MBA Exam

How many AP's can be formed from the set S = {1...1000} that start with 1 and end with 1000 and have at least 3 elements?

1) 4
2) 3
3) 7
4) 6
5) 8

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MBA Other Question
If n is any odd number greater than 1, then n(n^2 – 1) is always divisible by(A) 6 (B)24 (C) 48 (D) None of these [CAT 1996]explain why

1) 6
2) 24
3) 48
4) not
 Ajay and Balu started a business together by investing some money. At the end of the first year, out of a total profit of र2000, Ajay received र400 more than Balu. If Ajay had invested र6000 more and Balu had invested र6000 less, Ajay would have received 25% more than what he actually received. What would have been the profit share of Balu, if Ajay's investment and Balu's investment had been less by र3000 and र7000 respectively, and the profit had decreased by 20%

1) 400
2) 440
3) 480
4) 520