Remainder when 7^103 is divided by 24 , Mathematics

Assignment Help:

 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)


Related Discussions:- Remainder when 7^103 is divided by 24

Probability., an insurance salesman sells policies to 5 men, all of identic...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p

Math makes sense pg 261 #3 c., A seahorse layes about 200 eggs.How would yo...

A seahorse layes about 200 eggs.How would you include this data on your pictograph.would you need to change anything.Explain the change.show your work.

Properties of summation notation, Properties Now there are a couple of ...

Properties Now there are a couple of formulas for summation notation. 1. here c is any number. Therefore, we can factor constants out of a summation. 2. T

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Slope, One of the more significant ideas that we'll be discussing in this s...

One of the more significant ideas that we'll be discussing in this section is slope. The slope of a line is a measure of the steepness of any particular line and it can also be uti

Marketing research, In pharmaceutical product research doctors visit the pl...

In pharmaceutical product research doctors visit the place to learn what

Application of probability in business, Application of Probability in Busin...

Application of Probability in Business 1. Business games of chance for illustration, Raffles Lotteries. 2. Insurance firms: this is generally done when a new client or prop

Geometry, find h in the parallelogram

find h in the parallelogram

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd