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9月MATHJJ的不解之处,请NN回复

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楼主
发表于 2006-9-23 21:11:00 | 只看该作者

9月MATHJJ的不解之处,请NN回复

A. 106. n>2的整数(138的条件,不影响结果)n=?

1)  11^n的十位数是4

2)  5^n的百位数是6

    我的答案:  E

 

316变体

DS题,问n的个位数是多少?

条件1: 11^n的十位数是4

2:  5^n的百位数是6

选A。

 

碰到这种题目怎么做啊?给点思路

 

B. 有白色花21个和红色花91个,说要拿这些花扎成花束bouquet,每束花里面白色和红色的花个数相等,最多能扎多少束相同的花束? 

 

答案到底是什么?

 

C. 一个organization里女的占30%,已婚男的占3 / 8,问以下哪个必然对?
                

       女的人数 > 已婚男的人数?
                

         女的人数 > 未婚男的人数
                

         已婚男的人数 > 未婚男的人数
                

 

答案到底是什么?

 

D. 一个数字四舍五入到整数后,与原来的数字不一定相等。用EI)表示差异和原数的百分比。比如:I=1.5E1.5=33 1/3% E1.6-E2.5
            
答案:A 5%  B 33 1/3%

 

这题什么思路?

 

E. X^2+Y^2能被5整除吗?
            C

       1. X-Y5的余数是1

       2.X+Y5的余数是3   (有变体余数是2

这题什么思路?

 

F.       说有个三角形,边ABC
            
问是否是right angle
                E

1
A^2+B^2=3^2+4^2
2)  A^2+C^2=3^2+5^2

 

这题答案为什么不是C?

 

G  DS:N IS A FACTOR OF 18200 N的最大PRIME?

         1N...

         2N is a 乘积of 480     答案是B

这题什么思路?

 

 

 

 

沙发
发表于 2006-9-24 00:09:00 | 只看该作者
 一个organization里女的占30%,已婚男的占3 / 8,问以下哪个必然对?
            

       女的人数 > 已婚男的人数?
                

         女的人数 > 未婚男的人数
                

         已婚男的人数 > 未婚男的人数
                

---

simple and workable way is put a number in this kind of problem.

for example: suppose totally number is 100

then 女的人数 = 30; 已婚男的人数=27 (26.5)

      未婚男的人数=70-27=43
                            

---

simple and workable way is put a number in this kind of problem.

for example: suppose totally number is 100

then 女的人数 = 30; 已婚男的人数=27 (26.5)

      未婚男的人数=70-27=43
                

板凳
发表于 2006-9-24 00:18:00 | 只看该作者

A. 106. n>2的整数(138的条件,不影响结果)n=?

1)  11^n的十位数是4

2)  5^n的百位数是6

    我的答案:  E
            

----

this one is sort of unique, when i did that, i use a stupid way, which is to calculate a few n to see what rule it has.

Namely, i multiple 5 get 5(n=1), 25 (n=2) ...till n=8, then I noticed that when n =4, 6, 8,...  百位数是6.

then i did   11^n, i calculated utill n=7, only when n=4,  it has 十位数是4.(actually when n=4, 14, 24, 34.....)

Don't worry, u can just memorize the results, and this one is not easy one, don't worry la.

----

this one is sort of unique, when i did that, i use a stupid way, which is to calculate a few n to see what rule it has.

Namely, i multiple 5 get 5(n=1), 25 (n=2) ...till n=8, then I noticed that when n =4, 6, 8,...  百位数是6.

then i did   11^n, i calculated utill n=7, only when n=4,  it has 十位数是4.(actually when n=4, 14, 24, 34.....)

Don't worry, u can just memorize the results, and this one is not easy one, don't worry la.

-------------------

316变体
            

DS题,问n的个位数是多少?

