Questions


January 2023 1 0 Report
Hello, No need to answer just pls identify what the topics are.
16. On the blackboard, 1 is initially written. Then each of ten students,
one after another, erases the number he finds on the board, and write
its double plus one. What number is erased by the tenth student?
17. For how many real numbers x is √2009 −√x an integer?
18. How many distinct natural numbers less than 1000 are multiples of 10,
15, 35, or 55?
19. Let x and y be nonnegative real numbers such that 2^x+2y = 8√2. What
is the maximum possible value of xy?
20. Let P be the point inside the square ABCD such that PCD(triangle) is equilateral. If AP = 1 cm, what is the area of the square?

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