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Teachers' Lounge Discussion: Integer

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From: maharage <smaharage@yahoo.com>
To: Teacher2Teacher Public Discussion
Date: 2002021700:18:49
Subject: integer

	The left most digit of an integer of length 2000 digits is 3. In this
integer, any two consecutive digits must be divisible by 17, or 23.
There are two possible values for the 2000th digit. What are they?

Three rugs have a combined area of 200 mē. By overlapping the rugs to
cover a floor area of 140 mē, the area that is covered by exactly two
layers of rug is 24mē. What area of floor is covered by three layers
of rug?

Driving between two towns at 110 km/h instead of 100 km/h saves 9
minutes. How far apart (in km) are the two towns?    

A deck of cards is numbered from 1 to 100. Each card has the same
number printed on both sides. One side of the card is red, and the
other side is yellow. All the cards are placed, red side up, on the
table. First, every card that has a number divisible by two are turned
over. Then all the cards that have a number divisible by three are
turned over. How many cards are red side up?   

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