190215
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A plane is 6000m in height from the ground. The angle between the plane and the distant lighthouse with the horizontal plane is 30 °. The height of the lighthouse is ignored. How many kilometers is the distance from the plane to the lighthouse?
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190215
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g(2)=1,g(n+1)=g(n)+n.g(20)=?
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190215
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80% of people in school study physics or mathematics. What is the probability that at least one of the two randomly selected students will neither learn physics nor mathematics?
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190215
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The area of the semicircle in a door is 1/3 of that of the rectangle. What is the ratio of the height of rectangle to the length of semicircle?
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190215
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G(n)=G(n-1)+n,G(1)=1,G(20)=?
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190215
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A shop only sells fish and shrimp. The businessmen sold 80kg in total yesterday. The weight of the sold fish was three times that of the shrimp. What was the total sales of the sold fish yesterday?
1: The price of fish is $8.25/kg.
2: The price of shrimp is $10/kg.
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190215
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f(x)=7-x, (0 ≤ x ≤ 4),f(x)=$$\frac{1}{2}$$x-2(4 < x ≤ 6).Which one of the following options can be the possible value of f(x)?
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190215
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6,mn4 is a four-digit integer. Is m+n larger than 10?
1: 134 is a factor of 6,mn4.
2: 6,mn4=134p + r (47 ≤ p ≤ 52,0 ≤ r ≤ 134)
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190215
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A company has 5500 employees. These employees hold 10% of the shares. The total number of shares is $32.5 million. How much does each employee have in average because of the shares?
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190215
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A person invested in three projects A, B and C equally. After one year, A made 15% profit, B brought him 1% profit and C lost 10%. If this person only invested in project A, how many times is the supposed income compared to the actual income?
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190215
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The two sides of the square poster are parallel to the horizontal line. The side of the poster is 54 inches long. The part of the poster that is higher than one line which is 5 feet 9 inches from the ground accounts for 1/3 of the area of the square. What's the height from the bottom of the poster to the ground? (1 foot = 12 inches)
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190215
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An athlete's average running speed on Monday was 6 miles / h. Her average running speed on Thursday was 15 miles / h. She run 10 miles more on Thursday than on Monday. The time she spent on running was 16 min longer on Thursday than that on Monday. How much time did she spend running on Monday?
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190215
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$$\frac{10n}{7}$$=k+$$\frac{q}{7}$$,n,q are positive integers smaller than 7. What is the maximum value of k?
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190215
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1 < x < 1. Is y > $$x^{2}$$?
1:y > 0
2:y > x
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190215
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(n+1)(n+2)(n+3)(n+4)=?
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190215
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What is the value of |x| - $$\frac{1}{|x-1|}$$=
1:x < 0
2:|x| = -x
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190215
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xy is the square of an integer. Is x the square of an integer?
1: $$y^{\frac{1}{4}}$$ is an integer.
2: $$(xy)^{\frac{1}{4}}$$ is an integer.
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190215
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How many diagonals are there in a nonagon?
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190215
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Two numbers are chosen from the sequence {1,2,3,4,5}. What is the probability that the product of the two numbers is less than 4?
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190215
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There are 10 people in a project of a company, 5 of them are masters and the other 5 are apprentices. They are divided into five pairs which is composed of one master and one apprentice. How many combinations are there for the pairs?
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