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The side length of diamond ABCD is 130. BD=100. What is the area of the shaded part?
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Someone's home and company are on the same side of a straight road. However, because of the construction of the road, he has to take a detour. Now he goes to the company by walking 3km to the north, 6km to the west and 5km to the north from his home. How many kilometers does this person walk more than usual?
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k,m,p are integers. Is km+p odd?
1: m+p is even.
2: k+p is odd.
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Someone ate a meal and paid a total of $1000. The items to be paid were meals, drinks, tips and taxes. How much this person paid for tips?
1: The taxes equaled to 1% of the price of meals and drinks.
2: The tip is 2% of price of the meals, drinks and taxes.
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-1 < x < 0. Please arrange $$x^{-1}$$,$$x^{-2}$$,x,1 from small to large
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x,y are positive integers and x*$$y^{3}$$ is an even number. Which of the following must be even?
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Triangle ABC is an equilateral triangle. The radii of circles A, B, and C are all 10. What is the perimeter of the figure composed of solid lines?
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The owner of the retail shop paid $150 for 200 dozen eggs, six dozen of which were left for his family to eat, and the other eggs were sold at $1.1/dozen. What is the ratio of profit to cost?
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Square tiles of size 9*9 inch2 are applied to rectangular floors of size 18*12 feet2. How many tiles are needed to cover the rectangular floor? (1 feet = 12 inch)
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A post office issued 10 of new stamps. Someone collected three of them. If two of the 10 stamps are chosen, what is the probability that none of the two stamps will be included in the three collected by this person?
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Is am+b odd? (a,b,m are integers.)
1: a+b is odd.
2: a+m is even.
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Two drivers, A and B, drive at the same direction and their uniform speed on the same road. At a certain time, the distance between A and B is 10miles. How long does it take B to catch up with A from that time?
1: A is 10mph slower than the highest speed while B is 10mph faster than the highest speed
2: the driving speed of B is 65mph.
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$$0.1^{n+1}$$ ≤ 0.00625 ≤ $$0.1^{n}$$.n=?
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Which of the following option makes $$\frac{7x}{\sqrt{-2x^{2}+8}}$$ irrational number?
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|x+y|=|x-y|. Is x-y > 0？
1：x+y < 0
2：x+y > x-y
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190603
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Given a table, there are now 18 courses in total, each course lasts 7 days, but only starts on weekdays, the first day starts on Friday, then when the last course ends?
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$$(x+y)^{2}$$=13,$$(x-y)^{2}$$=5, xy=?
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Does the median belong to [15000,16000]?
1: More than half of the data are less than 16000.
2: At least half of the data are greater than 15000.
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Someone drove to an airport at an average speed of 60 km/h, and the average speed of an airplane to its destination was 600 km/h. The flight time was one-half of the driving time. The sum of driving distance and flying distance was 2640 km. How long did it take for this person to drive to the airport and fly to the destination?
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f(x)=$$x^{n}$$-1. What's the solution of f(x)=0?
1: n is odd.
2: n is the multiple of 3.
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