Tag: math competition

The Fibonacci sequence 1,1,2,3,5,8,13,21,…starts with two 1 , and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?

(A) 0 (B) 4 (C) 6 (D) 7 (E) 9

ANSWER:C

Teams A and B are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team A has won 2/3 of its games and team B has won 5/8 of its games. Also, team B has won 7 more games and lost 7 more games than team A. How many games has team A played?

(A) 21 (B) 27 (C) 42 (D) 48 (E) 63

ANSWER： C

The acute angles of a right triangle are A degrees and B degrees, where A>B and both A and B are prime numbers. What is the least possible value of B?

(A) 2 (B) 3 (C) 5 (D) 7 (E) 11

ANSWER: D

answer（答案）：4036.

Solution：just use 4 and 2018

解法：直接用4 和2018

The sum of two positive integers is 2022. The least common multiple of the numbers is 2018 times of their greatest common factor .

what is the least common multiple of the numbers?

两个数的和是2022.他们的最小公倍数是最大公约数的2018倍。

请问：他们的最小公倍数是多少？