## Search found 2324 matches

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

###### Data Sufficiency

##### 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

- by AAPL

Wed Oct 02, 2024 2:54 pm- Forum: Data Sufficiency
- Topic: If a number is selected at random from a set of \(6\) distinct integers, what is the probability that the number is odd
- Replies:
**0** - Views:
**41**

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

###### Problem Solving

##### 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. \(...

- by AAPL

Wed Oct 02, 2024 2:46 pm- Forum: Problem Solving
- Topic: Three distinct integers are selected at random between \(1\) and \(2016,\) inclusive (without replacement). Which of the
- Replies:
**0** - Views:
**24**

#### 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

###### Data Sufficiency

##### 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

- by AAPL

Wed Oct 02, 2024 2:35 pm- Forum: Data Sufficiency
- Topic: 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
- Replies:
**0** - Views:
**28**

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

###### Problem Solving

##### 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

- by AAPL

Wed Oct 02, 2024 2:27 pm- Forum: Problem Solving
- Topic: Four pool balls \(A, B, C, D\) are randomly arranged in a straight line. What is the probability that the order will
- Replies:
**0** - Views:
**27**

##### 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

- by AAPL

Thu Sep 26, 2024 4:55 pm- Forum: Data Sufficiency
- Topic: What is the profit earned by Mathew, if he sells a product at some discount?
- Replies:
**0** - Views:
**148**

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

###### Problem Solving

##### 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

- by AAPL

Thu Sep 26, 2024 4:42 pm- Forum: Problem Solving
- Topic: Brenda walked a \(12\)-mile scenic loop in \(3\) hours. If she then reduced her walking speed by half, how many hours
- Replies:
**0** - Views:
**91**

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

###### Data Sufficiency

##### 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

- by AAPL

Thu Sep 26, 2024 4:34 pm- Forum: Data Sufficiency
- Topic: A man invested \(\$P\) in a certain bank at the rate of \(r\%\) per annum compounded annually. If the amount becomes
- Replies:
**0** - Views:
**130**

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

###### Problem Solving

##### 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...

- by AAPL

Thu Sep 26, 2024 4:23 pm- Forum: Problem Solving
- Topic: A plane left Chicago in the morning and made \(3\) flights before returning to Chicago. The plane traveled twice as far
- Replies:
**0** - Views:
**116**

#### Which of the following is equivalent to \((2^3)(3^4)(7)+(2^2)(3^5)(5)+(2^4)(3^3)(11)?\)

###### Problem Solving

##### Which of the following is equivalent to \((2^3)(3^4)(7)+(2^2)(3^5)(5)+(2^4)(3^3)(11)?\)

Which of the following is equivalent to \((2^3)(3^4)(7)+(2^2)(3^5)(5)+(2^4)(3^3)(11)?\)

A. \((2^2)(3^3)[(2)(3)(7)+(3^2)(5)+(2^2)(11)]\)

B. \((2^2)(3^4)[7+(3)(5)+11]\)

C. \((2)(3)[7+5+11]\)

D. \((2)(3^3)[(2)(3)(7)+(3^2)(5)+(2^2)(11)]\)

E. \((2)(3^4)[7+(2)(3)(5)+11]\)

OA A

- by AAPL

Wed Sep 18, 2024 4:45 pm- Forum: Problem Solving
- Topic: Which of the following is equivalent to \((2^3)(3^4)(7)+(2^2)(3^5)(5)+(2^4)(3^3)(11)?\)
- Replies:
**0** - Views:
**217**

#### The sum of two positive integers is \(21.\) What is the value of the larger integer?

###### Data Sufficiency

##### The sum of two positive integers is \(21.\) What is the value of the larger integer?

The sum of two positive integers is \(21.\) What is the value of the larger integer?

