self Maths Puzzle

a set of football matches is to be organized in a round robin fashion i.e every participating teams plays a match against every other team once if 45 matches are totally played ,how many teams participated?

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self Other Question

If a man travels at speed of 20km/hr, he reaches the office 20 minutes late. If he travels at 30 km/hr, he reaches the office 15 minutes early. If he travels at a speed of 25 km/hr, then, when does he arrive at the office?
I visited a interesting shop last weekend. The signboard in front of the shop read Pick 1 for $2, Pick 10 for $4, Pick 100 for $6 I needed 246 and the shopkeeper charged me $6 for it. Can you tell how the pricing policy of the shop worked ?