【OG20-P287-386题】On the number line, point R has coordinate r and p_OG17新题

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【OG20-P287-386题】

On the number line, point R has coordinate r and point T has coordinate t. Is t < 0 ?

(1) -1 < r< 0

(2) The distance between R and T is equal to r2

A

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
分析A选项
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B

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
分析B选项
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C

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
分析C选项
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D

EACH statement ALONE is sufficient.
分析D选项
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E

Statements (1) and (2) TOGETHER are NOT sufficient.
分析E选项
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预约名师一对一题目解析课程

当前版本由 Helen 更新于2018-09-29 14:52:19 感谢由 Helen 对此题目的解答所做出的贡献。

条件1：不充分
条件2：不充分
1+2：|r^2|<|r|→t<0，充分

题目讨论（10条评论）

提交

你这只猪

画图直接列举数字，-1 
                                            


                                                                                                
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                                                2020-06-08 14:04:01

cindyGMAT330

这样讲，当-1 t=-(r^2 + r ) 那t就是负数; 另外 coordinate是坐标的意思数字线上的坐标应该就是指数字吧。开始我看到coordinate也纠结了好久 xy数轴的话根本没法思考了。。。

0 0 回复 2019-11-21 16:47:21
cindyGMAT330

这样讲，当-1 -t=r^2 + r => t=-(r^2 + r ) 那t就是负数; 另外 coordinate是坐标的意思数字线上的坐标应该就是指数字吧。开始我看到coordinate也纠结了好久 xy数轴的话根本没法思考了。。。

0 0 回复 2019-11-21 16:46:10
cindyGMAT330回复cindyGMAT330

为什么我打字不能完整。。。奇怪

0 0 回复 2019-11-21 16:47:50
波波lll

这道题在说什么……没有一个单词不认识却看不懂

1 0 回复 2019-11-05 16:23:21

想养一只博美

条件1：-10,有r-t=r^2,即t=r(1-r)，已知条件1有 -10，有t-r=r^2,即t=r(1+r),条件1有-1
                                            


                                                                                                
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                                                2019-10-24 13:37:37

shadow99

是有图的吗。。。

0 0 回复 2019-07-20 16:12:19
Jess123

1+2：f-r=r2，f=r2+r>0充分

0 0 回复 2019-03-31 16:47:51
ziyuanguo

什么意思啊

0 0 回复 2019-01-28 18:02:22

驴子旋呀

bb
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Statement Two Alone:

The distance between R and T is equal to r^2.

The distance between two values on the number line is the absolute value of the difference between the two values. Thus statement two gives us the equation |r - t| = r^2. However, without knowing anything about r and t, we can’t determine whether t is less than zero. For instance, r could be 2 and t could be -2; or r could be -2 and t could be 2. In each of the cases, |r - t| = 4 = r^2; but in one case t > 0 and in the other t < 0. Statement two is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using statements one and two, we know that r is a negative proper fraction and |r - t| = r^2. Thus, r - t = r^2 OR r - t = -r^2. Solving each of these for t, we get: t = r - r^2 OR t = r + r^2.

Since r is a negative proper fraction, no matter what the value of r is, t will always be a negative number. For instance, if r = -1/2, then r^2 = 1/4 and t will either be -1/2 - 1/4 = -3/4 or -1/2 + 1/4 = -1/4. 

The reason why t cannot be positive is that when we square r (a negative proper fraction), the value of r^2 (though positive) will be less than the absolute value of r. Recall that t = r - r^2 or t = r + r^2. When a positive proper fraction with a smaller absolute value is added to (or subtracted from) a negative proper fraction with a larger absolute value, the sum (or difference) will always be less than zero.

Answer: C

https://gmatclub.com/forum/on-the-number-line-point-r-has-coordinate-r-and-point-t-has-coordinat-220426.html

0 回复 2018-10-19 14:22:00