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Ready4	<p> $S=\{2,4,a,b,12\}$ p> <p> $T=\{a,b,10\}$ p> <p>Two integers will be randomly selected, one from set $S$ and one from set $T$ . What is the probability that the sum of the two integers will be odd?p> <p>(1) $a=5$ p> <p>(2) $b$ is even.p>
Ready4	<p>For three positive integers a, b, and c, is a% of b less than b% of c?p> <p>(1) a = cp> <p>(2) c − b = b − ap>
Ready4	<p class="ng-scope">Colleen has three dogs. One year ago, Ruff weighed twice as much as Gracie and Gracie weighed 5 pounds less than Hugo. Today, all three dogs are exactly 3 pounds heavier than one year ago. Which of the following must be true today?p> <p class="ng-scope">I. Ruff weighs twice as much as Gracie.p> <p class="ng-scope">II. Hugo weighs more than Ruff.p> <p class="ng-scope">III. Hugo weighs more than Gracie.p>
Ready4	<p>If $l$ and $w$ represent the length and width, respectively, of a rectangle, then what is the perimeter?p> <p>p> <p>(1) $w + l = 85$ p> <p>(2) $2w + l = 110$ p>
Magoosh	P and Q are positive integers. Is P odd?Statement #1: （$$P^2$$）Q is oddStatement #2: P + Q is even
Ready4	<p>Is $\frac{6x}{13}$ an integer?p> <p>(1) $x$ is a prime numberp> <p>(2) $3x$ is divisible by $13$ p>
Ready4	<p>Is $z$ an integer?p> <p>(1) $-1 < z < 1$ p> <p>(2) $\|z\|=z^2$ p>
Ready4	<p>If $x$ is an integer, is $\frac{x^3}{8}$ a positive integer?p> <p>(1) $\frac{x^2}{8}$ is a positive integerp> <p>(2) $\frac{x}{8}$ is a positive integerp>
Ready4	<p>Is $w$ equal to the median of the three positive integers $w$ , $x$ , and $y$ ?p> <p>(1) $x=y$ p> <p>(2) $w=x+y$ p>
Magoosh	Point (P, Q) is in the coordinate plane. Is P > Q?Statement #1: (P, Q) is closer to the x-axis than to the y-axis. Statement #2: Point (P, Q) is above the line y = x + 1.
Ready4	<p class="ng-scope">What is the value of x + y² ?p> <p class="ng-scope">(1) x² − x − 2 = 0p> <p class="ng-scope">(2) y² + y − 2 = 0p>
Ready4	<p>Is $x$ less than 50?p> <p>(1) The sum of $x$ and $y$ is less than 50.p> <p>(2) $y$ is less than 50.p>
Ready4	<p class="ng-scope">In the triangle above, does $a^{2} + b^{2} = c^{2}$ ?p> <p class="ng-scope">(1) x + y = 90p> <p class="ng-scope">(2) x = yp>
190124	The positive integer p is less than 50. When p is divided by 7, the remainder is 1. p=? 1: When p is divided by 9, the remainder is 7. 2: When p is divided by 4, the remainder is 3.
Ready4	<p>John and Christian both invested money in a bank at 10% annual interest. By how much was Christian's initial investment greater than John's?p> <p>(1) After one year, Christian earned $50 more than John.p> <p>(2) If the bank had offered 12% interest, then after a year, Christian would have earned $60 more than John.p>
Ready4	<p>If a + 3\|b\| = 50, what are a and b?p> <p>(1) 3\|b\| = a - 20p> <p>(2) \|b\| $+ \frac{a}{3} = \frac{50}{3}$ p>
Ready4	<p>Does the integer $n$ have at least three different positive prime factors?p> <p>(1) $\frac{n}{8}$ is an integerp> <p>(2) $\frac{n}{6}$ is an integerp>
Ready4	<p>Does the positive integer $x$ have at least two different positive prime factors?p> <p>(1) $\frac{x}{4}$ is an integer.p> <p>(2) $\frac{x}{25}$ is an integer.p>
Ready4	<p>How many different prime numbers are factors of the positive integer $k$ ?p> <p>(1) Three different prime numbers are factors of $5k$ .p> <p>(2) Three different prime numbers are factors of $k^2$ .p>
Ready4	<p>How many different prime numbers are factors of the integer $n^2$ ?p> <p>(1) Two different prime numbers are factors of $n$ .p> <p>(2) Three different prime numbers are factors of $3n$ .p>