find the remainder when 2222^(5555)+5555^(2222)is divided
by 7

Answers were Sorted based on User's Feedback



find the remainder when 2222^(5555)+5555^(2222)is divided by 7..

Answer / wareagle

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 ?    33 Yes 13 No

find the remainder when 2222^(5555)+5555^(2222)is divided by 7..

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 ?    17 Yes 2 No

find the remainder when 2222^(5555)+5555^(2222)is divided by 7..

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 2 No

Post New Answer



More General Aptitude Interview Questions

All of the tickets for 2 music concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was 2 to 1. Of the total number of X tickets and Y tickets, what percentage was purchased? 1) The total number of X tickets and Y tickets, is 240. 2) Of the X tickets, exactly 60% were purchased, and of the Y tickets, exactly 80% were purchased. a) if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question. b) if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question. c) if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient. d) if EACH statement ALONE is sufficient to answer the question asked. e) if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

2 Answers   TCS,


There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.

0 Answers   iSoft, 3i Infotech, Canara Bank,


500 men are arranged in an array of 10 rows and 50 columns . ALL tallest among each row aare asked to fall out . And the shortest among THEM is A. Similarly after resuming that to their originaal podsitions that the shorteest among each column are asked to fall out. And the longest among them is B . Now who is taller among A and B ?

0 Answers   Infosys,


The Largest coffee growing country in the world___________

7 Answers  


Three boxes 1,2,3 contain values 3,17,34. Get 40 in box 1 in 3 steps.

10 Answers   Godrej, HyperCity,






24 6 99 33 3 63 19 3 ? A) 7. B)28 C)70. D)54

2 Answers  


What are ActiveX Controls

2 Answers  


how many types of indexing?

2 Answers  


plz send me the model papers of andhra bank clerical exams. plz iam very need full it.

0 Answers  


Sports readers,10 tables,4chairs per table, each table has different number of people then how many tables will left without at least one person?

3 Answers   TCS,


what is calander and do make it.

0 Answers   HCL,


There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ). Give the position after the following changes were noticed. � All books have been changed � Vol.5 was directly to the right of Vol.2 � Vol.4 has Vol.6 to its left and both weren't at Vol.3's place � Vol.1 has Vol.3 on right and Vol.5 on left � An even numbered volume is at Vol.5's place Find the order in which the books are kept now.

1 Answers   Infosys,






Categories