Latest Capgemini Aptitude Question SOLUTION: The number N= 12345678910111213141... till 30 is written base 23 what is the remainder when N is written in base 10 and divided by 11? A)1 B)3 C)5 D)0 E)9

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(#M40157900) CAPGEMINI Numerical Ability question Apti Keep an EYE

The number N= 12345678910111213141... till 30 is written base 23 what is the remainder when N is written in base 10 and divided by 11?
A)1 B)3 C)5 D)0 E)9

Asked In Capgemini Sadik Dudekula (7 years ago)

Unsolved Read Solution (9)

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Palash Rai  (7 years ago)

123456789101112131415161718192021222324252627282930 (base 23)

=1*23^51+2*23^50+…….9*23^2+3*23+0*23^0(base 10)

23 congruent to 1 mod 11

23^2 congruent to 1 mod 11

23^3 congruent to 1 mod 11

And so on,23^n congruent to 1 mod 11, n being integer

Answer=Sum of the digits of N mod 11

=(1+2+….9+1+2+..9+1+9+2+3+….+8+9+2+8+2+9+3+0)mod 11

=(55+55+55+33)mod 11

=0

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dhananjay  (7 years ago)

i want solution

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Krishna Dwivedi  (7 years ago)

plz tell me this solution

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deepshikha gautam  (7 years ago)

Apply the divisibility rule of 11. .. Answer will be zero.

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Devendra  (7 years ago)

N= 12345678910111213141... till 30 is written base 23 convert to base 10 and get N=133352791492678560604402846468248080488642226264668888206048460648040 mod 11 which is 5

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D RUPASARANYA  (7 years ago)

plz can anyone give solution for this question

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Suman  (7 years ago)

123456789101112131415161718192021222324252627282930 (base 23)

=1*23^51+2*23^50+…….9*23^2+3*23+0*23^0(base 10)

23 congruent to 1 mod 11

23^2 congruent to 1 mod 11

23^3 congruent to 1 mod 11

And so on,23^n congruent to 1 mod 11, n being integer

Answer=Sum of the digits of N mod 11

=(1+2+….9+1+0+1+1+1+2+.....+1+9+2+0+2+1+2+2........+2+9+3+0mod 11

=(45+45+45+9+18+3)mod 11

= 165 mod 11

=0

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Anik Bhaumik  (6 years ago)

123456789101112131415161718192021222324252627282930 (base 23)
after change it into base 10
=1*23^51+2*23^50+…….9*23^2+3*23+0*23^0(base 10)

23 congruent to 1 mod 11
23^2 congruent to 1 mod 11
23^3 congruent to 1 mod 11
And so on,23^n congruent to 1 mod 11, n being integer

Answer=Sum of the digits of N mod 11
=(1+2+….9+1+2+..9+1+9+2+3+….+8+9+2+8+2+9+3+0)mod 11
=(55+55+55+33)mod 11

=0{Ans)->D

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Sunil Malviya  (5 years ago)

hello, are questions repeated in capgemini written test and can you share the questions pls, i have to crack the first round.
sunilmalviya23061996@gmail.com

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