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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: 93

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


The average of \(x, y,\) and \(z\) is \(40.\) What is \(x?\)

The average of \(x, y,\) and \(z\) is \(40.\) What is \(x?\)

1) \(y = 2z\)
2) \(y + z = 75\)

OA B

by AAPL

Tue May 07, 2024 4:34 pm
Forum: Data Sufficiency
Topic: The average of \(x, y,\) and \(z\) is \(40.\) What is \(x?\)
Replies: 0
Views: 46

The number line above represents which of the following inequalities?

line.jpg
The number line above represents which of the following inequalities?

A. \(x < 1\)
B. \(–6 < 2x < 2\)
C. \(–9 < 3x < 6\)
D. \(1 < 2x < 3\)
E. \(x > –3\)

OA B


If the sum of \(a, b,\) and \(c\) is less than five, is \(a\) less than one?

If the sum of \(a, b,\) and \(c\) is less than five, is \(a\) less than one?

1) \(b + c – 1 > 5\)

2) \(a < b + c – 1\)

OA A


If \(x\) is less than \(2,\) which of the following statements are always true?

If \(x\) is less than \(2,\) which of the following statements are always true? I. \(x\) is negative II. \(x\) is positive III. \(2x\) is greater than or equal to \(x\) IV. \(x^2\) is greater than or equal to \(x\) A. III only B. IV only C. I and III only D. I, III, and IV only E. none of the statem...


What is the measurement of one inner angle of the regular octagon?

What is the measurement of one inner angle of the regular octagon?

A. \(115^{\circ}\)
B. \(120^{\circ}\)
C. \(125^{\circ}\)
D. \(130^{\circ}\)
E. \(135^{\circ}\)

OA E

by AAPL

Wed Apr 24, 2024 4:04 pm
Forum: Problem Solving
Topic: What is the measurement of one inner angle of the regular octagon?
Replies: 0
Views: 235

A bowl of fruit contains only apples, oranges, and pears. If a piece of fruit is randomly selected from the bowl, what

A bowl of fruit contains only apples, oranges, and pears. If a piece of fruit is randomly selected from the bowl, what is the probability that the piece of fruit is an apple?

1. Half of the fruit in the bowl is oranges
2. The probability of selecting a pear is 30 percent

OA C


The marks scored by \(50\) students of a class are \(m_1, m_2, m_3, \ldots, m_{50}\), where \(m_1<m_2<\ldots<m{50}\).

The marks scored by \(50\) students of a class are \(m_1, m_2, m_3, \ldots, m_{50}\), where \(m_1<m_2<\ldots<m_{50}\). Student \(1\) scored \(40\) and student \(50\) scored \(90\). What is the average score of the class? 1. No two students scored the same marks and \(m_{25}=62\) 2. The marks of the ...