- 1.
- In the square ABCD the points P, Q, R, S are the midpoints of the sides. What is the ratio between the area of the smaller square and the area of the square ABCD?
- (A)
- 1/2
- (B)
- 1/4
- (C)
- 1/5
- (D)
- 1/6
- (E)
- 1/8
- 2.
- One and only one of the following numbers is the square of a natural number. Which one?
- (A)
- 181 056 454 541 232
- (B)
- 114 769 004 000 875
- (C)
- 178 974 001 444 060
- (D)
- 100 000 010 000 001
- (E)
- 100 000 020 000 001
- 3.
- Two cars traveling at constant speed on a track are side by side every 56 minutes. If, with the same speeds, one of the cars were traveling in the opposite direction, the two cars would meet every 8 minutes. How long does it take the faster car to complete one lap on the track?
File translated from TEX by TTH, version 3.59.
On 05 Oct 2004, 08:21.