190310
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The square ABCD has a side length of 16. DE=DH=BF=BG=6. What is the ratio of the area of the hexagon DEFBGH to the area of the square ABCD?
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190310
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A positive integer x is less than 50. The remainder of x divided by 7 is 1. x=?
1: The remainder of x divided by 9 is 7.
2: The remainder of x divided by 4 is 3.
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190310
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$$(x^2+2x+1)(x^2-2x+1)=x^4+1$$.x=?
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190310
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Two athletes ran along a straight track. The speed of A was 10 miles/h, and the speed of B is 15 miles/h. A was 1mile ahead of B at first. What's the distance between A and B after half an hour?
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190310
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The bottom surface of the inverted conical vessel is parallel to the horizontal plane. The height of the cone is twice of the radius of the bottom. The container is partially filled with water. There is a small hole at the tip of the conical container. The speed of water leakage is 2cm^3/min. How long does it take for the water in the container to run out?
1: The water surface area is 9 π cm2
2: The distance between the water surface and the bottom of the container is 4 cm
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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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A shop sold 10 sets of TV in a week. What is the median of the daily sales?
1: At least 1 TV set was sold every day.
2: At most two TVs were sold every day.
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190310
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Is |x-y|>|x-z|?
1:|y|>|z|
2:x<0
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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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x,y are both positive integers.Is x < y?
1.$$\frac{x^2}{xy+x} < 1$$
2.$$\frac{x^2}{xy-x} < 1$$
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190310
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A student was asked to prepare 8L solution with a concentration of 40%. First, she mixed 2L solution with a concentration of 20%. Then she added p L solution with a concentration of 10% to the original solution. Finally, she added a q L solution with a concentration of 50% and she achieved her goal. What`s the value of q?
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190310
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There are ten balls in a jar, three red balls, five green balls, and two blue balls. If a student took a ball out of the jug and then put it back, and then took another ball out. What is the probability that she took out a red ball once and a green ball once?
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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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Eight apples and three peaches cost twice as much as three apples and four peaches. What is the ratio of the price of a peach to that of an apple?
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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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Which of the following options satisfy $$x^{-9}-x^{-8} >0$$?
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190310
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What is the unit digit number of ?
1: k can be divided by 10.
2: k can be divided by 4.
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190310
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Five numbers are chosen randomly from 1 to 20 (boundaries are included). What`s the probability that the five numbers include both 10 and 20?
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