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OG19-定量推理	$$left\| -4 right\| (left\| -20 right\| - left\| 5 right\|)$$ =
OG19-定量推理	If $$\frac{3}{10^{4}} = x$$%, then x =
OG18-定量推理	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 $$(1 \leq j \leq 4) $. What is the average of all 20 amounts on the spreadsheet?(1)$ {R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550} $(2)$ {C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
Ready4	If the product of integer $m$ and integer $n$ is odd, then which of the following must be even?
Manhattan	During the summer of 1778, seeking to find alternative explanations for the process of evolution, Jean-Baptiste Lamarck repeated his initial experiment on mollusks once in every 4 weeks but received exactly the same results 3 times in a row.
300难题	Machines X and Y run at different constant rates, and machine X can complete a certain job in 9 hours. Machine X worked on the job alone for the first 3 hours and the two machines, working together, then completed the job in 4 more hours. How many hours would it have taken machine Y, working alone, to complete the entire job?
Ready4	In what proportion should a 2% alcohol solution and a 40% alcohol solution be mixed in order to produce a 15% solution?
Ready4	For how many values of $x$ does $x^{<font color='#FE8080'>4</font>}-4x^{3} + 4x^{2}=0$ ?
190124	Which line in the coordinate system only passes through only one point whose x and y coordinates are all integers?
190321	The portion of the iceberg that is out of the water accounts for 1/8~1/7 of the total volume of the iceberg. What is the ratio of the part of the iceberg above the water to the part below the water?
191020	If $x^3=-3$ , which of the following is the value of x2?
190215	Which of the following options has the standard deviation greater than that of the sequence {- 20, - 10,0,10,20}?
190302	The denominations are different while the thickness is the same. The total value of $10000 of $20 banknotes is 35feet10inches. What is the height of the total value of $6000000000 of $50 banknotes? (1feet=12inches)
Magoosh	If the average (arithmetic mean) of a and b is j, and the average of c, d, and e is k, what is the average of a, b, c, d, e and j ?
Magoosh	In Ophiuchus Corporation, 60% of the total revenue R is devoted to the advertising budget. Five-sixths of this advertising budget was spent on television advertising. Which of the following represents the dollar amount spent on television advertising?
Magoosh	In the diagram above, the triangle is equilateral with a side of 2. All three circles are of equal size and all are tangent to each other and to two sides of the triangle. Which of the following is the radius of one of the circles?
	A model of London's Millennium Wheel in the cubicle of Manhattan Review's CEO has supports which are 4 centimeters apart, and a reinforcement bar of 2 centimeters in length. The length of each support is 8 centimeters. If a fly sits on top of the wheel, how high does it sit above the surface on which the supports rest?
	For which of the following functions f(x) is the relation f(f(x)) = f(f(f(f(x)))) NOT true for at least some values of x not equal to zero?
	If a + b = 24 and a = 3b, then $\sqrt{a}+\frac{a}{b}=$
Manhattan	If 3x + 2y + 5z = 10 and 6x + 4y = 12, what is the value of z?