条件1: 11^n的十位数是4

2:  5^n的百位数是6

选A。
            

-------------------

-------------------

地板
发表于 2006-9-24 00:23:00 | 只看该作者

D. 一个数字四舍五入到整数后,与原来的数字不一定相等。用EI)表示差异和原数的百分比。比如:I=1.5E1.5=33 1/3% E1.6-E2.5
            
答案:A 5%  B 33 1/3%
            

               差异         原数          百分比

E1.6)      2-1.6=0.4      1.6            25% (0.4/1.6)

    -

E2.5)      3-2.5=0.5      2.5            20% (0.5/2.5)

    =                                       25%-20%=5%

               差异         原数          百分比

E1.6)      2-1.6=0.4      1.6            25% (0.4/1.6)

    -

E2.5)      3-2.5=0.5      2.5            20% (0.5/2.5)

    =                                       25%-20%=5%

5#
发表于 2006-9-24 00:33:00 | 只看该作者
 X^2+Y^2能被5整除吗?
        C

        

       1. X-Y5的余数是1

       2.X+Y5的余数是3   (有变体余数是2
            

-------

x-y=5a+1; x+y=5b+3       -----------x=5(a+b)/2   + 2;  y= 5(a+b)/2   +1

put x & y into X^2+y^2,    ----------X^2 +y^2 =  25 * (a*a +b*b)/2  + 15b + 5a + 5

since each has a number of 5n, the total number can be divided by 5

-------

x-y=5a+1; x+y=5b+3       -----------x=5(a+b)/2   + 2;  y= 5(a+b)/2   +1

put x & y into X^2+y^2,    ----------X^2 +y^2 =  25 * (a*a +b*b)/2  + 15b + 5a + 5

since each has a number of 5n, the total number can be divided by 5

6#
发表于 2006-9-24 00:37:00 | 只看该作者

说有个三角形,边ABC
            
问是否是right angle
                E

1
A^2+B^2=3^2+4^2
2)  A^2+C^2=3^2+5^2

this problem is testing ur carefulness, as we know, 3,4,5 can constitute a right triangle.

but what the question says is a^2 +b^2=3^2 +4^2 (which is 25), lots of numbers of a and b can meet this standard (a^2+b^2=25), the question does not tell you that one equals to 3, and the other is 4.

be careful

7#
发表于 2006-9-24 00:41:00 | 只看该作者
 DS:N IS A FACTOR OF 18200 N的最大PRIME?

         1N...

         2N is a 乘积of 480     答案是B

这题什么思路?

 this JJ is not clear, forget about it unless u have a more complete question description.

Remember JJ is just to show you what kind of problem u might meet, so don't memorize the answer u see online, that's not a right way. key point is to understand the underlying logic.

good luck

 

 this JJ is not clear, forget about it unless u have a more complete question description.

Remember JJ is just to show you what kind of problem u might meet, so don't memorize the answer u see online, that's not a right way. key point is to understand the underlying logic.

good luck

 

8#
 楼主| 发表于 2006-9-24 13:30:00 | 只看该作者
Thank you so much for your explaination! I will take the GMAT on September 26 in Shanghai. So nervous as AWA and Math are my weakness.
9#
 楼主| 发表于 2006-9-24 13:35:00 | 只看该作者

more question about the GMAT test: what should I bring to the test center on that day? just my passport? how to choose the school? Shall I take down the school code now and bring it to the test center as what we do for the paper-based toefl test?

What's the best time to arrive there? my schedule time is 9:00 a.m.. Any other suggestions? Thanks a lot

10#
发表于 2006-9-24 20:48:00 | 只看该作者
以下是引用whatapain在2006-9-24 0:37:00的发言:

说有个三角形,边ABC
   
问是否是right angle
    E

1
A^2+B^2=3^2+4^2
2)  A^2+C^2=3^2+5^2

this problem is testing ur carefulness, as we know, 3,4,5 can constitute a right triangle.

but what the question says is a^2 +b^2=3^2 +4^2 (which is 25), lots of numbers of a and b can meet this standard (a^2+b^2=25), the question does not tell you that one equals to 3, and the other is 4.

be careful

请问如果写明是A.BC三边是整数应当可以选A吧

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