sweetcutehimani

@sweetcutehimani

A set of consecutive natural numbers beginning with 1 is written on the board. A student came along and wrote one of these numbers one more time and found the average of the numbers written on the board as 40 20/27.What was the number that was written twice on the board? 27 53 ...
A set of consecutive natural numbers beginning with 1 is written on the board. A student came along and wrote one of these numbers one more time and found the average of the numbers written on the board as 40 20/27.What was the number that was written twice on the board?

27


53


26


60
Find the remainder when 37^(1257) *28^3512 is divided by 5. 2 6 8 4
Find the remainder when 37^(1257) *28^3512 is divided by 5.

2
6
8
4
> 2222^7777 + 7777^2222 =(2222^7)^1111 + (7777^2)^1111 The number has to be divisible by 2222^7 + 7777^2( a^n+b^n is divisible by a+b if n is odd) 2222^7 + 7777^2 =1111^2( 2^7*1111^5 + 7^2 ) If we check for 88 and get it right then 44 should also be right, hence 88 cannot be the a...
2222^7777 + 7777^2222
=(2222^7)^1111 + (7777^2)^1111
The number has to be divisible by 2222^7 + 7777^2( a^n+b^n is divisible by a+b if n is odd)

2222^7 + 7777^2
=1111^2( 2^7*1111^5 + 7^2 )

If we check for 88 and get it right then 44 should also be right, hence 88 cannot be the answer.
We are left with 44, 77 and 99. .

11 divides 1111^2.
So the remaining term should be divisible by either 7,4 or 9
2^3 = -1(mod 9) => 2^7 = 2(mod 9)
1111 = 4(mod 9) => 1111^5 = 4^5(mod 9) = 2^10(mod 9) = -1*2
= -2(mod 9)

2^7*1111^5 = -4(mod 9) and 7^2 = +4( mod 9 )
9 divides ( 2^7*1111^5 + 7^2 )
Hence,99 divides the given number

Let me know if you have any problem

did not get this step.
plz rahulmn.............
> My take 2) 99 it's ryt. bt cn u xplain it 4 me? ::
My take
2) 99


it's ryt. bt cn u xplain it 4 me?
options are 1)999 2)99 3)88 4)77 5)44
options are
1)999
2)99
3)88
4)77
5)44
2222's power 7777 + 7777's 2222 is divisible by ?
2222's power 7777 + 7777's 2222
is divisible by
?
laj
Lajwanti D'Souza @laj
[image] _Pic from the FMS website_ Another MBA entrance exam is expected to bite the dust soon. Faculty of Management Studies (FMS) is in all probability going to shelve its 40-year old entrance exams in favour of the Common Admission Test (CAT). The vice-chancellor of the Delhi Unive...