Browse  |   Placement Papers  |   Company  |   Code Snippets  |   Certifications  |   Visa Questions Post Question  |   Post Answer  |   My Panel  |   Search  |   Articles  |   Topics  |   ERRORS new
 Do you have a collection of Interview Questions and interested to share with us!! Please send that collection to along with your userid / name. ThanQ

 Categories  >>  Aptitude Questions  >>  General Aptitude

 English Interview Questions General Aptitude Interview Questions Puzzles Interview Questions
Question
```find the remainder when 2222^(5555)+5555^(2222)is divided
by 7```
Question Submitted By :: Guest
I also faced this Question!!     Rank Answer Posted By

Re: find the remainder when 2222^(5555)+5555^(2222)is divided by 7
# 1
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 ? 9 Yes 2 No
Wareagle

Re: find the remainder when 2222^(5555)+5555^(2222)is divided by 7
# 2
kindly explain the last step.
(3)^5 mod 7 + (4)^2 mod 7 = (5 + 2)mod 7 = 0

 Is This Answer Correct ? 2 Yes 0 No
Gaurav

  Question Asked @ Answers Other General Aptitude Interview Questions A B C D E * 4 ---------- E D C B A ------------ Find E? HCL 9 The three boxes 1,2,3 has values resp. AB,BC,AC Get 2A(B+C) +AC-2C(A-B)in Box 1 using only addition in 3 steps. Godrej 5 There are 3 persons X, Y and Z. On some day, X lent tractors to Y and Z as many as they had. After a month Y gave as many tractors to X and Z as many as they have. After a month Z did the same thing. At the end of this transaction each one of them had 24. Find the tractors each originally had? 5 in an cricket match the team has to score 8 runs from 3 balls,the crickets on the grease were at a:92;b:96,they must complete hundred in the match how? Infosys 17 Two planes take off at the same exact moment. They are flying across the Atlantic Ocean. One leaves New York and is flying to Paris at 800 km/hr. The other leaves Paris and is flying to New York at only 750 km/hr ( because of a strong head wind ). Which one will be closer to Paris when they meet? Wipro 3 what is present share of service industry in GDP ? ONGC 2 6 cats kill 6 rats in 6 minutes .how many cats will be needed to kill 100 rats in 50 minutes? Caritor 10 If macros are disabled in a workbook, what do we do to enable them? eClerx 2 Indira is three times older than yogesh while zaheer is half the age of wahida.if yogesh is older than zaheer then which of following statements can be inferred. 1.yogesh is older than wahida 2.indira is older than wahida 3.indira may be younger than wahida 4.none of above ACIO 2 Cities A and B presently have populations of 70,000 and 60,000, respectively. City A grows at the rate 4% per year, and B grows at the rate of 5% per year. After how much time will city B have a larger population than city A? Answer in number of years to 2 decimal places. 2 Direction for Qn 9-12 Five teams participated in Pepsi Cup. Each team played against each other. The top teams played finals. A win fetched 2 pts and a tie 1 point 1) South Africa were in the finals 2) India defeated SA but failed to reach the finals 3) Australia lost only one match in the tournament 4) The match between India and Sri Lanka was a tie 5) The undefeated team in the league matches lost in the finals 6) England was one of the best teams that did not qualify 9. Who were the finalists? i. SA & India ii. Aus & SL iii. SA & SL iv. none 10. Who won the finals? i. Aus ii. SL iii. SA iv. Can't be determined 11. How many matches did India Win? i. 0 ii. 1 iii. 2 iv. can't be determined 12. What was the outcome of the India England Match i. India won ii. England won iii. It was a tie iv. Can't be determined Direction for Qn 13-14 These qns are based on situations given below: 7 Uni crick players are to be honored at a special luncheon. The players will be seated on a dais along one side of a single rectangular table. A and G have to leave the luncheon early and must be seated at the extreme right end of table, which is closest to exit. B will receive Man of the Match and must be in the centre chair C and D who are bitter rivals for the position of Wicket keeper dislike one another and should be seated as far apart as possible E and F are best friends and want to seat together. 