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Binomial Theorem question

2022 · 25 Jun · Shift 1 · Q28
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  1. PYQ Library
  2. /JEE Main
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  5. /2022 · 25 Jun · Shift 1 · Q28

Binomial Theorem question

2022 · 25 Jun · Shift 1 · Q28

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
If 12 . 310+122 . 39+  .....  +  1210 . 3=K210 . 310{1 \over {2\,.\,{3^{10}}}} + {1 \over {{2^2}\,.\,{3^9}}} + \,\,.....\,\, + \,\,{1 \over {{2^{10}}\,.\,3}} = {K \over {{2^{10}}\,.\,{3^{10}}}}2.3101​+22.391​+.....+210.31​=210.310K​, then the remainder when K is divided by 6 is :
  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    5
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