1. The product of the two integers is \(104\)

2. The larger integer is a prime number

OA A

- by AAPL

Wed Sep 18, 2024 4:23 pm- Forum: Data Sufficiency
- Topic: The sum of two positive integers is \(21.\) What is the value of the larger integer?
- Replies:
**0** - Views:
**147**

#### \(\dfrac{1}{\dfrac{1}{\sqrt[3]{a+b}}}* \dfrac{\sqrt[3]{(a+b)^4}}{\dfrac{1}{(a+b)^{-\frac{2}{3}}}}=\)

###### Problem Solving

##### \(\dfrac{1}{\dfrac{1}{\sqrt[3]{a+b}}}* \dfrac{\sqrt[3]{(a+b)^4}}{\dfrac{1}{(a+b)^{-\frac{2}{3}}}}=\)

\(\dfrac{1}{\dfrac{1}{\sqrt[3]{a+b}}}* \dfrac{\sqrt[3]{(a+b)^4}}{\dfrac{1}{(a+b)^{-\frac{2}{3}}}}=\)

A. \(1\)

B. \((a + b)-1/3\)

C. \((a + b)1/3\)

D. \((a + b)2/3\)

E. \(a + b\)

OA E

- by AAPL

Wed Sep 18, 2024 4:15 pm- Forum: Problem Solving
- Topic: \(\dfrac{1}{\dfrac{1}{\sqrt[3]{a+b}}}* \dfrac{\sqrt[3]{(a+b)^4}}{\dfrac{1}{(a+b)^{-\frac{2}{3}}}}=\)
- Replies:
**0** - Views:
**174**

#### A museum has \(259\) paintings and \(11\) sculptures. How many photographs does the museum have?

###### Data Sufficiency

##### A museum has \(259\) paintings and \(11\) sculptures. How many photographs does the museum have?

A museum has \(259\) paintings and \(11\) sculptures. How many photographs does the museum have? 1) If the museum acquires \(6\) more paintings, then the number of paintings and sculptures combined will be \(6\) times the number of photographs 2) If the museum acquires \(4\) more paintings and \(2\)...

- by AAPL

Wed Sep 11, 2024 4:14 pm- Forum: Data Sufficiency
- Topic: A museum has \(259\) paintings and \(11\) sculptures. How many photographs does the museum have?
- Replies:
**0** - Views:
**223**

##### If \((1 < A < 3 < B),\) then which of the following expressions is the largest?

If \((1 < A < 3 < B),\) then which of the following expressions is the largest?

A. \(\dfrac{(B+2)}{(A-1)}\)

B. \(\dfrac{(B-2)}{(A+1)}\)

C. \(\dfrac{A}{B}\)

D. \(\dfrac{(B-2)}{(A-1)}\)

E. \(\dfrac{B}{A}\)

OA A

- by AAPL

Wed Sep 11, 2024 4:06 pm- Forum: Problem Solving
- Topic: If \((1 < A < 3 < B),\) then which of the following expressions is the largest?
- Replies:
**0** - Views:
**208**

#### Each boy does exactly \(2\) units of work per day and each girl does exactly \(3\) units of work per day. Can \(4\) boys

###### Data Sufficiency

##### Each boy does exactly \(2\) units of work per day and each girl does exactly \(3\) units of work per day. Can \(4\) boys

Each boy does exactly \(2\) units of work per day and each girl does exactly \(3\) units of work per day. Can \(4\) boys and \(3\) girls finish the total given work within \(6\) days?

1. The total given work is greater than \(80\) units

2. The total given work is lesser than \(100\) units

OA B

- by AAPL

Wed Sep 11, 2024 3:51 pm- Forum: Data Sufficiency
- Topic: Each boy does exactly \(2\) units of work per day and each girl does exactly \(3\) units of work per day. Can \(4\) boys
- Replies:
**0** - Views:
**219**

#### A \(\$5,000\) investment can be placed into an account that earns \(10\) percent simple interest for \(2\) years or

###### Problem Solving

##### A \(\$5,000\) investment can be placed into an account that earns \(10\) percent simple interest for \(2\) years or

A \(\$5,000\) investment can be placed into an account that earns \(10\) percent simple interest for \(2\) years or \(10\) percent compound interest for \(2\) years. How many additional dollars of interest will be earned by investing the \(\$5,000\) in the compound interest account? A. \(10\) B. \(5...

- by AAPL

Wed Sep 11, 2024 3:39 pm- Forum: Problem Solving
- Topic: A \(\$5,000\) investment can be placed into an account that earns \(10\) percent simple interest for \(2\) years or
- Replies:
**0** - Views:
**225**