MBA Exam

let Sm denote the sum of the squares of first m natural numbers.For how many values of m <100 , is Sm a multiple of 4 ?For how many values of m <100 , is Sm a multiple of 4Question: For above question , for how many values will the sum of cubes of first m natural numbers be a multiple of 5(if m < 50 ) ?

1) 50
2) 25
3) 36
4) 24

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MBA Other Question
What will be the last two digit of 222^67.. ??? Plz explain....

1) 12
2) 32
3) 64
4) 52
 A man standing from a point P ,takes exactly six equal steps .Each step is in one of the four directions-East,WEst,north and south.what is the total number of ways in which the man ends up at point P after the six steps??

1) 200
2) 256
3) 400
4) 512