MBA Exam Numerical Ability Permutation and Combination

51^103 divided by 7.the remainder is

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MBA Other Question

Prashant and Ramnik have to travel from rajiv chowk to airport by metro.they have enough amount of 1,5, 10 and 25 paise coin. Prashant agrees to pay for Ramnik only if he tells the possible combination of coin used to pay for the ticket.
1. how many combinations are possible if the fair is 50 paise??
2. how many combinations are possible if the get discount of 10%. i.e the fare is 45 paise??
1/1.4+1/4.7+1/7.10+1/10.13+1/13.16=???

please do not solve by elemintry method.... try to solve in shortcut and let me know your best shortcut method.