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In the \(xy\)-plane, the coordinates of two vertexes of a parallelogram are \((3,8)\) and \((3,12).\) What are the

In the \(xy\)-plane, the coordinates of two vertexes of a parallelogram are \((3,8)\) and \((3,12).\) What are the coordinates of the fourth vertex?

1. The coordinates of the third vertex are \((6,9)\)

2. The coordinates of the fourth vertex are positive

OA E


In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates \((0, 3.5),\)

In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates \((0, 3.5), (8, 0), (0, -3.5), (-8, 0)?\)

A. \(56\)
B. \(88\)
C. \(112\)
D. \(116\)
E. \(120\)

OA A


The total number of active members in a college fraternity is \(25/2\) percent higher this year than last year. How many

The total number of active members in a college fraternity is \(25/2\) percent higher this year than last year. How many active members does the fraternity have this year? 1) Last year, \(23\) members of the fraternity graduated. 2) Last year, there were \(56\) active members in the fraternity. OA B


In a drawer of shirts, \(8\) are blue, \(6\) are green, and \(4\) are magenta. If Mason draws \(2\) shirts at random

In a drawer of shirts, \(8\) are blue, \(6\) are green, and \(4\) are magenta. If Mason draws \(2\) shirts at random, what is the probability that at least one of the shirts he draws will be blue?

A. \(25/153\)
B. \(28/153\)
C. \(5/17\)
D. \(4/9\)
E. \(12/17\)

OA E


A man sold only red and blue balloons on only small and large sizes. If he sold a total of \(108\) balloons, how many

A man sold only red and blue balloons on only small and large sizes. If he sold a total of \(108\) balloons, how many were small red balloons?

1. He sold \(35\) large balloons
2. He sold \(25\) small blue balloons

OA C


A carnival card game gives the contestant a one in three probability of successfully choosing the right card and

A carnival card game gives the contestant a one in three probability of successfully choosing the right card and thereby winning the game. If a contestant plays the game repeatedly, what is the minimum number of times that he must play the game so that the probability that he never loses is less tha...


If \(m\) and \(n\) are positive integers, what is the remainder when \(m^2 - n^2\) is divided by \(10?\)

If \(m\) and \(n\) are positive integers, what is the remainder when \(m^2 - n^2\) is divided by \(10?\)

1) The remainder when m is divided by \(10\) is \(3\)
2) The remainder when n is divided by \(10\) is \(3\)

OA C


People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, follow

People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a blue shirt. If there are more than \(4\) people in line, which of the foll...


A lottery winner from State \(F\) must match, in any order, \(6\) balls randomly chosen from a single pool of balls

A lottery winner from State \(F\) must match, in any order, \(6\) balls randomly chosen from a single pool of balls numbered from \(1\) to \(50.\) A lottery winner from State \(G\) must match, in any order, \(5\) balls randomly chosen from a first pool of balls numbered from \(1\) to \(50\) AND a “m...


Each dinner at Restaurant \(X\) includes a pair of side dishes, which a customer chooses by selecting any one side

Each dinner at Restaurant \(X\) includes a pair of side dishes, which a customer chooses by selecting any one side dish from list \(A\) and any one side dish from list \(B.\) There are a total of \(18\) possible pairs of side dishes, and no side dish appears on both lists. If there are fewer side di...


A certain restaurant offers \(8\) different salads, \(5\) different main courses, \(6\) different desserts. If customers

A certain restaurant offers \(8\) different salads, \(5\) different main courses, \(6\) different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?

A. \(120\)
B. \(240\)
C. \(480\)
D. \(600\)
E. \(1200\)

OA D


A certain box has \(10\) cards written integers from \(1\) to \(10\) inclusive and the numbers written are different.

A certain box has \(10\) cards written integers from \(1\) to \(10\) inclusive and the numbers written are different. If \(2\) different cards are selected at random, what is the probability that the sum of numbers written on the \(2\) cards selected is less than the average (arithmetic mean) of tot...


At Company \(K,\) how many people make up the sales force?

At Company \(K,\) how many people make up the sales force?

1) If \(3\) members of the sales force were to retire, the sales force would be reduced by \(5\) percent

2) If \(12\) people were added to the sales force, the sales force would be increased by \(20\) percent

OA D

by AAPL

Tue May 07, 2024 4:52 pm
Forum: Data Sufficiency
Topic: At Company \(K,\) how many people make up the sales force?
Replies: 0
Views: 1080

Which of the following equations is not equivalent to \(36y^2+9=x^2?\)

Which of the following equations is not equivalent to \(36y^2+9=x^2?\)

A. \(36y^2=x^2-9\)

B. \(36y^2=(x-3)(x+3)\)

C. \(108y^2+27=3x^2\)

D. \(y^2=\dfrac{x^2-9}{36}\)

E. \(6y=x-3\)

OA E