A country's per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500?
(1) Country G's national debt to the nearest $1,000,000,000 is $43,000,000,000
(2) Country G's population to the nearest 1, 000,000 is 86,000,000
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
题目意思应该是说 是否是在495-505波动的
题干:debt/population的范围是否在【495,505】内?
1.debt四舍五入到十亿分为为43,000,000,000,则42,500,000,000<=debt<=43,400,000,000 ,未知人口数量,不充分
2.人口四舍五入到百分位为86,000,000,则85,500,000<=人口<=86,400,000 ,未知debt数量,不充分
1+2 42,500,000,000/86,400,000得d/p下限,43,400,000,000/85,500,000得上限,范围大于495到505的范围,即有可能满足也可能不满足题干,不充分
範圍(42500/86.4~43400/85.5)=(491.89~507.60),没法确定是否會在495~505之间
为什么5到500之间可以用within $5 of $500?这种表达 这个of好奇怪
nearest $1,000,000,000 is $43,000,000,000,四舍五入,变动范围是42500m~43400m
nearest 1, 000,000 is 86,000,000,四舍五入,变动范围是85500k~86400k
495到505之间波动
d的范围是(42500~34300),p的范围是(85.5~86.4),d/p的范围是(42500/86.4~43400/85.5)=(491.89~507.60),没法确定是否每个都在5~500之间。
问:个人负债是否在495~505这个范围?1)总体负债的最小可能值是43;2)总人口达最大可能值是86。两个加起来都不充分,因为没有最大可能负债和最小可能人口。
直接相除,43,000/86,结果是500,所以确定其最大值能否超过500就好,就用最大的可能的分母43,500,除以最小的可能的分子85.5,不过这么算比较麻烦,直接用500乘以分子85.5,如果乘积达不到43,500,说明500不够,也就说明原本的结果范围上限大于500
d的范围是(42500~34300),p的范围是(85.5~86.4),d/p的范围是(42500/86.4~43400/85.5)=(491.89~507.60),没法确定是否每个都在5~500之间。
508
491
e