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191020	What is the reciprocal of the sum of the reciprocals of 2, 4, 6, and 12 ?
191020	Susan drove 30 miles for the whole trip. It takes her car 15miles per gallon for the first 10 miles, and 45 miles per gallon for the remaining trip. What is the total oil consumption?
191020	Tom invests A and B with same amount of money x. The rate of return of A and B is 6% and 8%, respectively. What is the total amount of principal?
191020	S={0.1,0.01,0.001,0.0001,0.00001}. How many different results of the sum of n (n) numbers can be achieved if n ($$n \geq 2$$) numbers are taken out from the set S?
191020	If x and y are integers, and $$( x - y ) ^ { 2 } + 2 y ^ { 2 } = 27$$ , how many possible values of x?
191020	A building has x floors. The top floor has only one room. The number of rooms per floor below is twice that of the floor above it. What is the number of rooms on the bottom floor?
191020	If x is a prime number, what is the remainder when x is divided by 8? (1)The remainder is 1 when x is divided by 2 (2)The remainder is 2 when x is divided by 3
191020	What is the number of factors of positive integer x? (1)18 is the second largest factor of x (2)$$x = 6^n$$
191020	There are seven men and seven women. How many combinations for three men and three women?
191020	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
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
191020	Which is the following cannot be the remainder when 12 times of a positive integer is divided by 15?
191020	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
191020	X^4-X^3+X^2-X>0? (1)X^4>X^2 (2)X<0
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?
191020	The total cost of 100 products is 189, and 15% of the products are defective and can not be sold. What is the price of the remaining products can make the total profit of 100?
191020	$$ \left( \frac { 1 - 10 ^ { 100 } } { 1 + 10 ^ { 50 } } \right) \left( \frac { 1 - 10 ^ { 50 } } { 1 - 10 ^ { 50 } } \right) = ? $$
191020	$$ \frac { 4 } { \frac { \sqrt { 5 } - 1 } { \sqrt { 5 } + 1 } } = ? $$
191020	The salary of Tom consists of base salary and commission. Base salary = The work time*8.5dollars/hour, and commission is 2% of the part which exceeds the amount of sales C. What is the value of C? (1)If Tom works 25 hours, he will get 250 dollars (2)If Tom works 28 hours, he will get 280 dollars
191020	The result of $$1010101^2 - 1010100^2 $$ is a 7-digit number. What is the sum of all the digits of this 7-digit number?