[問題]GWD25-Q10

[evelyn_yeh]

The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is
A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm

ANS(C)
不是5.5X5.5嗎??

[evelyn_yeh]

我的媽咪呀
人緣太差
都沒人理我
還是我的問題太弱

[Jios]

to the nearest centimeter, are 6 centimeters long
→ it means that a side of the square is between 5.5 and 6.4 cm

so, just calculate 5.5*5.5=30.25
6.4*6.4=40.96

the area of the square is between 30.25 and 40.96 sq cm
The
least possible value of the actual area of the
square region is C.33.75 sq cm

[evelyn_yeh]

為何要將5.5*5.5=30.25 排除在外???
5.5 也使可以進位成6呀!!

[skull]

to the nearest centimeter, are 6 centimeters long
→ it means that a side of the square is between 5.5 and 6.4 cm

so, just calculate 5.5*5.5=30.25
6.4*6.4=40.96

the area of the square is between 30.25 and 40.96 sq cm
The
least possible value of the actual area of the
square region is C.33.75 sq cm

哈嚕,請問可以解釋一下C是怎麼推來的嗎?

這題是求least possible value of the actual area
(最小可能的實際面積),對吧?

5.5*5.5=30.25 是最小可能的實際面積...對吧?

[hippo3333]

而且33,75不是任何一個數的平方

[whoops]

推答案D

[pimi]

到底答案C.33.75 sq cm 怎麼來的????
求求好心人救救偶阿~> <~

[Jios]

to the nearest centimeter, are 6 centimeters long
→ it means that a side of the square is between 5.5 and 6.4 cm

so, just calculate 5.5*5.5=30.25
6.4*6.4=40.96

the area of the square is between 30.25 and 40.96 sq cm
The
least possible value of the actual area of the
square region is C.33.75 sq cm

哈嚕,請問可以解釋一下C是怎麼推來的嗎?

這題是求least possible value of the actual area
(最小可能的實際面積),對吧?

5.5*5.5=30.25 是最小可能的實際面積...對吧?

No, at least above 30.25
30.25 and 40.96 cannot be include because,according to the question, to the centimeter, are 6 centimeters long

Further,
5.51 and 6.64 also match the requirement from the question
Now you can know why 30.25 and 40.96 cannot be include

[eced]

這題我會選D
因為近似6表示 邊長是大於等於5.5 小於6.5
最小就是5.5的平方
6.4999都比6.4大, 但還是符合啊

[GC06]

這題我會選D
因為近似6表示 邊長是大於等於5.5 小於6.5
最小就是5.5的平方
6.4999都比6.4大, 但還是符合啊

"nearest 6" 應該是指邊長介於5.5000001到6.499999之間
不包含5.5和6.5才對
所以面積會是 (5.5)^2 < area < (6.5)^2
也就是30.25< area<42.25

選項裡面最小又介於此範圍的答案是C 33.75

有問題請指教

[dibert8]

"least" 不是唯一解嗎?
5.500000... 的近似值不是 6 ? (GMAT 怎麼取近似值?)

[CherrieLi]

請問有更詳細的解釋嗎? 我還是覺得答案是D耶...
有在美加補習的同學嗎? 能否幫忙問問老師 nearest 的定義是?

[chris8888]

假如是一個邊的長度經過nearest centimeter而變成6, 那最小應該是5.5, 5.5 * 5.5 = 30.25 答案是D.

5.5 centimeter 取近似值到 1.0 centimeter, 就是6.0 (除非GMAT自創取近似值法, 或者中華民國數學教育與美國不同, 如果真的ETS有自己獨到的取近似值法, 那就這樣吧, 向分數看齊, ETS說了算)

[CherrieLi]

嗯, 我也贊成D