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Ready4	<p>A restaurant delivered a total of 55 pizzas to six different customers one night, and no two customers had the same number of pizzas delivered. Of the six customers, if Customer A had the second greatest number of pizzas delivered, did Customer A have fewer than 9 pizzas delivered?p> <p>(1) One of the six customers had 20 pizzas delivered.p> <p>(2) Customer A had more than 5 pizzas delivered.p>
Ready4	<p>Antonia made tomato sauce and put it in small and large jars. Each small jar holds 3 cups of sauce. Each large jar holds 4 cups of sauce. She made a total of 15 jars of sauce. How many large jars of sauce did Antonia make?p> <p>(1) Antonia made more small jars of sauce than large jars.p> <p>(2) Antonia put a total of 51 cups of sauce into jars.p>
Ready4	<p>Bill went shopping for fruits and vegetables. He purchased a number of potatoes, onions, and lemons in a ratio of $1:3:5$ , respectively. How many potatoes did Bill buy?p> <p>(1) Bill bought a total of $27$ potatoes, onions, and lemons.p> <p>(2) Bill bought $9$ onions.p>
Ready4	<p>In the $xy$ -plane, lines k and l intersect at the point (1,1). Is the $y$ -intercept of k greater than the $y$ -intercept of l?p> <p>(1) The slope of k is less than the slope of l.p> <p>(2) The slope of l is positive.p>
Magoosh	Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)?Statement #1: Q = 2Statement #2:$$P^2$$ + 4PQ + $$4Q^2$$ = 28
Magoosh	P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 3), the remainder is also D. If $$\frac{P}{Q}$$ = 1020.75 and$$\frac{ P}{(Q + 3)}$$ = 816.6, then which of the following gives the correct set of {D, Q}?
Ready4	<p>The price of a pair of earrings is $x$ percent more than the price of a bracelet, and the price of a necklace is $y$ percent less than the price of the earrings. Is the price of the bracelet less than the price of the necklace?p> <p>p> <p>(1) $\frac{xy}{100} < x-y$ p> <p>(2) $x-y > 0$ p>
Ready4	<p>If x = $100^{\frac{b}{a}}$ , and a ≠ 0, is x an integer?p> <p>(1) $\frac{b^{6}}{a^{6}}$ is an integerp> <p>(2) a − 2b = 0p>
Ready4	<p>If $a$ and $b$ are both positive integers, then is $\frac{10a+b}{5}$ also an integer?p> <p>(1) $a$ is divisible by 5p> <p>(2) $b$ is divisible by 5p>
Ready4	<p>A machine makes widgets and gizmos. If it takes 6 minutes to make each widget and 10 minutes to make each gizmo, what is the total number of minutes it takes to make a batch of widgets and gizmos?p> <p>(1) A batch has 50 more widgets than gizmos.p> <p>(2) The ratio of the number of widgets to the number of gizmos in a batch is 3 to 1.p>
Ready4	<p>If $a$ and $b$ are positive integers, what is the remainder when $4^{(a+1+2b)}$ is divided by 10?p> <p>(1) $a$ is oddp> <p>(2) $b=3$ p>
Ready4	<p>Is $w$ between $-4$ and $0$ on the number line?p> <p>(1) $w$ is to the left of $1$ on the number line.p> <p>(2) $w$ is negative.p>
Ready4	<p>If $2$ different houses are to be selected at random from a group of $12$ houses on a street and if $<font color='#FE8080'>p</font>$ is the probability that both houses selected will have even address numbers, is $<font color='#FE8080'>p</font> < \frac{1}{2}$ ?p> <p>(1) More than $\frac{1}{2}$ of the $12$ houses have even numbers.p> <p>(2) The probability that both houses selected will have odd numbers is less than $\frac{1}{4}$ .p>
OG16 OG17 OG18 OG19 OG20 OG2022	Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
Magoosh	Suppose A and B are two events, not independent. Is the probability P(A and B) > $$\frac{1}{3}$$?Statement #1: P(A) = 0.8 and P(B) = 0.7Statement #2: P(A or B) = 0.9
Ready4	<p>Each of three plants, $P_{1}$ , $P_{2}$ , and $P_{3}$ , photosynthesizes glucose at a constant, characteristic rate measured in molecules per minute. If $p_{1}$ is the ratio of $P_{1}$ 's rate to $P_{2}$ 's rate and $p_{2}$ is the ratio of $P_{2}$ 's rate to $P_{3}$ 's rate, is $P_{3}$ 's rate the greatest of the three?p> $p_{1} < p_{2}$ $p_{2} < 1$
Ready4	<p>Enough small and large pizzas are ordered for $30$ party guests that are expected to eat $3$ slices each. Each small pizza has $6$ slices and each large pizza has $8$ slices. How many small pizzas are ordered?p> <p>p> <p>(1) Fewer than $5$ small pizzas are ordered.p> <p>(2) More than $5$ large pizzas are ordered.p>
Ready4	<p class="ng-scope">A set of numbers has the property that for any number $x$ in the set, $x+3$ is also in the set. If $-3$ is in the set, which of the following must also be in the set?p> <p class="ng-scope">I. $-6$ p> <p class="ng-scope">II. $0$ p> <p class="ng-scope">III. $6$ p>
Ready4	<p>If two different students are to be selected at random from a group of $10$ male and female students, and if $<font color='#FE8080'>p</font>$ is the probability that one male and one female student will be selected, is $<font color='#FE8080'>p</font>>\frac{1}{3}$ ?p> <p>(1) More than $\frac{1}{2}$ of the $10$ students are female.p> <p>(2) The probability that both students selected will be female is greater than $\frac{1}{3}$ and less than $\frac{1}{2}$ .p>
Ready4	<p>p><p>On the number line above, is the product of $a$ , $b$ , $c$ , and $d$ positive?p> <p>p> <p>(1) $b$ is negative.p> <p>(2) $c$ is positive.p>