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A triple of positive integers is defined to be a Pythagorean triple if and only if the sum of squares of the two of them equals the square of the third. If triangle S has sides whose lengths form a Pythagorean triple and triangle R has sides whose lengths are integers, do the side lengths of triangle R form a Pythagorean triple?1. R has area which is a multiple of the area of S.2. R and S are similar triangles.
Magoosh A, B, R and S are four positive numbers. Does AS = BR? Statement #1: $$\sqrt{A^2+B^2}=\sqrt{R^2+S^2}$$Statement #2: In the x-y plane, the line through (A, B) and (R, S) goes through the origin
OG19-数学分册 How many integers n are there such that r < n < s? (1) $$s - r = 5$$ (2) rand s are not integers.
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If money is invested at percent interest, compounded annually, the amount of the investment will double in approximately years. If $6,000 is invested in an account that pays 9 percent interest, compounded annually, approximately how many years will it take for the value of the investment to be 4 times its initial value?
$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by $${D}({t})=10,000[1+(\frac r {100})]^{t}$$. What amount will the deposit grow to in 3 years?(1)$$D(1)=11,000$$(2)$$r =10$$
200301 s, r, t are integers，is t/(s^2) an integer?
(1). t/sr is an integer
(2). r/s is an integer
191031 If 6mn4 is a four-digit integer, then is m+n>10?
(1) 6mn4 can be divisible by 134
(2) 6mn4 = 134k+r, where 0≤r<134, and 47≤k≤52
If $$r = \frac{(x+y)}{2}$$ and $$s = \frac{(x-y)}{2}$$, what is the value of r + s?(1) y = 4(2) x = 6
OG12 OG15 GMAT、gmat题库、gmat模考、gmat考满分The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?(1)By the most direct route, the distance between S and T is twice the distance between S and R.(2)By the most direct route, the distance between T and U is 1.5 times the distance between R and T.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. What is r in terms of x and y ?
PREP07 Test 2 P, Q, and R are located in a flat region of a certain state. Q is x miles due east of P and y miles due north of R. Each pair of points is connected by a straight road. What is the number of hours needed to drive from Q to R and then from R to P at a constant rate of z miles per hour, in terms of x, y, and z ? (Assume x, y, and z are positive.)
PREP07 Test 1 What is the tens digit of the positive integer r?(1) The tens digit of r/10 is 3.(2) The hundreds digit of 10r is 6.
OG19 OG20 OG2022 Machine R and machine S work at their respective constant rates. How a much time does it take machine R, working alone, to complete a certain job? (1) The amount of time that it takes machine S, working alone, to complete the job is $${\frac{3}{4}}$$  the amount of time that it takes machin R, working alone, to complete the job (2)Machine R and machine S, working together, take 12 minutes to complete the job
300难题 The figure above shows 2 circles. The lager circle has center A, radius R cm, and is inscribed in a square. The smaller circle has center C, radius r cm, and is tangent to the larger circle at point B and to the square at points D and F. If points A, B,C,and E are collinear, which of the following is equal to $$\frac{R}{r}$$?
OG20 OG2022 If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x ? 1.Twice x is equal to the sum of p, r, and s. 2.The sum of p, r, and s is zero.
If x and y are positive integers and r is the remainder when $${3}^{4x+2}+{y}$$ is divided by 10, what is the value of r?(1) x = 25(2) y = 1
PREP07 Test 2 $$-2 < P \le -1$$$$-1 < Q \le 0$$$$0 < R \le 1$$$$1 < S \le 2$$For the inequalities above, what is the maximum possible value of P + Q + R + S ?
If p, r, s, and t are nonzero integers, is $$\frac{p}{r}=\frac{s}{t}$$? (1) s = 3p and t = 3r. (2) 3p = 2r and 3s = 2t.
190415 还原机经选题: 数论&amp;代数 s,r,t are integers. Is $$\frac{t}{s^{2}}$$ an integer? 1: $$\frac{t}{sr}$$ is an integer. 2: $$\frac{r}{s}$$ is an integer.
OG12 Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1)The average annual salary of the employees in Division R is $30,000.(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.