Practice Exam 1- Quantitative

Janny2018 · 发表于 2019-1-3 08:21:52

Q9: The perimeter of a certain isosceles right triangle is What is the length of the hypotenuse of the triangle?

8
16
Q10: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?
- $0.60
- $0.70
- $0.80
- $0.90
- $1.00
- Q13: To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are in the warehouse?
  - 6
  - 8
  - 10
  - 15
  - 30
  - If xy = 1, what is the value of ?
    f d is the standard deviation of x, y, and z, what is the standard deviation of x + 5, y + 5, and z + 5 ?
    
    d
    
    3d
    
    15d
    
    d + 5
    
    d + 15
    
    A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40 percent of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer’s gross profit from the purchase and the sale of the desk?
    
    $40
    
    $60
    
    $80
    
    $90
    
    $100
    
    If x and y are positive integers, what is the value of xy ?
    
    (1) The greatest common factor of x and y is 10.
    (2) The least common multiple of x and y is 180.
    
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
    
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
    
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
    
    EACH statement ALONE is sufficient.
    
    Statements (1) and (2) TOGETHER are NOT sufficient.

痴人也有梦 · 发表于 2019-1-3 13:37:47

第一题 16+16根号2 问长边
两个等边
要么是16/2=8
要么是16根号2/2 = 8根号2

可是如果等边是8的话...两个等边相加小于第三边了...所以不成立
所以等边只能是8*根号2...那长边就是16了

痴人也有梦 · 发表于 2019-1-3 13:44:27

第二题：
题目已经说了第一天是0.1 之后每天总数都是要么是双倍前一天，要么是+0.30 ，哪个少就是哪个
第一天0.1
第二天double 是0.2比0.3+0.1低，所以是0.2
第三天double是0.4 ...而0.3+0.2=0.5 所以是0.4
第四天 double 就成了0.4*2=0.8 而0.4+0.3=0.7 显然更低，所以为0.7

痴人也有梦 · 发表于 2019-1-3 13:46:09

第三题之选择，不用排
c52*cn2=150
cn2=15
n=6

痴人也有梦 · 发表于 2019-1-3 13:52:01

2^(x+y)^2 / 2^(x-y)^2
化简： 2^ [(x+y)^2 - (x-y)^2]

而(x+y)^2 - (x-y)^2 = x^2+2xy+y^2 - x^2 +2xy -y^2 = 4xy

所以上面化成 2 ^ 4xy , 而xy=1 ，所以可以化成2^4 = 16

痴人也有梦 · 发表于 2019-1-3 13:53:18

标准方差内如果每个数字都加减相同的数，这个值不会变
所以仍然为d

痴人也有梦 · 发表于 2019-1-3 13:56:39

x/ ( x+150) = 0.4
x=100

或者直接150 / 0.6 = 250
250-150=100

痴人也有梦 · 发表于 2019-1-3 14:06:21

(1) The greatest common factor of x and y is 10. 显然不行 20/30 , 20/50
(2) The least common multiple of x and y is 180. 同样不行 20/90, 45/60

那么1+2:
180=2^2 *3^2*5 ,而同时2个数的最大公约数是10=2^5 那么剩下2*3^2 如果是2*3 和3 那最大公约数就是30了，不对...所以只能是2和3^2

所以两个数分别为2*10=20; 3^2*10=90

suff

Janny2018 · 发表于 2019-1-3 16:12:11

聪明！一定能上790

Janny2018 · 发表于 2019-1-3 16:17:37

?，祝你成功

Practice Exam 1- Quantitative

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