Showing posts with label Number System. Show all posts
Showing posts with label Number System. Show all posts

Saturday, June 5, 2010

Factor test

I am posting some questions on factors...solve them and get back to me..

Friday, October 30, 2009

some more questions on LCM funda....

Some Questions for Practice:

1.) N = 123456……………..142143, What is the remainder when N is divided by
(a) 36
(b) 72
(c) 18
(d) 6

2.) N = 42+442+4442+……….(88 terms) is divided by 36. What is the remainder?

3.) X = 22233344455566677788, Remainder when X is divided by
(a) 888
(b) 111
(c) 333

Friday, March 13, 2009

question on base system

(777)10=(x)77, with how many zeroes will x end??

base sys....

A +ve integer x; (100 < x < 150); is represented in base 2, base 3, base 4 and base 5 notation. In all the 4 cases the last digits are 1, 2, 3 and 4 respectively. What will be the last digit when x is represented in base 6??

base sys...

Let N=233456 , How many ordered pairs (a,b) exist if h.c.f.(a,b) = 1 & a and b are factors of N??

Saturday, February 28, 2009

gd 1..

I knw by adjusting 90, 91, 92, 93, 94, 95, 96 there r 7! possible numbers. How many of them are perfect square???

remainders..........

what are the remainders wn following expressions are divided by 144?
(A)1^5+2^5+3^5+....................44^5+45^5
(B)(1^5)(2^5)(3^5)....................(44^5)(45^5)
(C)1^5,2^5,3^5,....................,44^5,45^5written in a line 2get a huge no.

nd d options are
(a)zero
(b)81
(c)117
(d)45
(e)None of these

Wednesday, January 28, 2009

Repunit no...

if R(n) = 1111111.....111 (n times), then R(n) is known as repunit no. For how many 256 < n < 343, R(n) will be perfect square???

last two digits...

a.) 135^251

b.) 145^260

c.)165^266

Saturday, January 10, 2009

factors...

how many natural nos. between 1 and 100 have exactly 4 factors??

find d remainder...

***remainder when 141414141........1414 (404 digits) is divided by 909??
(a) 9
(b)303
(c)101
(d)505
(e) none of these

Wednesday, January 7, 2009

last two digits..

what are the last two digits of 9 raise to power 9 raise to power 9?

last 2 places ...

*** last two places of 399^43???

last two digits...

*** What are d last 2 digits of 36! - 24! ???