13. Which of the foll may not be seated at either end of the table? i. C ii. D iii. G iv. F 14. Which of the foll pairs may not be seated together? i. E & A ii. B & D iii. C & F iv. G & D Direction for Qn 15-18 An employee has to allocate offices to 6 staff members. The offices are no. 1-6. the offices are arranged in a row and they are separated from each other by dividers>hence voices, sounds and cigarette smoke flow easily from one office to another Miss R needs to use the telephone quite often throughout the day. Mr. M and Mr. B need adjacent offices as they need to consult each other often while working. Miss H is a senior employee and his to be allotted the office no. 5, having the biggest window. Mr D requires silence in office next to his. Mr. T, Mr M and Mr. D are all smokers. Miss H finds tobacco smoke allergic and consecutively the offices next to hers are occupied by non-smokers. Unless specifically stated all the employees maintain an atmosphere of silence during office hrs. 15. The ideal candidate to occupy office farthest from Mr. B will be i. Miss H ii. Mr. M iii. Mr. T iv. Mr. D 16. The three employees who are smokers should be seated in the offices i. 1 2 4 ii. 2 3 6 iii. 1 2 3 iv. 1 2 3 17. The ideal office for Mr. M would be i. 2 ii. 6 iii. 1 iv. 3 18. In the event of what occurrence within a period of one month since the assignment of the offices would a request for a change in office be put forth by one or more employees? i. Mr D quitting smoking ii. Mr. T taking over duties formally taken care of by Miss R iii. The installation of a water cooler in Miss H's office iv. Mr. B suffering from anemia Direction for Qn 19-20 A robot moves on a graph sheet with x-y axes. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are: Instruction Meaning GOTO(x,y) move to pt with co-ord (x,y) no matter where u are currently WALKX(P) move parallel to x-axis through a distance of p, in the +ve direction if p is +ve and in -ve if p is -ve WALKY(P) move parallel to y-axis through a distance of p, in the +ve direction if p is +ve and in -ve if p is -ve 19. The robot reaches point (5,6) when a sequence of 3 instr. Is executed, the first of which is GOTO(x,y) , WALKY(2), WALKY(4). What are the values of x and y?? i. 2,4 ii. 0,0 iii. 3,2 iv. 2,3 20. The robot is initially at (x.y), x>0 and y<0. The min no. of Instructions needed to be executed to bring it to origin (0,0) if you are prohibited from using GOTO instr. Is: i. 2 ii. 1 iii. x + y iv. 0 Direction for Qn 21-23 Ten coins are distr. Among 4 people P, Q, R, S such that one of them gets a coin, another gets 2 coins,3rd gets 3 coins, and 4th gets 4 coins. It is known that Q gets more coins than P, and S gets fewer coins than R 21. If the no. of coins distr. To Q is twice the no. distr. to P then which one of the foll. is necessarily true? i. R gets even no. of coins ii. R gets odd no. of coins iii. S gets even no. of coins iv. S gets odd no. of coins 22. If R gets at least two more coins than S which one of the foll is necessarily true? i. Q gets at least 2 more coins than S ii. Q gets more coins than P iii. P gets more coins than S iv. P and Q together get at least five coins 23. If Q gets fewer coins than R, then which one of the foll. is not necessarily true? i. P and Q together get at least 4 coins ii. Q and S together get at least 4 coins iii. R and S together get at least 5 coins iv. P and R together get at least 5 coins Direction for Qn 24-25 Elle is 3 times older than Zaheer. Zaheer is ? as old as Waheeda. Yogesh is elder than Zaheer. 24. What is sufficient to estimate Elle's age? i. Zaheer is 10 yrs old ii. Yogesh and Waheeda are both older than Zaheer by the same no of yrs. iii. Both of the above iv. None of the above 25. Which one of the foll. statements can be inferred from the info above i. Yogesh is elder than Waheeda ii. Elle is older than Waheeda iii. Elle's age may be less than that of Waheeda iv. None of the above TCS 3 Animesh and Anand together got a profit of Rs. 9,600 and they distributed between themselves in the ratio of 5 : 7. What is the share of Animesh? (a) Rs. 4,000 (b) Rs. 5,600 (c) Rs. 4,800 (d) Rs. 5,200 (e) None of these 4 For more General Aptitude Interview Questions Click Here