这里说个计算捷径——(从gmatclub 来的)
Shortcut to multiply numbers of the form (100 + a) or (100 - a)
Write a2a2 on the right hand side. Add a to the original number and write it on left side. The square is ready.
e.g. 1082=(100+8)21082=(100+8)2 Write 64 on right hand side
________ 64
Add 8 to 108 to get 116 and write that on left hand side
11664 - Square of 108
e.g. 912=(100−9)2912=(100−9)2 => ______81 => 8281
(Here, subtract 9 from 91)
Note: a could be a two digit number as well.
e.g 1122=(100+12)21122=(100+12)2 = ______44 => 12544
(Only last two digit of the square of 12 are written on the right hand side. The 1 of 144 is carried over and added to 112 + 12)
This is Vedic Math though the trick uses basic algebra.
(100+a)2=10000+200a+a2(100+a)2=10000+200a+a2
(100 + 8)^2 = 10000 + 200 x 8 + 64 = 10000 + 1600 + 64 = 11664
This is a useful trick that saves time.
(2) (1 + r/100 )^2 > 1.15 --> if r=8 then (1+r/100)^2=(1+8/100)^2=1.08^2≈1.16>1.15
so, if r is slightly less than 8 (for example 7.99999), (1+r/100)^2 will still be more than 1.15. So, this statement is not sufficient to say whether r>8.
must be true
A. 通过wasp的behavior能够确定 能产蛋的hostage的最小size,正确
(小于这个size的不产蛋,大于这个size的有蛋,故这个范围值可以确定)
A. 并没有identify the origin
C. a commonly held belief = because wages are lower in developing countries than in developed countries, competition from developing countries in goods traded internationally will soon eliminate large numbers of jobs in developed countries.
b,lighting still provided mainly by candles-句子结构不完整,缺少谓语
c,where lighting was still being + where引导的noun modifier离修饰的主语homes太远
d,there was less than one percent of homes that had electricity,主谓不一致,there were less than one percent of homes
e,同c,where引导的noun modifier离修饰的主语homes太远,where就近修饰electricity【曼哈顿上说noun modifier需要和修饰名词尽量靠近,adv modifier主要不产生歧义,可以和修饰的adj/verb有距离】
综合来说a是最优选,其他选项都有明显错误
B. 主语是their descendants,变成了descendants released the honeybees,错误
C. 两个过去完成时,错误
D. when错误
E. and错误
A. 最高法院是强调了“国会”在土著问题上至高无上的单边权利,不是最高法院的地位增加
C. abandoned negotiation and execution of formal written agreements = no longer needed to conclude a formal agreement
But in reality the federal government continued to negotiate formal tribal agreements past the turn of the century, treating these documents not as treaties with sovereign nations requiring ratification by the Senate but simply “as legislation to be passed by both houses of Congress”.
把这些documents作为必须由两院都通过的法令
E选项,国会在treaties with sovereign nations的角色并没有被削弱,只不过是联邦政府把这件事不作为treaties with sovereign nations,而是作为legislation了
trade imbalances和trade deficit并列
错选E。【对threaten 的理解】,threaten 一个species,肯定是对这个物种造成伤害,威胁了他们的生存。不是生活中的我威胁你那个威胁啊。。。。
【不要钻牛角尖,不要剑走偏锋】
B.原文只是在说evolved in an environment with few trees,并不是说他们几乎都生活在treeless environment
rc
must be true的问题,必须文中有提到,否则任何有make extra assumption的都不可以。
错选a,文中并没有说“It assumes that the Paleoindians were primarily dependent on hunting for survival.”即使是经常打猎,也不说明他们主要生存来源就是打猎,做了多余假设。
b,文中说“Krech also contradicts Martin's exclusion of climatic change as an explanation by asserting that” 并不是说martin没有考虑气候问题,而是排除了这个因素,,这句话理解偏了;martin's exclusion,Martin把。。排除,长难句理解
把exclusion想成了conclusion!!!%>_<%
it is expected that ...... 正确
sb/sth is expected to do 正确
sb expect that...... 错误
sb/sth is expected that...... 错误,sb/sth和that从句都变成了expect的宾语
B. 并未说应该采用哪种特定的rural development projects
D. certain assumptions:nontechnological阻碍发展,作者在criticize这个assumption
A. red-winged birds先到,会把rice都吃完,所以其他的migratory birds就不会被毒死
C. 注意,说的是birds native to province,无关
我竟然看成了y是40-60的一个数,没有一个是答案
我也是。。
我也是..
+10086
为什么A中的they不能指代experts呢
是white house assigned experts to do
D:Like in可以省略like sth(比较对象)in,但是这个sth只能是前面的Thai crafts了,相当于they,而此处应该用those。
Only one有歧义。
可以翻译为
尽管这些理论brilliant,但是GH只认可其中一个
Or
尽管这些理论brilliant,但是只有GH一个人认可了他们
A. they指代不明,若指代ancient Anasazi则语意奇怪
B. they指代不明,若指代ancient Anasazi则语意奇怪
C. 事实上应该是现在的人们把这个植物叫做spinach,而这个主语应该弱化,故被动形态更好
D. and错误
E. it多余
e选项说的是这个scn受其他外部因素影响比受光线影响因素要多,这是错误的。因为是scn和其他外部因素影响生物周期,而不是SCN被影响。