?'Square it'
Nick:
55
Mark:
99
How about that, one question two unique answers.
COINS IN A WELL
There are C(4,2)=6 ways to select two of the coins:
D1D2
D1N
D1Q
D2N
D2Q
NQ
Five include at least one dime. Only one of those includes both dimes.
Agreed - BUT
There are 6 possible pairings of the four coins:
dime/dime,
dime(1)/nickel,
dime(2)/nickel,
dime(1)/quarter,
dime(2)/quarter,
nickel/quarter.
You can eliminate the nickel/quarter pairing since we know that 1 coin is a dime.
Since one of the dimes (say dime1) is already out, it leaves 3 possible combinations -
dime1/dime2,
dime1/nickel,
dime1/quarter.)
Therefore:

1 in 3.
What say you?
What number should follow in the series 33, 49.5, 74.25, 111.37, 167.06
Lord Helpless and his family listened to the evening news anxiously for any report of further advances by the military forces. When they heard the reporter announce that the army was pressing forward, and would reach their area by nightfall, Lord Helpless decided that it was necessary that the family evacuate that very night, rather than waiting for morning as previously planned.
However, the recently-retired Colonel Lord Helpless had secret documents in the house which could not be found by the attacking army. Colonel Lord Helpless urged his family to take the car and proceed to the train station. He would remain to burn the documents, and then attempt to catch up with them later on.
Just as the Colonel finished burning the last of the documents, he glanced at his watch. It was too late. The train would have already departed.
Nevertheless, he leaped on his motorbike, and gunned the engine. As he glanced at the horizon, he caught site of the train in the distance.
The train was heading directly east of the station, heading directly for a bridge lying up ahead. He estimated that the train had already done 1 km and that it had 2 km more to go before reaching an upcoming bridge. After the train had passed over the bridge, Lord Helpless would not be able to catch up with it, for he could not pass over the bridge on his motorbike.
Lord Helpless knew that his house was exactly 4 km directly south of the train station. The train itself was .5 km long, and travelled at 50 km an hour.
Would it be possible for Lord Helpless to make it to the train and jump aboard before it passed over the bridge
If you answer the above in the affirmative, what speed would he have to be going