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When the price of the commodity is $44, the profit is 10% of the cost. When the price of the commodity is $46, how many times is the profit as many as the cost?
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The set S is made up of continuous positive integers. Is the number of integers in S greater than 6?
1: There are two numbers in S that are multiples of 5.
2: There are two numbers in S that are multiples of 3.
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The slopes of lines $$l_1$$ and $$l_2$$ are larger than 0. The y-intersection of both lines are larger than 0. Is the x-intersection of $$l_1$$ larger than that of $$l_2$$?
1: The y-intersection of $$l_1$$ is larger than that of $$l_2$$.
2: The slope of $$l_1$$ is smaller than that of $$l_2$$.
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p=10k+1. k is a positive integer. What`s the unit digit of $$(p^2)^100$$?
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Is $$(x-y)(x+3)(x-3) \geq 0$$?
1:x>y
2:x>3
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There are 20 balls in an opaque box. The color of the ball may be red, green, white, or yellow. There are five green balls in the box. The probability of picking a green ball or a yellow ball from the box is no more than 3/5. How many yellow balls are there at most?
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x is a three-digit number. The tens digit of x is twice the unit digit, and the hundreds digit is three times the sum of the rest of the digits. x =?
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x@y=$$x^2y+xy^2-xy$$.(5@3)+(3@5)=?
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$$y=a(x-h)^2-k.$$a=?
1: The functional image goes through (-3,0) and (1,0).
2: The functional image goes through (-1,4) and $$y \leq 4$$.
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x> 0, y < 0, z< 0.$$(|x|+|y|+|z|)^2$$=?
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How many of the 500 numbers from 1 to 500 have a remainder of 1 when divided by 7, and a remainder of 2 when divided by 3?
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Is n an even number?
1: The least common multiple of n and 300 is 900.
2: The greatest common divisor of n and 300 is 150.
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There are nine square plates in the cupboard. Each plate has front and back sides. The sides of the plates are 3,1,1,1,4,1,1,1,3. What is the total area of the plates?
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How much water should be added into the 20m^3 alcohol solution whose concentration is 80% to get the alcohol solution whose concentration is 50%?
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In the cuboid ABCD-EFGH, AB=13, AD=12, AE=10. AG=?
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The line whose algebraic expression is f(x)=kx+b goes through the point (0,1). f(1)=?
1: f(3)-f(2)=8
2: f(7)=57
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$$y = 10^n +5^(x+2n)$$. n and x are positive integers. What`s the reminder of y when divided by 6?
1: x=3
2: n=4
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Is 3n(n+1) an even number?
1: n is even.
2: $$n^2-1$$ is even.
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$$\frac{0.02^3}{0.002^2}$$=?
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What`s the greatest prime factor of $$5^{500}+5^{501}+5^{502}$$?
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