|
|
If$$q=43+（{p-7}）^{2}$$ , then q is lowest when p = ？
|
|
|
For any numbers x and y, x◇y = 2x - y - xy. If x◇y = 0, then which of the following CANNOT be y?
|
|
|
Each of the numbers a, b, c, d is equal to -1, 0, or 1. What is the value of a + b + c + d?1. $$\frac{a}{2}+\frac{b}{4}+\frac{c}{8}\frac{d}{16}=\frac{1}{8}$$2. $$\frac{a}{4}+\frac{b}{16}+\frac{c}{64}+\frac{d}{256}=\frac{11}{64}$$
|
|
|
The number of students enrolled at school X this year is 7 percent more than it was last year. The number of students enrolled at school Y this year is 3 percent more than it was last year. If school X grew by 40 more students than school Y did, and if there were 4000 total enrolled students last year at both schools, how many students were enrolled at school Y last year?
|
|
|
If the average (arithmetic mean) of six different numbers is 25, how many of the numbers are greater than 25?1. None of the six numbers is greater than 50.2. Three of the six numbers are 7, 8, and 9, respectively.
|
|
|
If p, q, x, and y are positive integers, is $${q^{y}}\over{p^{x}}$$ an integer?1. q is evenly divisible by p.2. $$y\ge{qx}$$
|
|
|
The velocity, density, and pressure of a certain fluid are related by the equation $$5v^{2}+p=c$$, where v is the velocity in meters per second, P is the pressure in pascals, and c is a constant. If the velocity of this fluid decreases from 10 meters per second to 5 meters per second, by how many pascals does the pressure in the fluid rise?
|
|
|
What is the remainder, after division by 100, of $$7^{10}$$?
|
|
|
Xander, Yolanda, and Zelda each have at least one hat. Zelda has more hats than Yolanda, who has more than Xander. Together, the total number of hats the three people have is 12. How many hats does Yolanda have?(1) Zelda has no more than 5 hats more than Xander.(2) The product of the numbers of hats that Xander, Yolanda, and Zelda have is less than 36.
|
|
|
$$x^{6}-y^{6}$$=
|
|
|
How many different sets of positive square integers, each greater than 1, add up to 75?
|
|
|
An integer between 1 and 300, inclusive, is chosen at random. What is the probability that the integer so chosen equals an integer raised to an exponent that is an integer greater than 1?
|
|
|
How many factors does x have, if x is a positive integer?(1) $$x=p^{n}$$, where p is a prime number.(2) $$n^{2}=n+n$$, where x is a positive integer.
|
|
|
If$$2^{x}+2^{y}=x^{2}+y^{2}$$ , where x and y are nonnegative integers, what is the greatest possible value of |x-y|?
|
|
|
Several friends in a dinner group decide to contribute equally to the purchase of a $36 gift. How many people are in the group?(1) The number of people in the group is equal to the size of each person's contribution, in dollars.(2) If three more people joined the group, each person's individual contribution would fall by $2.
|
|
|
The consumer price index in Zeropia in 2009 relative to the year 2000 was 1.75, meaning that for every Zeropian dollar spent on consumer goods in 2000, $1.75 on average had to be spent in 2009. In Zeropian dollars, what was the increase in the price of Brand Z running shoes from 2000 to 2009, if these shoes' price increased precisely according to the consumer price index?(1) The price of Brand Z running shoes was $91 in 2009.(2) The ratio of the dollar increase in the price of Brand Z running shoes to the price of the shoes in 2009 was 3:7.
|
|
|
To reduce its stock of disposable contact lenses, a pharmacy sells 7 boxes for the price of 4. Given that a customer buys 7 boxes, approximately, what is the amount that she saves as a percent of what she would have spent?
|
|
|
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.
|
|
|
If the ratio of job applicants with a doctorate degree to job applicants with an MBA degree for positions at Company G in 1999 was $$\frac{1}{5}$$ what was the ratio of applicants with a doctorate to applicants with an MBA for positions at company G in 2003?1. Company G received 20,000 more MBA applicants in 2003 than in 1999.2. Company G received 2,000 more Ph.D. applicants in 2003 than in 1999.
|
|
|
Because of economies of scale, the cost of production of the second gadget is half the first one which costs c dollars to produce. The production of the third gadget costs half of the second, etc. What is the value of c?1. The sum of the costs of the third and fourth gadgets is $9.2. The sum of the costs of the second and the ninth gadget is $${24}\cdot\frac{2^7+1}{2^8}$$ dollars.
|