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Ready4	<p>If $k=5p$ , where $<font color='#FE8080'>p</font>$ is a prime number greater than $2$ , how many different positive even divisors does $k$ have, including $k$ ?p>
Ready4	<p>During a particular trip, how much time had elapsed once 90% of the total distance of the trip had been traveled? p><p> The total distance of the trip was 40 miles and the total time elapsed was exactly 4 hours. The average speed of the trip was exactly 10 miles per hour. p>
OG12	If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x =$${2}^{i}{3}^{k}{5}^{m}{7}^{p}$$, then i + k + m + p =
Ready4	<p>Three copiers $X$ , $Y$ , and $Z$ , working simultaneously and independently at their respective constant rates, can copy a certain document in 6 minutes. How long does it take Copier $Z$ , working alone at its constant rate, to copy the document?p> <p>p> <p>(1) Copiers $X$ and $Y$ , working simultaneously and independently at their respective constant rates, can copy the document in 12 minutes.p> <p>(2) Copiers $X$ and $Z$ , working simultaneously and independently at their respective constant rates, can copy the document in 9 minutes.p>
Ready4	<p>Three carpenters $H$ , $J$ , and $K$ working simultaneously and independently at their respective constant rates, can build a shed in 8 hours. How long does it take Carpenter $H$ , working alone at a constant rate, to build the shed?p> <p>p> <p>(1) Carpenters $H$ and $J$ , working simultaneously and independently at their respective constant rates, can build the shed in 12 hours.p> <p>(2) Carpenters $J$ and $K$ , working simultaneously and independently at their respective constant rates, can build the shed in 16 hours.p>
Ready4	<p style="text-align: center;">p><p>The rectangular picture shown in the figure above has a frame of uniform width. What is the area of the portion of the picture that excludes the frame?p> <p>(1) The perimeter of the framed picture is 56 inches.p> <p>(2) The width of the frame on all sides is 2 inches.p>
Ready4	<p>Rectangle $A$ has a diagonal of 10 feet, and rectangle $B$ has a diagonal of 20 feet. What is the ratio of the area of $A$ to the area of $B$ ?p> <p>(1) The ratio of length to width for each rectangle is the same.p> <p>(2) The width of rectangle $B$ is 100% longer than the width of rectangle $A$ .p>
Ready4	<p class="ng-scope">Of the people at a certain movie, each person either likes or dislikes horror movies and each person either likes or dislikes romance movies. Of these people, $\tfrac{4}{5}$ dislike horror movies; and of those who dislike horror movies, $\frac{3}{4}$ also dislike romance movies. How many of the people like romance movies but dislike horror movies?p> <p class="ng-scope">(1) 150 people were at the movie.p> <p class="ng-scope">(2) 30 of the people like horror movies.p>
Ready4	<p>In the $xy$ -plane, point $(r, s)$ lies on a circle with center at the origin. What is the value of $r^{2} + s^{2}$ ?p> <p>(1) The circle has radius 2.p> <p>(2) The point $(\sqrt{2}, -\sqrt{2})$ lies on the circle.p>
300难题	Let S be a set of outcomes and let A and B be events with outcomes in S. Let 〜B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ? 1.P(AU B) = 0.7 2.P(AU 〜B) = 0.9
PREP07 Test 2	If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of $$p^2t$$ ?(1) m has more than 9 positive factors.(2) m is a multiple of $$p^3$$.
Ready4	<p>A line contains three distinct points: $x$ , $y$ , and $z$ . Is the length of segment $xy$ less than $50$ ?p> <p>(1) $xy + yz = 50$ p> <p>(2) $xy + xz > 50$ p>
Ready4	<p>Set $E$ contains five distinct positive integers $\{ x, 4, 2, 6, y\}$ . Is the mean of set $E$ greater than its median?p> <p>(1) The largest integer in set $E$ is $6$ p> <p>(2) The smallest integer in set $E$ is $2$ p>
	Does the integer k have a factor p such that 1 < p < k?(1)k>4!(2)$$13! + 2 \le k \le 13! + 13$$
Ready4	<p>If q is a positive two-digit integer and p is the units digit of q, is $10 < q < 50$ ?p> p is 5 more than the tens digit of q. $4 p - 1 = q$
	If S is the infinite sequence $${S}_{1}={9}$$, $${S}_{2}={99}$$, $${s}_{3}={999}$$ . . ., $${S}_{k}={10}^{k}-{1}$$, . . ., is every term in S divisble by the prime number p ?(1)p is greater than 2.(2)At least one term in sequence S is divisble by p.
Ready4	<p>Pat invested $4,000 at a percent simple annual interest and a different amount at p percent simple annual interest for the same period of time. What amount did Pat invest at p percent simple annual interest?p> The total amount of interest earned by Pat's investments in one year was $400. Pat invested the $4,000 at 4 percent simple annual interest.
Ready4	<p class="ng-scope">According to the passage, which of the following statements regarding multinational soft drink companies potential influence on addressing water shortage is true?p>
	If $${N}=\frac{S}{1-pq}$$ and N,S,p, and q are positive numbers, then in terms of N,S, and q what does p equal?
Ready4	<p>Pat bought a new car for P dollars and sold it later for M dollars. The difference between the two sale prices was what percent of the initial price?p> $M - P = 10, 000$ $\frac{P}{M} = \frac{3}{2}$