MBA Exam

In a cyclic quad, the diagonals AC and BD intersect at P at 90deg, If PA=8,PC=9 & radius of circumcircle of ABCD=rt(81.25), then find PD if PD is less than PB. Please post appraoch...

1) 12
2) 9
3) 8
4) 6
5) 4

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MBA Other Question

Rahul and Vijay are playing a game with a 12-sided die, where both of them lay bets on the outcome of a roll of the die. They start by betting RS.5 each on the first round of the game and the amount bet in each subsequent round is thrice the amount bet in the previous round. The game ends when Rahul wins a round. Rahul wins only when the die shows a 10, 11 or 12; Vijay wins for all other outcomes. If the game ended after the nth round, which of the following cannot be the sums of money won by Rahul and Vijay respectively?

1) 10,935, 5,465
2) 3,645, 1,820
3) 32,805, 49,205
4) 1,215, ` 605
A grandfather had a big bundle of hundred - rupee notes. He wanted to give his 3 grandsons some pocket money during the 10 days of Dushera. On the first day he gave them a total of three notes, on the second day a total of four notes and so on. (On the nth day he gave them a total of n + 2 notes.) If on each day, each grandson got at least one note, in how many ways could the grandfather have given the notes?
plz give approach

1) 11c2
2) 12c2
3) 12c3
4) non of these