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190310 还原机经选题: 文字题&几何
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The price of clothes in stores has gone up. Thus, the profit has increased from 15% of the cost to 40%. The cost of clothes does not change. The current price of each cloth is $70. What is the original price?
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190310
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e >d. Is ed < 0?
1:ed^2 >e^2d
2:e+d=1
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190310
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Is b even?
1:$$b^a+a$$ is even.
2:$$a^b+b$$ is even.
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190310
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A, B is independent events. The probability of occurrence of event a is 1/3, and that of event B is 1/2. What is the probability of at least one occurrence in A and B?
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190310
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Is |x|>|y|？
1：x/y>0
2：xy>0
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190310
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In a pentagonal ABCDE, ∠A=∠B=∠C=∠D. ∠E is the smallest of the five angles. ∠A=？
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190310
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$$(x^2+bx-1)(x^2-bx+1)=x^4-9x^2+6x-1$$.b>0,b=?
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190310
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p,s are different integers. How many factors does $$ps^2$$ have?
1: p,s are prime numbers.
2: p,s are odd.
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190310
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A belt connects the two rotating rollers. The length of the belt is 2m. The diameter of the rollers is 0.2m. What is the distance between the center of the two rollers?
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190310
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x+2y+3z=5,2x+3y+4z=17,x+y+z=?
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190310
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a,b,c,d are integers. abcd-a-b-d=？
1：d²≥289
2：a²+b²+c²+d²=289
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190310
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There are n students in a class (n>5). Each student has at least one pen. Do at least two students have the same number of pens?
1: The total number of pens is equal to 30.
2: The total number of pens is $$n^2-n$$.
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190310
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k is a positive integer. Is k+1 a prime number?
1: k is not a prime number.
2: k is a factor of 30.
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190310
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Is m>2?
1.$$\sqrt{m \sqrt{m \sqrt{2m}}} > 2$$
1.$$\sqrt{2 \sqrt{2 \sqrt{2m}}} > 2$$
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190310
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In the cinema, the unit price is $20 for adults and $5 for children. What was the average price of tickets sold at this cinema?
1: The number of adult tickets sold in this cinema was three times of that of children tickets.
2: The cinema sold out ten children's tickets.
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190310
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What's the largest prime factor of 441?
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190310
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In rectangular ABCD, ab = 10, BC = 6. What is the area of the blank area?
1：l=0.8
2：∠d=45°
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190310
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The swimming pool will be filled with water whose rate of flow is 50 L/min. The pool is 120 m^3 in total. How many hours is necessary to fill 2/3 of the pool?
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190310
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r,s,t are positive integers. t=?
1：s=rt+s
2：st=r
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190310 还原机经选题: 数论&代数
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If the 40 consecutive positive integers 1-40 are divided by 6 to get 40 residues, what is the sum of the residues?
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