MBA Exam

If you form a subset of integers chosen from between 1 to 3000 such that no two integers add up to a multiple of nine, what can be the maximum number of elements in the subset?Pls post the soln

1) 1668
2) 1332
3) 1333
4) 1334

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MBA Other Question

The unit digit in the expression 36^234*33^512*39^180- 54^29*25^123*31^512 will be?(Kindly Post solution as well)

1) 8
2) 0
3) 6
4) 5
5) 4
In a 1000 yards race, B has 6 yds. start and C 15 yds. when A reaches the winning post B is 4 yds. and C is 5 yds. behind. how many yds. start can B give C so as to make a dead heat with C?

1) 1000/99 yds
2) 1002/99 yds
3) 1007/99 yds
4) none of these