59get the same answer always try to learn
29:01any one method right don't learn both
29:03the methods
29:04both the methods will be confusing
29:05that's the reason i have converted all
29:07the numbers in terms of positive value
29:09right
29:10got it so just some students will ask me
29:13this doubt
29:14some books they have written in terms of
29:16minus so don't get confused
29:18all the questions use the same logic you
29:20will surely get the answer
29:22so thank you so much for watching this
29:24video so if you really like it
29:26share the video to your friends those
29:27are preparing for the competitive exams
29:30so thank you so much for watching it bye

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