## Search found 2221 matches

#### The average of a series of consecutive integers is an even integer. Which of the following could be true?

###### Problem Solving

##### The average of a series of consecutive integers is an even integer. Which of the following could be true?

The average of a series of consecutive integers is an even integer. Which of the following could be true? I. There is an even number of integers in the series. II. The smallest number in the series is odd. III. The product of the smallest and largest number in the series is odd. A. I only B. II only...

- by BTGmoderatorLU

Thu May 23, 2024 5:21 pm- Forum: Problem Solving
- Topic: The average of a series of consecutive integers is an even integer. Which of the following could be true?
- Replies:
**0** - Views:
**19**

#### The average of a series of consecutive integers is an even integer. Which of the following could be true?

###### Data Sufficiency

What is the tens digit of two-digit positive integer\(w?\)

1) The tens digit of \(2w\) is equal to the tens digit of \(w\)

2) The sum of the digits of \(w+5\) is \(5\)

The OA is A

- by BTGmoderatorLU

Thu May 23, 2024 5:06 pm- Forum: Data Sufficiency
- Topic: The average of a series of consecutive integers is an even integer. Which of the following could be true?
- Replies:
**0** - Views:
**15**

#### Joseph's final grade is calculated from the mean of his test scores. His teacher also allows them to drop the lowest

###### Problem Solving

##### Joseph's final grade is calculated from the mean of his test scores. His teacher also allows them to drop the lowest

Joseph's final grade is calculated from the mean of his test scores. His teacher also allows them to drop the lowest score before calculating the final grade. If Joseph received a \((67, 82, 73, 91, 77,\) and\(, 75)\) on his tests, what was his final grade rounded to the nearest whole number? A. \(7...

- by BTGmoderatorLU

Thu May 23, 2024 4:58 pm- Forum: Problem Solving
- Topic: Joseph's final grade is calculated from the mean of his test scores. His teacher also allows them to drop the lowest
- Replies:
**0** - Views:
**11**

##### What is the remainder when \(2^{28}\) is divided by \(3?\)

What is the remainder when \(2^{28}\) is divided by \(3?\)

A. \(1\)

B. \(2\)

C. \(3\)

D. \(4\)

E. \(5\)

The OA is A

- by BTGmoderatorLU

Wed May 15, 2024 3:07 pm- Forum: Problem Solving
- Topic: What is the remainder when \(2^{28}\) is divided by \(3?\)
- Replies:
**0** - Views:
**24**

#### When positive integer \(y\) is divided by \(51,\) the remainder is \(x.\) What is the remainder when \(y\) is divided by

###### Data Sufficiency

##### When positive integer \(y\) is divided by \(51,\) the remainder is \(x.\) What is the remainder when \(y\) is divided by

When positive integer \(y\) is divided by \(51,\) the remainder is \(x.\) What is the remainder when \(y\) is divided by \(17?\)

1. When \(y\) is divided by \(34\) the remainder is zero

2. \(x=17\)

The OA is D

- by BTGmoderatorLU

Wed May 15, 2024 2:58 pm- Forum: Data Sufficiency
- Topic: When positive integer \(y\) is divided by \(51,\) the remainder is \(x.\) What is the remainder when \(y\) is divided by
- Replies:
**0** - Views:
**27**

#### When \(n\) is divided by \(24,\) the remainder is \(5.\) What is the remainder when \(3n\) is divided by \(8?\)

###### Problem Solving

##### When \(n\) is divided by \(24,\) the remainder is \(5.\) What is the remainder when \(3n\) is divided by \(8?\)

When \(n\) is divided by \(24,\) the remainder is \(5.\) What is the remainder when \(3n\) is divided by \(8?\)

A. \(3\)

B. \(4\)

C. \(5\)

D. \(6\)

E. \(7\)

OA E

- by BTGmoderatorLU

Wed May 15, 2024 2:39 pm- Forum: Problem Solving
- Topic: When \(n\) is divided by \(24,\) the remainder is \(5.\) What is the remainder when \(3n\) is divided by \(8?\)
- Replies:
**0** - Views:
**22**

#### A car drives \(40\) miles on local roads at \(20 \text{ mph,}\) and \(180\) miles on the highway at \(60 \text{ mph},\)

###### Problem Solving

##### A car drives \(40\) miles on local roads at \(20 \text{ mph,}\) and \(180\) miles on the highway at \(60 \text{ mph},\)

A car drives \(40\) miles on local roads at \(20 \text{ mph,}\) and \(180\) miles on the highway at \(60 \text{ mph},\) what is the average speed of the entire trip?

A. \(36 \text{ mph}\)

B. \(40 \text{ mph}\)

C. \(44 \text{ mph}\)

D. \(52 \text{ mph}\)

E. \(58 \text{ mph}\)

The OA is C

- by BTGmoderatorLU

Sat May 11, 2024 6:18 pm- Forum: Problem Solving
- Topic: A car drives \(40\) miles on local roads at \(20 \text{ mph,}\) and \(180\) miles on the highway at \(60 \text{ mph},\)
- Replies:
**0** - Views:
**22**

##### What distance did Marty drive?

What distance did Marty drive?

