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GMAT考满分·题库

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来源 题目内容
190124 It takes a person 15 minutes from home to the store and 25 minutes from the store to home. The distance from home to the store is 2km. What is the average speed of this person in two sections?
190124 There are three blue balls, five green balls and two red balls in an opaque box. Two balls are taken out randomly. What is the probability that one ball is blue and the other is green?
190321
The quadrilateral ABCD is a trapezoid. AD//BC, ADC=BCD=90°. AD=9, BC=5, CD=12. AB+BD+AC=?
190207 There are three colors of candy in an opaque bag, including two white candy, three red candy and one blue candy. Two candies will be taken out randomly from this bag. What's the probability of taking at least one white candy?
190215 n small balls with radius r were put into a cylinder filled with water, and the small balls were completely submerged in the water. The radius of the bottom circle of the cylinder is 4r, and the height of water before and after putting the balls is $$h_1$$ and $$h_2$$. How to express the difference of $$h_2$$ and $$h_1$$ with n and r?
190407 All the students in a class can sing or dance. The number of students who can both sing and dance is one fifth of those who can sing and one fourth of those who can dance. How many times as many students can only sing as those can only dance?
Ready4

In a rectangular coordinate system, point lies on the -axis and has coordinates . If point lies on the positive -axis and the area of the triangle formed by connecting the origin, , and is , what is the -coordinate of ?

Ready4

If is a prime number, is a positive integer, and , what is ?

Ready4

For how many ordered pairs that are solutions of the system above are and both integers?

OG18-数学分册 A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $${R}_{i}$$ $$(1 \leq i \leq 5)$$. The average of the amounts in column j is Cj $$(1 \leq j \leq 4)$$. What is the average of all 20 amounts on the spreadsheet?(1) $${R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550}$$(2) $${C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
OG12 OG15 OG16 if x=-1,then $$\frac{x^4-x^3+x^2}{x-1}$$
Magoosh If $$f(x) = x^{4} - 3x^{3}- 2x^{2} + 5x $$, then f(-1) =
191020 What is the value of 1+2+3+4+5+6……+99+100 ?
OG19-数学分册 The infinite sequence $$a_1$$, $$a_2$$, ... , $$a_n$$, ... is such that $$a_1 = 2$$, $$a_2 = -3$$, $$a_3 = 5$$, $$a_4 = -1$$, and $$a_n = a_{n-4}$$ for n > 4. What is the sum of the first 97 terms of the sequence?
A certain chemical reaction requires $$\frac{4}{7}$$ units of catalyst for every unit of chemical. How many students can perform an experiment if there are $${20}\frac{4}{7}$$ units of catalyst available in the lab, and only one unit of the chemical is required for each student?
Ready4

If  is a positive integer and , which of the following could be a value of ?

Ready4

In a certain school 3/4 of boys and 2/5 of girls wear overcoats in winter. If the ratio of boys to girls in the school is 4:1, then what percentage of total students wear overcoats in winter?

Ready4

A right triangle has two legs of equal length. What is the perimeter, in centimeters, of the triangle?

  1. The area of the triangle is 4 square centimeters.
  2. The hypotenuse of the triangle measures 4 cm.
OG18-数学分册 If $$\frac{3}{10^{4}}$$ = x%, then x =
190415 $$a_1$$=4,$$a_n$$=2$$a_{n+1}$$,$$a_8$$=?
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