If and are constants, , and for all numbers , what is the value of ?

In the figure above, if , then

Forty percent of the animals adopted from a shelter are dogs, and 55 percent of those dogs are large dogs. If one animal adopted from the shelter is to be selected at random, what is the probability that the animal selected is a large dog?

If the numbers , , , , and were ordered from least to greatest, the middle number of the resulting sequence would be

According to the chart shown, which of the following is closest to the median sale price of homes in Pemberley neighborhood this past year?

If money is invested at percent interest, compounded annually, the amount of the investment will double in approximately years. If Jolene invested $10,000 in a long-term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 35 years later?

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 ?

If money is invested at percent interest, compounded annually, the amount of the investment will double in approximately years. If Deepee invested $4,000 in an account that pays 8 percent interest, compounded annually, approximately how many years will it take for the total value of the investment to double?

If money is invested at percent interest, compounded annually, the amount of the investment will double in approximately years. If $4,000 is invested in an account that pays 3 percent interest, compounded annually, approximately how many years will it take for the value of the investment to be $16,000?

If two positive integers and are not both even, then which of the following must be odd?

If the average (arithmetic mean) of four numbers is 150, how many of the numbers are equal to 150?

(1) None of the four numbers is less than 150.

(2) None of the four numbers is greater than 150.

If $u<v<w$ and$x<y<z$, is $v<y$?

1. $u<x$
2. $w<x$

A right triangle has two legs of equal length. What is the perimeter, in centimeters, of the triangle?

1. The area of the triangle is 4 square centimeters.
2. The hypotenuse of the triangle measures 4 cm.

In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

1. Of the 180 students, 36 do not study accounting.
2. A total of 144 students study accounting.

What is the tenths digit in the decimal representation of a certain number?

1. The number is less than $\frac{5}{8}$
2. The number is greater than $\frac{5}{9}$

In the xy-coordinate plane, is point Q equidistant from points (4, 4) and (-2, 4)?

1. The x-coordinate of point Q is 1.
2. Point Q lies on the line $y=4$.

What is the value of x in the triangle above?

1. $y+z=130$
2. $x+z=100$

In a group of 60 integers, how many are divisible (with a remainder of 0) by neither 7 nor 13?

1. Of the 60 numbers, 20 are divisible by 7 but not by 13.
2. Of the 60 numbers, 30 are divisible by both 7 and 13.

If p and q are positive integers, can the fraction $\frac{p}{q}$ be expressed as a decimal with only a finite number of nonzero digits?

1. q is a factor of 12.
2. p is a factor of 12.

An exam was taken by a group of undergraduate students and graduate students. If the average (arithmetic mean) score for the entire group was 90, was the average score of the undergraduates greater than 95?

1. The average score for the graduate students was less than 85.
2. The group consisted of more graduate students than undergraduate students.