Remainder when 7^103 is divided by 24 , Mathematics

 Find the remainder when 7^103 is divided by 24

Solution) we know by the concept of mod that.....

  49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is divisible by 24)

 so 7^2congruent to 1 mod 24

 so 7^102congruent to 1 mod 24(raising to the power 51)

 hence the remainder when  7^102 is divided by 24 is 1  i.e. 7^102=24m+1

 so multipling by 7 both sides we have....7^103=24.7m+ 7

hence 7^103=24n + 7

so remainder is 7 (ans)

Posted Date: 3/21/2013 12:45:38 AM | Location : United States







Related Discussions:- Remainder when 7^103 is divided by 24 , Assignment Help, Ask Question on Remainder when 7^103 is divided by 24 , Get Answer, Expert's Help, Remainder when 7^103 is divided by 24 Discussions

Write discussion on Remainder when 7^103 is divided by 24
Your posts are moderated
Related Questions
what is 246 divided by 6 using distributive property

Under this section we will be looking at the previous case for the constant coefficient and linear and homogeneous second order differential equations.  In this case we need soluti

Find the centre of a circle passing through the points (6, -6), (3, -7) and (3,3).Also find the radius.

Define Markov process. Markov process is one in which the future value is independent of the past values, given the current value

Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a

Estimating the Value of a Series One more application of series is not actually an application of infinite series.  It's much more an application of partial sums.  Actually, we

how to remember the formulas of this topic

Find out the domain of each of the following.  (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y  (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know

Find out all intervals where the given function is increasing or decreasing. f ( x ) = - x 5 + 5/2 x 4 + 40/3 x 3 + 5 Solution To find out if the function is increasi

what are the characteristic of digital ic