find the remainder when 2222^(5555)+5555^(2222)is divided
by 7
- 3 Answers
- 19862 Views
- CAT, CTS, Limca, Vaibhav, Wipro, I also Faced
- E-Mail Answers
Answer Posted / 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 |
Post New Answer View All Answers
A ship went on a voyage.After it had travelled 180 miles a plane statrted with 10 times the speed of the ship. An army 50 miles long marches at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear of the army as the army completes 50 miles. Find the distance travelled by the courier.
I want Canara Bank Question papers ? if u have this one send my mail. id - kuruba.sreekanth@gmail.com -regards
The committee on sexual discrimination in the workplace has highlighted Supremo Company as a chief offender. Of the twenty senior executives in the firm, only one is a woman. And of the forty junior executives, only five are female. Supremo could best defend itself against the charges by showing that .ten times more men than women apply for jobs with the company all job applicants who were rejected had fewer qualifications than those accepted they pay the same salary to senior men and senior women male and female executives at the same level have the same qualifications
Given the length of the 3 sides of a triangle.Find the one that is impossible? (HINT : sum of smaller 2 sides is greater than the other one which is larger)
Bactria double every 3 mins. It is N in 1 hour, when was it N/4?
4 pipes inlet and 2 pipes outlets, find water inlet etc.
X and Y are partners in a business. X invests 300 for 12 months and Y invested 600 for 6 months. If they gain a profit of 700 at the end of one year, what is X's share?
A says “the horse is not blackâ€. B says “the horse is either brown or grey. “C says “the horse is brown†At least one is telling truth and at least one is lying. What is the color of the horse?
If g (0)=g (1)=1 And: g (n)= g (n-1) + g (n –2) find g (6);
Four circles are drawn from the corners of a square of area 49 cm2. Find the area of 4 circles outside the square (they didn't mention that circles have radius=1/2 side of a square)?
An apple seller is having some apples. He is selling half of the apple what he has plus half the apple to the first customer. In the same way he sells the remaining apple to 7 customers. After selling to 7 customers, he has no apples with him.
1,2,3,4,5,6,7,8,9 station. route between any 2 station is there only if the 2 digit nob. is divisible by 3. e.g. route exist between 1 to 2 because 12 is divisible by 3 how many station have routes to 8 either direct or indirect
I most like to work with? Most men act though?
2. Masi specialises __ plesent ,well balanced wines into, about ,in, with 3. By the time I arrived __ the pub she all ready left in, on , at, into 4. erbiage the act of doing something the use many words witout nessecity a vegitable non of the above
How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?
