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If the average (arithmetic mean) of \(a, b, c\) is \(5,\) the average (arithmetic mean) of \(c, d, e\) is \(8,\) and the

If the average (arithmetic mean) of \(a, b, c\) is \(5,\) the average (arithmetic mean) of \(c, d, e\) is \(8,\) and the average (arithmetic mean) of \(a, b, c, d, e\) is \(7,\) what is the value of \(c?\)

A. \(2\)
B. \(3\)
C. \(4\)
D. \(5\)
E. \(6\)

OA C


As part of a certain game in which a computer generated a random number several times, \(6\) more numbers greater than

As part of a certain game in which a computer generated a random number several times, \(6\) more numbers greater than \(0\) resulted than numbers less than \(0.\) \(0\) never resulted. How many times was the result greater than zero? 1. \(2\) more numbers greater than \(1\) resulted than numbers le...


In the figure above, the measure of angle \(EAB\) in triangle \(ABE\) is \(90\) degrees, and \(BCDE\) is a square. What

ZZ1.jpg In the figure above, the measure of angle \(EAB\) in triangle \(ABE\) is \(90\) degrees, and \(BCDE\) is a square. What is the length of \(AB?\) 1) The length of \(AE\) is \(12,\) and the ratio of the area of triangle \(ABE\) to the area of square \(BCDE\) is \(\dfrac{6}{25}\) 2) The perime...


Is area of the triangle \(ABC\) greater than \(24?\)

Is area of the triangle \(ABC\) greater than \(24?\)

1) Two of the Sides of the triangle are \(6\) and \(8\)
2) ABC is a Right Triangle

OA A

by AAPL

Wed Oct 09, 2024 9:51 am
Forum: Data Sufficiency
Topic: Is area of the triangle \(ABC\) greater than \(24?\)
Replies: 2
Views: 233

All of the following \(xy\)-coordinate points lie on the circumference of a circle whose radius is \(10\) and whose

All of the following \(xy\)-coordinate points lie on the circumference of a circle whose radius is \(10\) and whose center is the \((x,y)\) point \((0,0)\) EXCEPT:

A. \((-1, 3\sqrt{11})\)
B. \((0, -10)\)
C. \((-5, -7)\)
D. \((8, 6)\)
E. \((2, -4\sqrt{6})\)

OA C


If a number is selected at random from a set of \(6\) distinct integers, what is the probability that the number is odd

If a number is selected at random from a set of \(6\) distinct integers, what is the probability that the number is odd or prime?

1. The probability of the number being odd is \(\dfrac{1}{6}\)

2. The probability of the number being prime is \(\dfrac{1}{3}\)

OA C


Three distinct integers are selected at random between \(1\) and \(2016,\) inclusive (without replacement). Which of the

Three distinct integers are selected at random between \(1\) and \(2016,\) inclusive (without replacement). Which of the following is a correct statement about the probability \(p\) that the product of the three integers is odd? A. \(p < 1/8\) B. \(p = 1/8\) C. \(1/8 < p < 1/3\) D. \(p = 1/3\) E. \(...


Each of the candies in a jar is brown, green, or yellow. If one candy is to be selected at random from the jar, what is

Each of the candies in a jar is brown, green, or yellow. If one candy is to be selected at random from the jar, what is the probability that the candy will be brown?

1. There are \(25\) candies in the jar
2. The probability that the candy selected will be green or yellow is \(2/5\)

OA B


Four pool balls \(A, B, C, D\) are randomly arranged in a straight line. What is the probability that the order will

Four pool balls \(A, B, C, D\) are randomly arranged in a straight line. What is the probability that the order will actually be \(A, B, C, D?\)

A. \(1/2\)
B. \(1/4\)
C. \(1/6\)
D. \(1/8\)
E. \(1/24\)

OA E


What is the profit earned by Mathew, if he sells a product at some discount?

What is the profit earned by Mathew, if he sells a product at some discount?

1) Mathew gives a discount of \(10\%\) on the marked price of \(5000\$\)

2) Had Mathew bought the product at twice the original price, he would have incurred a loss of \(10\%\)

OA C


Brenda walked a \(12\)-mile scenic loop in \(3\) hours. If she then reduced her walking speed by half, how many hours

Brenda walked a \(12\)-mile scenic loop in \(3\) hours. If she then reduced her walking speed by half, how many hours would it take Brenda to walk the same scenic loop two more times?

A. \(6\)
B. \(8\)
C. \(12\)
D. \(18\)
E. \(24\)

OA C


A man invested \(\$P\) in a certain bank at the rate of \(r\%\) per annum compounded annually. If the amount becomes

A man invested \(\$P\) in a certain bank at the rate of \(r\%\) per annum compounded annually. If the amount becomes \(1.44\) times of itself in \(n\) years, what is \(n?\)

1. \(r=20\%\)

2. At the same rate of interest the amount becomes \(1.728\) times itself in \(3\) years

OA D


A plane left Chicago in the morning and made \(3\) flights before returning to Chicago. The plane traveled twice as far

A plane left Chicago in the morning and made \(3\) flights before returning to Chicago. The plane traveled twice as far on the first flight as on the second flight, and the plane traveled three times as far on the second flight as on the third flight. If the third flight was \(45\) miles, how many m...