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Both a,b are positive integers. $$\sqrt{a+b}$$=?
1:$$(a+b)^{2}$$=40
2:$$\sqrt{a}$$+$$\sqrt{b}$$=6
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CE=6, AB//CD. EF=?
1:AC:CE=1:2
2:CD//EF
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There are five students and five chairs in a row in the classroom. Jason and Kate are required to sit in the middle chair. How many different arrangements are there?
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∠ADB=90°, AD is radius, AD = 5cm. What is the area of the shadow?
1:∠BAC=15°
2:∠CAD=30°
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$$r_{n+1}$$ - $$r_n$$=$$\frac{(-1)^{n}}{2^{n}}$$, what is the relationship of $$r_1$$,$$r_2$$,$$r_3$$?
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The sum of three positive integers is even. Is the product of these three numbers a multiple of 4?
1: The three numbers are equal.
2: The three numbers are even.
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A retail store bought 120 items and the unit price was x. The first 100 items were sold at the price of y, and the selling price of the last 20 items was 20% more than the cost of each item. What's the profit from selling these 120 goods?
1: The selling price of the first 100 pieces was 30% more than the cost of each item.
2: The selling price of the first 100 pieces was 20 dollars more than that of the last 20 pieces.
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What is the number of zeros after the last nonzero number of ($$10^{m}$$+$$10^{5}$$)* ($$10^{n}$$+$$10^{6}$$)=?
1: m ≥ 5
2: n ≥ 6
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Is $$\frac{xy^{2}}{z^{3}}>1$$?
1:x < z < y
2:x > 0
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AB=3, BC=4. AD=DE, ∠ADB=∠ABC=90°,CE=?
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A six-digit password is composed of one a, two bs, and three cs. How many different passwords can be created?
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There are two kinds of books on the shelf, English and mathematics. What is the probability that at least one book is an English book when two books are selected from the shelf randomly?
1: The ratio of the number of English books to that of math books is 1:3.
2: The number of all of the books is less than 20.
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There are n books on the shelf. n=?
1: There are 240 ways to arrange the books when two math books are adjacent.
2: There are 15 ways to select two books from all of the books in the shelf.
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x,y,z are three prime numbers. Is xyz < 700?
1: x,y,z are no more than 14.
2: x,y,z are the factors of 70.
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In a certain loan project, the amount of money you can get is equal to the total amount of loan minus the product of the single interest of a year and the total amount of loan. If someone borrows $25000 for half a year and gets $24625, how much is the annual simple interest?
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There are 64 unit cubes in total. Only one side of each cube is painted. These unit cubes will be put together into a big cube. What's the maximum proportion of painted sides on the surface of the big cube?
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Is |x|=y-1?
条件1:x+y=1
条件2:x < 0
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a < b. Is a < 0?
条件1:$$a^{2}$$>ab
条件2:b < 0
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$$\frac{(n+1)!}{(n+1)!+(n+2)!}$$=?
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The side length of diamond ABCD is 130. BD=100. What is the area of the shaded part?
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