Question #1


How many six-digit numbers do not have adjacent digits the same? That is , we excluding numbers like 689113.(This time you only need to submit the answer 1 only!)

Question #2


10 ping pong balls are numbered from one to ten. If pairs of the balls are drawn at random, what is the most likely sum of the numbers on the two balls?

Question #3


The number 1961 has rotational symmetry. What is the next number that has this same property?

Question #4


1, 64, 243, 256, 125, 36, what is the next number?

Question #5


What is the last digit of (1998)^1997 ??
Surely you can't use a calculator in this case!

Question #6


Find the remainder when 2^1989+1 is divided by 3.
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