Interested to Buy Any Domain ? << Click Here >> for more details...
find the remainder when 2222^(5555)+5555^(2222)is divided
by 7
- 3 Answers
- 21260 Views
- CAT, CTS, Limca, Vaibhav, Wipro, I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Sol: the remainder of a^c + b^d when it is divided by x is
same as the sums of rems of a,b to the power c and d.
2222/7 has a remainder of 3 and 5555/7 has a remainder of 4.
So (3)^5555 mod 7 + (4)^2222 mod 7 is the same as
(3)^5 mod 7 + (4)^2 mod 7 = (5 + 2)mod 7 = 0
| Is This Answer Correct ? | 38 Yes | 13 No |
Answer / prakash kumar ojha
3^5555 +4^2222
=3^5*1111 +4^2*1111
=(3^5)^1111 +(4^2)^1111
=243^1111 +16^1111
Which is divisible by 243+16=259
[x^n + y^n always divisible by x+y if n is odd]
But 259 is divisible by 7
Therefore 3^5555 + 4^2222 is divisible by 7
| Is This Answer Correct ? | 18 Yes | 3 No |
Answer / gaurav
kindly explain the last step.
(3)^5 mod 7 + (4)^2 mod 7 = (5 + 2)mod 7 = 0
| Is This Answer Correct ? | 14 Yes | 3 No |
A 6 inch length cylindrical through hole is drilled through the center of sphere, what will be the remaining volume of sphere ? In this question only one data is given ie., hole length - 6". In the question there is no mistake. Find the answer.
my ouestion is current affairs
A man has 2 cows of total cost 200 rupees. He sold them for 210. For 1 cow he had a profit of 10% and for the other he had a loss of 10%. What is the price of each cow?
Can someone please send me the question paper for graduate level both tier 1 and tier 2 with detailed solution of maths exam (Tier 2). Please,suggest me the ways and books to prepare for this exam.Please, send this answer on my email Id
epaulette : shoulder :: tiara :
1,2,3,5,?,10,15,30
16 Answers CTS, SAE,
a file s transferred from one location to another in buckets . the size of bucket s 10 kilobytes. the buckets get filled at rate of 0.0001kb per ms. transmission time from sender to receiver s 10ms per bucket. after receipt of bucket, receiver sends an acknowledgement tat reches sender in 100 ms. assuming no error during transmission write a formula to calculate time taken in seconds to successfully complete transfer of file of size N kb.
The cost of four dozen proof machine ribbons and five dozen accounting machine ribbons was Rs.160/-. If one dozen accounting machine ribbons cost Rs.20/-, what is the cost of a dozen proof machine ribbons?
Low temperature at the night in a city is more than 1/2 high as higher temperature are 100. Then What is low temperature
The First country printed Books
three numbers are in the ratio 2:3:5 and the sum of their squares is 152, what will be their sum ?
who is home minister of Maharashtra state
English 
