MBA Exam

How many pairs of distinct natural numbers,a and b(a>b) ,do not satisfy the inequality a^b < b^a?With explanation please.....

1) 2
2) 4
3) 6
4) 10

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MBA Other Question

How many 3 - digit even numbers can you form such that if one of the digits is 5 then the following digit must be 7?(a) 5(b) 405(c) 365(d) 495

1) a
2) b
3) c
4) d
The power of 45 that will exactly divide 123! is? kindly post solution as well

1) 28
2) 30
3) 31
4) 59
5) 29