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A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?
191031
A square is inscribed with two same circles whose radii are all r. If r=$$\sqrt{2}$$, what is the length of the diagonal of this square?
PREP07 Test 1 A company has two types of machines, type R and type S. Operating at a constant rate,a machine of type R does a certain job in 36 hours and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Ready4

If r, s, and t are consecutive even integers and r<s<t, which of the following must be true?

  1. t−r=4
  2. ( s−r )t is an even integer.
  3. r+s+t 3 is an even integer.
Ready4

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.
Ready4

If money is invested at percent interest, compounded annually, the amount of the investment will double in approximately years. If, when he was born, Keo's parents invested $3,000 in a long-term bond that pays percent interest, compounded annually, what will be the approximate total amount of the investment when Keo turns ?
OG12 OG15 OG16 OG17 GMAT、gmat题库、gmat模考、gmat考满分In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R ?
In the xy-plane, if line k has negative slope and passes through the point (-5,r), is the x-intercept of line k positive?(1) The slope of line k is -5.(2) r>0
PREP07 Test 2 If n is a positive integer and r is the remainder when $$n^2 - 1$$ is divided by 8, what is the value of r ?(1) n is odd.(2) n is not divisible by 8.
Magoosh Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana?Statement #1: B > AStatement #2: R > S
Ready4

In the xy-plane, region R consists of all the points (x,y) such that 5x+6y≤30. Is the point (r,s) in region R?

  1. 6r+5s=30
  2. r≤6 and s≤5.
190215 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)
If r,s, and t are integers, is rs + t divisible by 2?1. r is divisible by 3, and s is even.2. t is divisible by 3.
Magoosh In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
Ready4

If lines and are parallel to each other, is the slope of line negative?

(1) line passes through the point

(2) line passes through the point

PREP07 Test 2 If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?(1) q > 10(2) $${q}={2}^{k}$$, where k is a positive integer.
190302 r,s,t are three real numbers. Will the average and median of the three numbers be equal? 1: The average of the three numbers is s. 2: r < s < t
Ice hockey teams R and U played against each other in the final games of numerous championships. Which of the teams won more than $$\frac{1}{2}$$ of these games?1. The total number of games teams R and U played against each other in finals is 30.2. Team R scored 128 goals in these matches, and Team U scored 203 goals in these matches.
PREP07 Test 1 If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
Ready4 If money is invested at <font color='#FE8080'>r</font> percent interest compounded annually, the amount of the investment will double in approximately \tfrac{70}{<font color='#FE8080'>r</font>} years. If $5,000 is invested in an account that pays 7 percent interest compounded annually, approximately how many years will it take for the value of the investment to be $80,000?