Home » Ask & Discuss » Mathematics
« Back to Discussion

Algebra

New kid on the Block

Joined:	26 Dec 2007
Post:	1

26 Dec 2007 10:46:02 IST

0 People liked this

708

when 43 raise to power 43 is divided by 37 ,what is the reminder?

Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

when 43 raise to power 43 is divided by 37 ,what is the reminder?

Comments (8)

Priyesh

Blazing goIITian

Joined: 18 Feb 2007

Posts: 1042

26 Dec 2007 10:55:15 IST

Like 1 people liked this

write 43^43

(37 + 6)^43

now expand binomially

the remainder will come only from the last term ⁴³C₄₃ 6⁴³

surbhi mittal

New kid on the Block

Joined: 11 Jul 2007

Posts: 15

26 Dec 2007 11:14:47 IST

Like 0 people liked this

Priyesh is rite..........i go by his answer.........

Akshay Pamnani

Blazing goIITian

Joined: 27 Nov 2007

Posts: 470

26 Dec 2007 11:17:42 IST

Like 0 people liked this

nice answer Priyesh

Cool gay

Blazing goIITian

Joined: 13 Aug 2007

Posts: 687

26 Dec 2007 14:08:04 IST

Like 0 people liked this

priyesh sabse bada 'gadha' hai aur jo use support kar rahein hain woh bhi

bhaisaab 6^43 ko further 37 se divide nahi kar sakte kya. foolish people

A K

Cool goIITian

Joined: 21 Dec 2007

Posts: 33

26 Dec 2007 14:11:58 IST

Like 1 people liked this

6^43=36^21*6= (37-1)^21*6 =37k-6 so the remainder is 31 ....

Priyesh

Blazing goIITian

Joined: 18 Feb 2007

Posts: 1042

26 Dec 2007 14:37:26 IST

Like 0 people liked this

hey sree

who said we can't divide it further i have just said that the remainder will arise from the last term.rest division can be done by the author himself.

i have nowwhere written that answer is the last term obviously remainder wil be less than 37

also do mind ur language

Cool gay

Blazing goIITian

Joined: 13 Aug 2007

Posts: 687

26 Dec 2007 19:01:19 IST

Like 0 people liked this

Yaar srry for that rough stuff.

i was in tension so i wrote that. purpose was nt to hurt u yaar . i am really srrry

i promise this will nt be repeated in future

if u are satisfied that u can nudge me.

bye

nitigya

Scorching goIITian

Joined: 5 Dec 2006

Posts: 225

26 Dec 2007 20:07:19 IST

Like 1 people liked this

write 6⁴³as 6(36)²¹

=6(37-1)²¹ = expanding it binomially we get

37i - 6 where i is an integer

=37i-6+37-37

=37i+31

hence remainder should be 31

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team