华尔街考数学

觉得这很逗，也不复杂。

大家小试牛刀？呵呵，估计大家不会作弊吧？

 

Question 1 (Math Pulse trivia category)

Fermat’s Sandwich Theorem reveals what mathematical fact?
A) A function between two others that have the same limit has that limit as well.
B) 26 is the only number immediately between a square and a cube.
C) A bounded increasing sequence has a limit.
D) 152 is the largest number immediately between a prime and a triangular number.
E) Any sandwich can be cut so that both pieces have the same amount of bread and the same amount of filling.

Question 2 (Gardner Greats based on the work of Martin Gardner)

Which of the following must be true about the handshaking that occurred at a recent teachers’ convention?
A) The number of teachers who shook hands an odd number of times is even.
B) The number of teachers who shook hands an even number of times is odd.
C) The number of teachers who shook hands an odd number of times is odd.
D) The number of teachers who shook hands an even number of times is even.
E) The number of times teachers shook hands is odd.

Question 3 (Math Classics, easier level)

Given any quadrilateral, connecting the midpoints of consecutive sides will always result in which of the following shapes?
A) square
B) rhombus
C) rectangle
D) parallelogram
E) kite

Question 4 (Math Pulse pop culture)
Who among the following received a scholarship to study Chemical Engineering with Mathematics at Northwestern University?

A) Heidi Klum
B) Kate Moss
C) Brooke Shields
D) Naomi Campbell
E) Cindy Crawford

Question 5 (From the Finals Round)
Let m be the smallest positive integer such that m²+7m+89 is divisible by 77. What is m?

 

[gx123]

有意思..用modulo分解可得最后一题答案为18...