MBA Exam

what is the Reminder when 6^83 + 8^83 is divided by 49

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MBA Other Question

Let x1, x2, x3, … be a sequence of integers which has infinitely many positive integers as well as infinitely many negative integers. If for every positive integer n, the remainders of x1, x2, x3, …, xn upon divisions by n are all distinct, then, choose the most correct statement about the sequence.Please explain the answer !!

1) Every integer appears at most once in the sequence
2) Every integer appears at least once in the sequence
3) Every integer appears exactly once in the sequence
4) None of the above
A and B are the two opposite ends of a swimming pool and the distance between them is 420 metres. Ankur and Manu start swimming towards each other at the same time from A and B, with speeds in the ratio 5 : 9 respectively. As soon as any of them reaches an end, he turns back and starts swimming towards the other end. At what distance (in metres) from A will they meet when Manu is in his 13th round? Note: A to B is considered one round and B to A another round.(a) 405 (b) 330 (c) 240 (d) 280 (e) 210

1) a
2) b
3) c
4) d
5) e