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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: 42

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: 197

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 ...


A scanning code consists of a \(7\) times \(7\) grid of squares, with some of its squares colored black and the rest

A scanning code consists of a \(7\) times \(7\) grid of squares, with some of its squares colored black and the rest colored white. There must be at least one square of each color in this grid of \(49\) squares. A scanning code is called symmetric if its look does not change when the entire square i...


How long did it take Jason to drive non-stop at a constant rate on a trip from his home to Glendale?

How long did it take Jason to drive non-stop at a constant rate on a trip from his home to Glendale? 1) If Jason's average speed for the trip had been \(3/2\) times as fast, the trip would have taken \(2\) hours 2) Jason left his house at \(7\) a.m. and was \(1/4\) of the way to Glendale by \(7{:}45...


An employee identification code consists of a vowel followed by a\(3\)-digit number greater than \(200\). Exactly \(2\)

An employee identification code consists of a vowel followed by a \(3\)-digit number greater than \(200\). Exactly \(2\) of the \(3\) digits in the code should be identical. How many different codes is it possible to form?

A. \(211\)
B. \(216\)
C. \(1075\)
D. \(1080\)
E. \(2160\)

OA C