Number System - Questions & Discussions

What is the sum of the tens digit and hundreds digit of the expression 2! + 4! + 6! +..... 100!

a)12  b)8  c)0  d)10

N=(323232…….. 50 digits)9 i.e. in base 9. Find the remainder when N is divided by 8?


Find the remainder when 21! is divided by 361.                                       a, 341

b, 302

c, 288

d, 323



Find the remainder when 53^123 is divided by 100.

a,  37

b, 47

c, 77

d, 87


can someone explain me the Euler method to find the remainder...

32^180 divided by 137.. find the remainder

a)100 b)73 c)76 d)49

If S= 5^8+ 15^8+25^8+35^8+ 45^8+ 55^8+ 65^8+ 75^8 then what is the remainder if S is divided by 24? 

Ans: 8 

Approach please!!

The difference between a two digit number and the number obtained by interchanging the digits is 27. what are the sum and the difference of the two digits of the number?

what are the values of the digits A and B if the number 79A856776B is divisible by 8 and 9?

P and Q are positive integers where √pq =8. which of the following cannot be the value of (p+q)?

(a)65  (b)35  (c)20 (d)16

the difference between the largest and the smallest numbers formed from 5 digits 0,1,2,3,4 using one digit exactly once is ?


How many perfect squares are the divisors of the product

1!⋅ 2!⋅ 3!⋅⋅⋅⋅8!?

A. 120

B. 240

C. 360

D. 720

i'm sure dis 1z easy ... but not getting ans !

ans is C) 360. plz explain d approach ! 

reminder of 21!mod23 is??

remainder when 17! is divided by 23???

1!*2!*3!*.................*99!

find the highest power of 3 in this multiplication?

(dont have OA.....Approach pls)

1*2^2*3^3*4^4..............100^100

find the no. of zeroes in this product?

(dont have OA ....approach pls)

find out the last two digits of 1/5^903

A. 08 B. 48 C. 36 D. 18

ans is 08 ! plz explain d approach


Which of the following natural numbers can be expressed as the sum of the squares of six odd

integers?

A. 1996 B. 1997 C. 1998 D. 1999

is ans 1998 ?? i'm getting 1996 !! plz help !

what are the last 2 diigits of 1122^1122!?

please explain!

Find the smallest positive integer n for which (2^2-1)(3^2-1)(4^2-1)....(n^2-1) is a perfect square?