190302
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x,y are positive integers. Does x consist of the sum of the squares of two positive integers?
1: x is prime.
2: x=4y+1(0 < y <5)
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190302
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$$\frac{1}{n(n+1)}$$-$$\frac{1}{(n+1)(n+2)}$$=$$\frac{2}{n(n+1)(n+2)}$$.$$\frac{2*29}{5*6*7}$$+$$\frac{2*29}{6*7*8}$$+$$\frac{2*29}{7*8*9}$$+......+$$\frac{2*29}{28*29*30}$$=?
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190302
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There is a set of {1,2,3,4,5,6}. What is the probability that two non-repeated numbers are randomly selected from the set and the sum of the two numbers can be divided by 4?
1: One of the two numbers chosen is three times the other.
2: Both numbers selected are odd.
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190302 还原机经选题: 文字题&几何
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A company produced a kind of products and sold them at a discount this quarter. The sales revenue of this quarter was 40% higher than that of last quarter. What was the percentage increase of sales volume in this quarter compared with last quarter?
1: The price of each item before the discount was $5.
2: The price of each item was reduced by 20%.
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190302
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There are only two types of employees in a company, workers and managers. The range of wages between workers is $1000 a month. The difference between the managers is $3000 a month. What's the minimum difference of the wages for all employees in this company?
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190302
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r,s,t are three real numbers. Will the average and median of the three numbers be equal?
1: The average of the three numbers is s.
2: r < s < t
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190302
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A quadrilateral ABCD is inscribed in the circle O whose center is on segment AC. ∠BAD=70°. ∠BCD=?
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190302
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The area of a circle is $$\frac{9π^{2}}{4}$$. What is the diameter of the circle?
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190302
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The angle of the sector shadow area is 75 ° and the corresponding area is 7.5 π. What is the area of the whole circle?
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190302
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How many solutions does the quadratic equation 2$$x^{2}$$+3x+c=0 have?
1:△ > 0
2:c > 0
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