MBA Exam

find the last 2 digits of 7^1 + 7^2 +.....+7^342please post the approach

1) 42
2) 56
3) 99
4) 01

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MBA Other Question
N = 51!+2!+3!+...+12!+13!The digits of the number N are added to get another number. Then
the digits of the number obtained are added to get yet another number.
The process is repeated till a single digit number is obtained. What is
that single digit number?
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1) 8
2) 0
3) 3
4) 4
 hw many nos btw 1 and 500 can be expressed as a diff of square of at least one way????please post the approach

1) 125
2) 250
3) 126
4) 100