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191020
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A circle is inscribed with a square, and the side of the square is x. What is the area of the shadow?
(1)The area of the shadow is (π-2)x
(2)The area of the square is 64
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191020
|
Both List I and List II consist of consecutive integers, respectively, and the smallest numbers in these two lists are the same. What is the difference between the median of list I and the average of list II?
(1)list I has seven integers, and list II has eight integers
(2)the smallest integer in these two lists is 10
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191020
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Which is the following cannot be the remainder when 12 times of a positive integer is divided by 15?
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191020
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If m and n are positive integers, is $$ \sqrt{m^n}$$ an integer?
(1)m is a square of an integer
(2)n is a square of an integer
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191020
|
The final score of ECON21 is determined by the average score of the 5 tests, and the final project. The weight of the average 5 tests is 0.75, and the weight of the final project is 0.25. The average scores of the first 3 tests is 90, and the score of the final project is 56. What is the average score of the last 2 tests can make ECON21's final score of 80?
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191020
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$$ \left( \frac { 1 - 10 ^ { 100 } } { 1 + 10 ^ { 50 } } \right) \left( \frac { 1 - 10 ^ { 50 } } { 1 - 10 ^ { 50 } } \right) = ? $$
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191020
|
$$ \frac { 4 } { \frac { \sqrt { 5 } - 1 } { \sqrt { 5 } + 1 } } = ? $$
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191020
|
As shown in the figure, after folding the triangle ACE，what's the ratio of AF to EF?
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190215
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The standard deviation of the five numbers s,t,u,v,w is d. Which of the following series has the same deviation?
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191020
|
It will take 20 minutes for A, B, C together to complete a task. A will need 240 minutes if he works alone. B will need 40 minutes if he works alone. How long will it take for C to complete this task alone?
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190215
|
Is n=u?
1：$$n^{2}$$+$$u^{2}$$=0
2：$$n^{2}$$-$$u^{2}$$=0
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190215
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x+y is a multiple of 35. x=?
1: The reminder is 1 when x is divided by 5.
2: The reminder is 2 when x is divided by 7.
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191020
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How many factors of 210 are both greater than 1 and odd numbers?
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191020
|
If x and y are integers, and $$x^2+y^2 = 25$$, xy=12, how many possible values of x+y?
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190215
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x+$$\frac{1}{x}$$=5.$$\frac{1}{x^{2}}$$+$$x^{2}$$=?
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190215
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t is a natural number. s is the sum of six consecutive integers larger than t. p is the sum of six consecutive integers larger than t+6. p-s=？
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190215
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|p-n|=6.5. Which of the following conclusions holds that n is greater than 10?
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190215
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a=$$2^{4}$$,b=$$a^{4}$$,$$2^{x}$$=$$a^{b}$$.x=？
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190215
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$$\frac{0.8^{-5}}{0.4^{-4}}$$=?
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190215
|
x,y,z are positive integers that are larger than 1. x+y+z=?
1：x-y-z=1
2：xyz=231
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