Number System - Questions & Discussions

@rmaheshwari33 said:
pls anyone explain me remainder theorm ..how to calculate remainders :'(

refer to TG books, everything's covered there

@mdiff.sandip said:
c....????
right..
@rmaheshwari33 said:
pls anyone explain me remainder theorm ..how to calculate remainders :'(
remainder theorem is not a great deal.. it just follow a simple rule- rem((a+b)/c) = rem(a/c) + rem(b/c).. similarly rem (ab/c) = rem(a/c)*rem(b/c)..
the there are only a few predefined theorems- rem(n-1)!/n = 1, if n is a prime number.
rem(a^k/k)=a, for a not equal to k, and k is a prime number..
@bpolagani said:
1. what is the remainder when 2^1100 is divided by 101?2. What is the remainder when 971(30^99+61^100)*(114 8)^56 is divided by 31?Can anyone help please?
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@peligro said:
refer to TG books, everything's covered there
You have TG books ?
@dushyantagarwal said:
You have TG books ?
http://testprepmaterials.blogspot.in/2012/01/totalgadha-number-system-geometry-tsd.html

@mdiff.sandip : thanks ...TG books ???

@mdiff.sandip : please join this thread

http://www.pagalguy.com/discussions/invincible-cat-2013-25098149/3651003

no number system question from 2 days?? is the world coming to END???????????????/

@Ankurb



only II😃

(81^21)+(27^21)+(9^21)+(3^21)+1 is divided by (3^20)+1 then what is the remainder

r1 remainder when n=1111......111(73 digits) is divided by 259 and r2 when it is divided by 32 find r2+r1

@naga25french

45^4 = 2025^2 = 41xxxxxx > 10 !so there is one possibility where in sum is less than 180this rule out option 3 and 4now write 10 ! =



175

Anyone having TG book?

the remainder when 2 ^2 + 22^2 + 222^2+....(222..49 twos)^2 is divided by 9 ?

Hey guys,please help me with this question


K is a three digit number such that the ratio of the number to the sum of its digits is least?What is the difference between the hundreds and the tens digit of K?

options are
9,7,8 and none of these.

29 )What will be the largest number less than 1000 that will make the expression:

Sqrt(n-Sqrt(n-Sqrt(n-…….Infinite times) an integer.

a) 992 b) 930 c)998 d) 984

30) What is the last digit of the number 17^17! ?

a) 1 b) 9 c) 7 d) 6

SOURCE: http://apticentre.blogspot.com

@bpolagani

What is the remainder when 1*1+11*11+111*111+1111*1111+ .....+ (2001 times 1) * (2001 times 1) is divided by 100?



@bpolagani

What is the remainder when 1*1+11*11+111*111+1111*1111+ .....+ (2001 times 1) * (2001 times 1) is divided by 100?



1

@Raghav_Mittal

Kindly Help, N is the sum of the squares of three consecutive odd numbers such that all the digits of N are the same.. If N is a four digit number, then the value of N is ..A. 3333B. 5555C. 7777D. 9999Thank you..



5555

odd number square will give 1,9, 5 as last digit and in each case digit at 10 place will be even in nature so we have to make it odd only because three consecutive odd no. last digit will be 1, 9, 5, 9, 1 so we can make 5, 3 as a last digit..for three condition is violated so we are left with 5555

@rahul005

18^2000+12^2000-5^2000-1 is divisible bya)323b)221c)299.pls show detailed sol.



221


Along a long corridor there are 100 doors marked as 1,2,3....100.as u know the doors can be in two states- 0pen or close.initially all doors are open.person number 1 changes the state of all doors that a multiple of 1 i.e basically all doors.person 2 then changes the state of all doors that are multiple of 2.person 3 then changes state of all doors that are multiple of 3adn so on till the person number 100 changes state of door 100. how many doors are closed??

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