## Search found 2346 matches

#### 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:
**540**

#### 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:
**460**

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

###### 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:
**555**

#### 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:
**659**

##### 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:
**628**

#### 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:
**2937**

#### 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:
**646**

#### Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the

###### Data Sufficiency

##### Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the

Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the contents of the two packets are mixed in a bowl, the resultant mixture weighs \(400\) grams and contains \(25\%\) sugar. How many grams of salt are contained in Packet \(B?\) 1) One-thi...

- by AAPL

Tue Sep 03, 2024 3:46 pm- Forum: Data Sufficiency
- Topic: Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the
- Replies:
**0** - Views:
**1120**

#### When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the

###### Problem Solving

##### When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the

When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the time taken to cover the same distance with the actual speed?

A. \(1\) hour \(10\) min

B. \(1\) hour \(15\) min

C. \(2\) hours

D. \(2\) hour \(50\) min

E. \(3\) hours

OA C

- by AAPL

Tue Sep 03, 2024 3:27 pm- Forum: Problem Solving
- Topic: When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the
- Replies:
**0** - Views:
**651**

#### There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is

###### Data Sufficiency

##### There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is

There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is \(3{:}4\) and \(4{:}5\) in solution \(B,\) if \(28\) litre of solution is taken from \(A\) and added to Solution \(B,\) what will be the final concentration of spirit in solution \(B.\) 1...

- by AAPL

Tue Sep 03, 2024 3:21 pm- Forum: Data Sufficiency
- Topic: There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is
- Replies:
**0** - Views:
**662**

#### Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and

###### Problem Solving

##### Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and

Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and the ends are semicircles. The track has width \(6\) meters, and it takes her \(36\) seconds longer to walk around the outside edge of the track than around the inside edge. What is ...

- by AAPL

Tue Sep 03, 2024 3:09 pm- Forum: Problem Solving
- Topic: Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and
- Replies:
**0** - Views:
**832**

#### If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated

###### Data Sufficiency

##### If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated

2016-08-31_1640.png If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated lines on the board, then what is the distance between \(x\) and \(y?\) (There are \(12\) inches in a foot). 1. The board is five feet long 2. \(x\) is \(18\) inch...

- by AAPL

Sun Sep 01, 2024 3:53 pm- Forum: Data Sufficiency
- Topic: If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated
- Replies:
**0** - Views:
**784**

#### At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\)

###### Problem Solving

##### At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\)

At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\) how many hours will it take the club to wash \(5C\) cars?

A. \(M/3\)

B. \(M/5\)

C. \(M/12\)

D. \(3M\)

E. \(5M\)

OA C

- by AAPL

Sun Sep 01, 2024 3:44 pm- Forum: Problem Solving
- Topic: At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\)
- Replies:
**0** - Views:
**647**

#### The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division.

###### Data Sufficiency

##### The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division.

The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of \(1 \Delta 5?\)

1. \(x \Delta (x \Delta x) = x\) for \(x \neq 0\)

2. \(2 \Delta 2 = 0\)

OA B

- by AAPL

Sun Sep 01, 2024 3:32 pm- Forum: Data Sufficiency
- Topic: The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division.
- Replies:
**0** - Views:
**583**

#### \(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?

###### Problem Solving

##### \(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?

\(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?

A. \(0.02\)

B. \(0.2\)

C. \(2\)

D. \(20\)

E. \(200\)

OA C

- by AAPL

Sun Sep 01, 2024 3:24 pm- Forum: Problem Solving
- Topic: \(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?
- Replies:
**0** - Views:
**646**