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Magoosh The average (arithmetic mean) of 4 different integers is 75. If the largest integer is 90, what is the least possible value of the smallest integer?
Manhattan Let Set T = {2, 4, 5, 7}. Which of the following values, if added to Set T, would most increase the standard deviation of Set T?
191222 730高分节-数学测试 It is known that: 1^2+2^2+3^2+....+ 10^2=n, so 2^2+4^2+6^2+..8^2+...+18^2+ 20^2=？
Ready4

A 20-liter mixture of water and apple juice contains juice and water in a ratio of 6 : 4. Ten liters of the mixture are removed and replaced with pure juice; then this process is repeated once more. At the end of the two removals and replacements, what is the ratio of juice to water in the resulting mixture?
If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter = 100 centimeters)
300难题 If d=$$\frac{a+b}{1+\frac{ab}{c^{2}}}$$ ,a=$$\frac{c}{2}$$,and b=$$\frac{3c}{4}$$,what is the value of d in terms of c ?
OG12 PREP07 Test 2 If n is a positive integer, is $$n^3 - n$$ divisible by 4 ?(1)$$n = 2k + 1$$, where k is an integer.(2)$$n^2 + n$$ is divisible by 6.
Does the integer k have a factor p such that 1 < p < k?(1)k>4!(2)$$13! + 2 \le k \le 13! + 13$$
190302 y=-|a-x|+b. What is the area of the graph of this function above the x axis? 1：b=4 2：ab=8
190113 x, y, and z are consecutive integers. 0 < x < y < z. Is xz even? (1) xy is even. (2) xyz is divisible by 4.
In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th, and 18th terms in the sequence?
Ready4 Today, Anne is three times as old as Bobbi and Bobbi is 4 years younger than Charles. If Anne, Bobbi and Charles are all alive 3 years from today, which of the following must be true on that day?

I. Charles is 4 years older than Bobbi.

II. Anne is three times as old as Bobbi.

III. Charles is younger than Anne.

 
Ready4

A square table has a square glass inlay in the center, and a wooden strip of uniform width surrounding the glass. If the ratio of the glass inlay to the wooden strip is 4 to 5, which of the following could be the width, in feet, of the wooden strip?

I. \tfrac{1}{<font color='#FE8080'>4</font>}

II. \tfrac{1}{2}

III. 1
Ready4

If , which of the following must be true?

  I.

 II.

III. is positive.
Ready4

A town has a public relations committee and an events committee. If each of the members is on at least one of these committees, how many are on the events committee only?

(1) of the members are on the public relations committee.

(2) of the members are on both committees.
191031 There are 5 green balls and 5 white balls in the box, numbered 1.2.3.4.5. Now a white ball and a green ball are taken away. What is the number on the green ball taken?
1: If one ball is selected from the remaining balls, the probability of selecting an even green ball is 1/8.
2: If one ball is selected from the remaining balls, and the probability of taking “4” is 1/4.
Magoosh If four numbers are randomly selected without replacement from set {1, 2, 3, 4}, what is the probability that the four numbers are selected in ascending order?
OG18-数学分册 If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S ?
OG12 If the sum of 5, 8, 12, and 15 is equal to the sum of 3, 4, x, and x + 3, what is the value of x ?
300难题 Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann?