雷哥网GMAT-【OG20-P276-273题】In cross section, a tunnel that carries one lane o_OG17新题

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【OG20-P276-273题】

In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?

(1) The maximum width of the truck is 2.4 m.

(2) The maximum height of the truck is 4 m.

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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当前版本由 Helen 更新于2018-10-18 23:11:22 感谢由 Helen 对此题目的解答所做出的贡献。

条件1：4.2^2-(2.4/2)^2=16.2，truck的高度未知，不充分
条件2：同理，truck的宽度未知，不充分
结合：16.2>4^2，充分

题目讨论（3条评论）

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kyness

根据勾股定律：单行道的山洞中，卡车和山洞极限关系为（车宽/2）的平方+车高的平方=山洞半径的平方，所以只要等号左边小于等于等号右边即可

1 0 回复 2019-12-21 07:04:30
lxra

隧道是个半圆在最高4.2处可以通过，但是卡车是方体有没有可能在角的地方就卡住了呢？

0 0 回复 2018-11-17 14:11:43
艾米艾米回复lxra

那就看以4.2为斜边，4为其中一个直角边，解出另外一个直角边是1.28，两倍是2.56，大与2.4，所以卡车宽度只要小与2.56都是可以通过的。

0 0 回复 2019-01-27 17:41:40
11

1)+(2) together provide the height and width of the truck.It is sufficient to tell that the tunnel is large enough to accommodate the truck because both of the height and the width are within the range of the tunnel's

0 0 回复 2017-11-18 04:43:36