Chinese Theorem: Remainder Theorem by Rahul Teotia Sir | Maths for SSC CGL, CHSL, CPO, MTS 2025

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​​@@neha_845 ye lo didi dekh lo aap 😊( 2222⁵⁵⁵⁵+5555²²²²/7)
2222/7= Remainder 3
5555/7= Remainder 4
3⁵⁵⁵⁵/7+4²²²²/7
Using fermat's theorem
7-1=6
5555/6 = remainder 5
2222/6 = remainder 2
3⁵+4²/7
243+16/7= 259/7 hence it is completely divided by 7 and the remainder is 0.
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[@gautamkumar-vs4vt]

( 2222⁵⁵⁵⁵+5555²²²²/7)
2222/7= Remainder 3
5555/7= Remainder 4
3⁵⁵⁵⁵/7+4²²²²/7
Using fermat's theorem
7-1=6
5555/6 = remainder 5
2222/6 = remainder 2
3⁵+4²/7
243+16/7= 259/7 hence it is completely divided by 7 and the remainder is 0.
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[@I.T.O.Deeparawat-sy5iy]

Jese 55 ki power 56 iski power 57 or isko 17 se divide karna hai

[@gautamkumar-vs4vt]

@@I.T.O.Deeparawat-sy5iy 55⁵⁶ iski power 57 aur ise 17 se divide Krna ho to
By euler thoerum 17 ek prime number hai it means (17-1) = 16 se ab power ko divide Krna hoga .
To ab 55 ko na dekh kr uske power 56 ko 16 se divide kre
56⁵⁷/16
= (8²)²⁸ × 8¹/16
(64)²⁸×8/16
0×8/16 = 0 answer

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@tradewith-GP 10!/11=1/10,10×9×8!/11:90×8!/11:+2×8!/11 = 5 R (bcoz jab 5 se × karenge tabhi to 10 banega kyuki 10!/11= -1ya 10 hota h, so 8!/11 ka remainder 5 hoga)

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(23)¹⁷⁹/ 13 Iska bta do . By fermat's theorem.

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@@tradewith-GP (-3)*11/13 (bcoz 179/12-Fno. = R11)
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2222⁵⁵⁵⁵+5555²²²² /7.2222/7=remainder 3.5555/7=remainder 4. 3⁵⁵⁵⁵+4²²²².using fermat theorem 5555/6=remainder 5.2222/6=remainder 2.3⁵+4²/7=243+16/7=259/7=remainder 0😊

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259 is completed divided by 7,so the remainder will be0

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Hw ans 0