问题
单项选择题
In a certain game, a large container is filled with red, yellow, green and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed ?()
A.5
B.4
C.3
D.2
E.0
答案
参考答案:D
解析:
做对该题的关键在对题意的正确理解。根据题意可知,只要147,000能被红色珠子的点值7除尽,则移出的珠子中一定有红色珠子,且147,000能被7整除多少次,移出的珠子中就有多少个红色的珠子。因此考生只需把147,000分解成7,5,3和2相乘的形式就可以了:
147000=72·53·31·23
因此移出的珠子中红色、黄色、绿色和蓝色珠子分别为2.3,1和3个。