find the reminder when 2^19 divided by 19?

M4maths Previous Puzzles

17 Jun 2010 find the reminder? find the reminder when 2^19 divided by 19?: OPtion
1) 1
2) 2
3) 4
4) 5
5) 16
6) 9
7) 18
8) 7
9) 13
10) 11; Correct Option: 2 Best Solution (7)

Karthik Pandiyan 14 years AGO

2^19=524288
2^19/19=524288/19=27594.10
Reminder when dividing 2^19by 19 we get 27594*19 =524286
Hence reminder = 524288-524286=2

Like? Yes (1) | No

Dr.Dipin Singh 14 years AGO

2^19 = 524288 when divided by 19 gives 2 as remainder.

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Roshni Shrivastava 14 years AGO

=2*19/19
=38/19
=2

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sivakumar 14 years AGO

2^19=524288; 524286 is divisible by 19 and the reminder is 2;

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SUDESHNA SEN 14 years AGO

2^19= (1+1)^19= 19C0+19C1(1)^1+19C2(1)^2+...+19C19(1)^19
=19+19+19*18/2!+19*18*17/3!+...+19*18*17*...*1/19!
=19(2+18/2!+18*17/3!+18*17*16*...*1/19!)
Therefore,when 2^19 is divided by 19, the remainder is 2..... Option 2)

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Sudeshna Sengupta 14 years AGO

Like? Yes (1) | No

Somdatta Mukherjee 14 years AGO

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Dimple

India

Punjab

Time: 00:01:33

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find the reminder when 2^19 divided by 19?

M4maths Previous Puzzles

17 Jun 2010 find the reminder?