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The repeating decimal $$1.\overline{ab}$$, where a and b are different digits, is equivalent to the fraction $$\frac{n}{d}$$, where n and d are positive integers whose greatest common factor is 1. What is the greatest possible value of n+d ?


The two triangles above are equilateral and PQ=15.

Quantity A

The sum of the perimeters of the two triangles

Quantity B

42




The product of three consecutive integers r, s, and t is 0, where r < s < t.

Quantity A

r

Quantity B

-1




Jerry ate $$\frac{1}{5}$$ of the cookies in a full jar of cookies, and Cantin ate $$\frac{1}{6}$$ of the remaining cookies in the jar.

Quantity A

The fraction of the cookies in the full jar that were not eaten by either Jerry or Cantin

Quantity B

$$\frac{19}{30}$$






Lines I and m are parallel and tangent to the circle. A rectangle (not shown) is inscribed in the circle.

Quantity A

The length of a diagonal of the rectangle

Quantity B

The distance between lines I and m




a < 0 < b < c

Quantity A

$$\frac{ac}{b}$$

Quantity B

ac




Quantity A

The greatest integer less than 100 that is the product of 3 different prime numbers

Quantity B

(2)(3)(13)




Michael opened two new savings accounts, S and T, at the beginning of a certain year and deposited a total of $5,000 in the two accounts. Account S earned simple annual interest at the rate of 4 percent, account T earned simple annual interest at the rate of 5 percent, and there were no other transactions in the two accounts that year. If the total amount of interest earned by the two accounts at the end of the year was $226, what was the amount that Michael deposited in account S?
An office building has 6 floors. If there are n offices on the top floor and each floor has 3 more offices than the floor just above it, how many offices are in the building?
What is the value of ($$2^{236}$$)($$4^{-120}$$)?

Give your answer as a fraction.
Over the period shown, which first-class postal rate was in effect for the longest period of time?
The ratio of the first-class postal rate in effect in June 1989 to the first-class postal rate in effect in June 1979 is
The greatest percent increase in the first-class postal rate over the previous rate listed occurred in


The table above shows the number of points scored by a team in each of 48 games. What is the 3rd quartile of the distribution of the data?
Which of the following is an equation of a line in the xy-plane that has a slope of 2 and that intersects the x-axis at x=3?


The table above shows the annual revenues of a company for seven years. Based on the information given. which of the following statements are true for the seven years?

Indicate all such statements.
When positive integers $$k$$ and $$n$$ are each divided by $$9$$, the remainders are $$2$$ and $$5$$, respectively. If $$k \gt n$$, what is the remainder when $$k-n$$ is divided by $$9$$?

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