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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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Each bit of a five-digit password may consist of 0-9, a-z, A-Z. What`s the number of different passwords totally?
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In the parallelogram ABCD, AB = 8. What is the area of this parallelogram?
1:∠DAB=150°
2:BC=12
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Students A and B skate together. Student A circles with a radius of 10 feet. B circles with a radius of 5 feet. When both A and B finish skating around their respective circles, how much more distance does A skate than B?
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Is the integer X a factor of 24?
1: X is a factor of 12.
2: X is a factor of 18.
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In the xy coordinate system, what is the coordinate of the point that is symmetric with respect to the line y=x relative to point P(-1, -2)?
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A person invested x dollars in a project with an annual simple interest of y%. z% of the profit related to one year had to be used for tax payment. How much was the tax he payed?
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x,y,z are three consecutive odd integers. x < y < z. What`s the values of x,y,z, respectively?
1: 2y = x+z
2: x,y,z are prime numbers.
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Express the following sentence with algebraic expression: decrease the product of number x and 3 by 2, then increase the result by 120 percent of y
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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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AB//CD, AB=BC=6, ∠CBA=60°, ∠CDA=45°. CD=?
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Oil were poured into 96 cups. There were 8 ounces in each cup. How many cups are needed if the amount of oil in each cup is reduced by $$\frac{1}{3}$$?
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There are 20 cars in a taxi company. The number of blue cars is larger than 10. The rest are red and green cars. How many are there in green?
1: The number of green cars is five times that of red cars.
2: There are 6 green cars and red cars in total.
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M, N < 56, M=8+N. M,N are positive integers. How many possibilities are there in (M,N)?
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There are three red balls and six white balls in the box A. There are 4 red balls and 7 white balls in the box B. A ball was taken out from box A randomly and put into box B. What's the probability of taking out a red ball from box B?
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The triangle ABC is inscribed on the circle O. The radius of the circle is 1. Center O is on line AC. AB = BC. What is the area of triangle ABC?
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The big circle is concentric with the small circle whose radius is r. An equilateral triangle is inscribed on the big circle and circumscribed on the small circle. What is the area of the shadow?
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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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r,s are non-zero integers. Is r/s a terminating decimal?
1: 1/r is a terminating decimal.
2: 1/s is a terminating decimal.
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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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