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?
2.
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
3.
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
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