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Reasonin Rakesh Yadav

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SOLUTION<br />

1. (c) Total number of odd days till<br />

19th June 1440 <br />

19 twu 1440 rd dqy fo"ke fnuksa dh<br />

la[;k <br />

1200 year + 200 year + 39 year + Jan = 3 + 19 days<br />

Feb = 1<br />

0 3 6 March = 3<br />

April = 2<br />

May = 3<br />

5<br />

Leap year in 39 year = 39 4<br />

39 o"kkZ es a yhi o"kZ ¾ 39 4<br />

= (9) quotient/(HkkxiQYk)<br />

Odd days in 39 year = 39 9<br />

7<br />

39 Ok"kksZ a es a fo"ke fnu ¾ 39 9<br />

7<br />

= 48<br />

7 = 6 (Remainder)/('ks"kiQy)<br />

Now odd day/vc fo"ke fnu 0 + 3<br />

+ 6 + 3 + 1 + 3 + 2 + 3 + 5 = 26<br />

26<br />

7 = 5 (Remainder)/('ks"kiQy)<br />

5 odd days for Friday<br />

5 fOk"ke fnu ds fy;s 'kqozQokj<br />

2. (b) Total number of odd days till<br />

20oct 1869 <br />

20 vDVwcj 1869 rd dqy fo"ke fnu <br />

Year Year Year Month days<br />

1600 + 200 + 68 + Jan = 3 + 2<br />

0 3 1<br />

Feb = 0<br />

March = 3<br />

April = 2<br />

May = 3<br />

June = 2<br />

July = 3<br />

August = 3<br />

2<br />

September = 2<br />

Total E.D./dqy fo"ke fnu = 0 + 3 + 1<br />

+ 3 + 0 + 3 + 2 + 3 + 2 + 3 + 3 +<br />

2 + 2 = 27<br />

But = (27) can never be odd days<br />

ijUrq = (27) dFkh fo"ke fnu ugh gks ldrk gSA<br />

27<br />

7 = 6 (Remainder)/('ks"kiQy)<br />

odd days 6 for Saturday<br />

fo"ke fnu = 6 Saturday<br />

3. (d) 26 4 8 6 2<br />

7<br />

'ks"kiQy = 4<br />

Remainder/<br />

0 = Saturday, 1 = Sunday<br />

0 = 'kfuokj, 1 = jfookj<br />

2 = Monday, 4 = Wednesday<br />

2 = lkseokj, 4 = cq/okj<br />

4. (b) For Sunday in May, 1993 we<br />

should find the day on 1 st May,<br />

1993<br />

EkbZ 1993 es a jfookj ds fy;s] ges 1 ebZ dk<br />

fnu Kkr djuk pkfg;s<br />

Total odd days till 1st May 1993<br />

1 ebZ 1993 rd dqy fo"ke fnu<br />

Year Year Year Month<br />

1600 + 300+ 92 + Jan = 3<br />

days<br />

1<br />

0 1 3<br />

Feb = 0<br />

March = 3<br />

April = 2<br />

1<br />

Total odd days/dqy fo"ke fnu = 0 +<br />

1 + 3 + 3 + 0 + 3 + 2 + 1 = 13<br />

13 can never be odd days,<br />

Hence again divide by 7 and<br />

find Remainder as odd days.<br />

13 dFkh fo"ke fnu ugha gksxk vr% iqu% bls<br />

7 ls foHkkfotr djsaxs] vkSj tks 'ks"kiQy gksxk<br />

oks fo"ke fnu gksxkA<br />

13<br />

= 6 (odd days)<br />

7<br />

Odd days on Ist May =1993 = 6<br />

1 ebZ dks fo"ke fnu =1993 = 6<br />

<strong>Rakesh</strong> <strong>Yadav</strong> Sir<br />

6 for = Saturaday<br />

6 ds fy;s = 'kfuokj<br />

Than 1 May = Saturday<br />

rc 1 ebZ = 'kfuokj<br />

2 May = Sunday<br />

2 ebZ = jfookj<br />

3 May = Monday<br />

3 ebZ = lkseokj<br />

First Sunday of this month is on<br />

2nd day. Then on 2nd, 9th, 16th,<br />

23th, 30th all are Sunday.<br />

bl eghus ds igyk jfookj nwljs ij gSA rks 2,<br />

9, 16, 23, 30 lHkh ij jfookj vk;sxkA<br />

5. (a) We should find the day on 1st<br />

March 2013 for Wednesday in<br />

this March, 2013.<br />

cq/okj ds fy;s ges a 1 ekpZ 2013 ds fnuksa<br />

dks Kkr djuk pkfg;sA<br />

Total odd days till 1 st March,<br />

2013<br />

Year + Year + Month + days<br />

2000 + 12 + Jan = 3 1<br />

Feb = 0<br />

0 1 1<br />

Total odd days/dqy fo"ke fnu = 0 +<br />

1 + 3 + 0 + 1 = 5<br />

5 Odd day for = Friday<br />

5 fo"ke fnu ds fy;s = 'kqØokj<br />

1st March 2013 = Friday<br />

1 ekpZ 2013 = 'kqØokj<br />

2nd March 2013 = Saturday<br />

2 ekpZ 2013 = 'kfuokj<br />

3rd March = Sunday<br />

3 ekpZ = 'kfuokj<br />

4th March = Monday<br />

4 ekpZ = lkseokj<br />

5th March = Tuesday<br />

5 ekpZ = eaxyokj<br />

6th March = Wednesday<br />

6 ekpZ = cq/okj<br />

Then Wednesday in March<br />

2013/ = 6th, 13th, 20th, 27th<br />

rks ekpZ es a cq/okj Øe'k% 6, 13, 20, 27<br />

es a vk;sxkA<br />

6. (b) 3rd day = Tuesday<br />

When was start from 23rd, then<br />

the 6th day of the month will<br />

be 28th days of the same<br />

month<br />

3rd day = Tuesday, Then on<br />

10th, 17th, 24th = Tuesday<br />

tc ge 23 ls 'kq: djsaxs rks eghus dk NBk<br />

fnu mlh eghu ds 28os fnu ds cjkcj gksxkA<br />

rhljk fnu = eaxyokj] rks 10, 17, 24 = eaxyokj<br />

24th = Tuesday/eaxyokj<br />

25th = Wednesday/cq/okj<br />

26th = Thursday/c`gLifrokj<br />

27th = Friday/'kqØokj<br />

28th = Saturday/'kfuokj<br />

316 <strong>Rakesh</strong> <strong>Yadav</strong> Readers Publication Pvt. Ltd

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