1. Wendy drove \(15\) miles in \(20\) minutes

2. Marty drove at the same average speed as Wendy.

The OA is E

- by BTGmoderatorLU

Sat May 11, 2024 6:03 pm- Forum: Data Sufficiency
- Topic: What distance did Marty drive?
- Replies:
**0** - Views:
**22**

#### Two cyclists, \(A\) and \(B,\) are \(145\) miles apart on a straight road. At \(1{:}30 \text{ p.m.},\) cyclist \(A\)

###### Problem Solving

##### Two cyclists, \(A\) and \(B,\) are \(145\) miles apart on a straight road. At \(1{:}30 \text{ p.m.},\) cyclist \(A\)

Two cyclists, \(A\) and \(B,\) are \(145\) miles apart on a straight road. At \(1{:}30 \text{ p.m.},\) cyclist \(A\) begins riding at a constant speed of \(20\) miles per hour toward cyclist \(B.\) At \(2{:}00 \text{ p.m.},\) cyclist \(B\) begins riding toward cyclist \(A\) at a constant speed. At \...

- by BTGmoderatorLU

Sat May 11, 2024 5:44 pm- Forum: Problem Solving
- Topic: Two cyclists, \(A\) and \(B,\) are \(145\) miles apart on a straight road. At \(1{:}30 \text{ p.m.},\) cyclist \(A\)
- Replies:
**0** - Views:
**18**

#### How many arrangements are possible with the letters of the word 'PROFILE', if no two consonants are to come together?

###### Problem Solving

##### How many arrangements are possible with the letters of the word 'PROFILE', if no two consonants are to come together?

How many arrangements are possible with the letters of the word 'PROFILE', if no two consonants are to come together?

A. \(36\)

B. \(120\)

C. \(144\)

D. \(288\)

E. \(576\)

The OA is C

- by BTGmoderatorLU

Fri May 03, 2024 5:56 pm- Forum: Problem Solving
- Topic: How many arrangements are possible with the letters of the word 'PROFILE', if no two consonants are to come together?
- Replies:
**0** - Views:
**131**

#### For Museum X, the total entrance fee is \(\$x\) plus \(\$z\) each person older than \(30.\) For museum \(Y,\) the total

###### Data Sufficiency

##### For Museum X, the total entrance fee is \(\$x\) plus \(\$z\) each person older than \(30.\) For museum \(Y,\) the total

For Museum X, the total entrance fee is \(\$x\) plus \(\$z\) each person older than \(30.\) For museum \(Y,\) the total entrance fee is \(\$y\) plus \(\$w\) each person older than \(40.\) When \(50\) people enter museums \(X\) and \(Y,\) is the total entrance fee of the museum \(X\) smaller than tha...

- by BTGmoderatorLU

Fri May 03, 2024 5:45 pm- Forum: Data Sufficiency
- Topic: For Museum X, the total entrance fee is \(\$x\) plus \(\$z\) each person older than \(30.\) For museum \(Y,\) the total
- Replies:
**0** - Views:
**63**

#### The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move

###### Problem Solving

##### The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move

2018-04-01_2140.png The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move from point \(A\) to point \(E\) and then back from point \(E\) to point \(A\) without retracing a previous path taken? A. \(300\) B. \(7,200\) C. \(14,400\) D. \...

- by BTGmoderatorLU

Fri May 03, 2024 5:37 pm- Forum: Problem Solving
- Topic: The figure shows the paths from point \(A\) to point \(E\) in a video game. How many different ways can a player move
- Replies:
**0** - Views:
**68**

##### How many miles long is the route from Danton to Griggston?

How many miles long is the route from Danton to Griggston?

1. It is twice as far from Danton to Griggston as it is from Danton to Farmville

2. It takes \(12\) hours to get from Danton to Farmville by bus

The OA is E

- by BTGmoderatorLU

Fri Apr 19, 2024 7:20 pm- Forum: Data Sufficiency
- Topic: How many miles long is the route from Danton to Griggston?
- Replies:
**0** - Views:
**230**

#### Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell

###### Problem Solving

##### Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell

Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is \(50\) kilometers, Maxwell's walking speed is \(4 \,km/h\), and Brad's running speed is \(6 \,km/h\), what is the distance traveled...

- by BTGmoderatorLU

Fri Apr 19, 2024 7:11 pm- Forum: Problem Solving
- Topic: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell
- Replies:
**0** - Views:
**206**

#### In the diagram above each of the letters represents one of the digits between \(5\) and \(9\). If each row and each

###### Data Sufficiency

##### In the diagram above each of the letters represents one of the digits between \(5\) and \(9\). If each row and each

\(\begin{array}{|c|c|c|} \hline w & x & z \\ \hline a & b & c \\ \hline k & l & m \\ \hline \end{array}\) In the diagram above each of the letters represents one of the digits between \(5\) and \(9\). If each row and each column must be filled with distinct digits, what is th...

- by BTGmoderatorLU

Tue Apr 09, 2024 10:25 am- Forum: Data Sufficiency
- Topic: In the diagram above each of the letters represents one of the digits between \(5\) and \(9\). If each row and each
- Replies:
**0** - Views:
**170**