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Eight times one-third of a number is one greater than five times one-half of that number. What is that number?
Problem Solving
Eight times one-third of a number is one greater than five times one-half of that number. What is that number?
Eight times one-third of a number is one greater than five times one-half of that number. What is that number?
A. \(3\)
B. \(6\)
C. \(8\)
D. \(9\)
E. \(12\)
The OA is B
- by BTGmoderatorLU
Sat Jun 08, 2024 1:30 pm- Forum: Problem Solving
- Topic: Eight times one-third of a number is one greater than five times one-half of that number. What is that number?
- Replies: 0
- Views: 3
A clothing store acquired an item at a cost of \(x\) dollars and sold the item for \(y\) dollars. The store’s gross
Data Sufficiency
A clothing store acquired an item at a cost of \(x\) dollars and sold the item for \(y\) dollars. The store’s gross
A clothing store acquired an item at a cost of \(x\) dollars and sold the item for \(y\) dollars. The store’s gross profit from the item was what percent of its cost for the item?
1) \(y - x = 20\)
2) \(y/x = 5 / 4\)
The OA is B
- by BTGmoderatorLU
Sat Jun 08, 2024 1:20 pm- Forum: Data Sufficiency
- Topic: A clothing store acquired an item at a cost of \(x\) dollars and sold the item for \(y\) dollars. The store’s gross
- Replies: 0
- Views: 1
If two nonzero positive integers \(p\) and \(q\) are such that \(p=4q\) and \(q<8,\) then \(q=\)
Problem Solving
If two nonzero positive integers \(p\) and \(q\) are such that \(p=4q\) and \(q<8,\) then \(q=\)
If two nonzero positive integers \(p\) and \(q\) are such that \(p=4q\) and \(p < 8,\) then \(q=\)
A. \(1\)
B. \(2\)
C. \(3\)
D. \(4\)
E. \(5\)
The OA is A
- by BTGmoderatorLU
Sat Jun 08, 2024 1:12 pm- Forum: Problem Solving
- Topic: If two nonzero positive integers \(p\) and \(q\) are such that \(p=4q\) and \(q<8,\) then \(q=\)
- Replies: 0
- Views: 3
A coach will select the members of a \(5\)-players team from \(9\) players, including \(A\) and \(B\). If the \(5\)
Problem Solving
A coach will select the members of a \(5\)-players team from \(9\) players, including \(A\) and \(B\). If the \(5\)
A coach will select the members of a \(5\)-players team from \(9\) players, including \(A\) and \(B\). If the \(5\) players are chosen at random, What is the probability that the coach chooses a team that includes both \(A\) and \(B?\) A. \(\dfrac{1}{9}\) B. \(\dfrac{1}{6}\) C. \(\dfrac{2}{9}\) D. \...
- by BTGmoderatorLU
Sat Jun 01, 2024 7:03 am- Forum: Problem Solving
- Topic: A coach will select the members of a \(5\)-players team from \(9\) players, including \(A\) and \(B\). If the \(5\)
- Replies: 0
- Views: 17
In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be
Data Sufficiency
In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be
In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be selected?
1) Two-fifths of the students in the classroom are boys
2) \(15\) of the students in the classroom are boys
The OA is A
- by BTGmoderatorLU
Sat Jun 01, 2024 6:53 am- Forum: Data Sufficiency
- Topic: In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be
- Replies: 0
- Views: 16
A jar contains \(6\) chocolate candies and \(4\) mint candies. If Ben reaches into the jar to draw and eat two candies
Problem Solving
A jar contains \(6\) chocolate candies and \(4\) mint candies. If Ben reaches into the jar to draw and eat two candies
A jar contains \(6\) chocolate candies and \(4\) mint candies. If Ben reaches into the jar to draw and eat two candies at random, what is the probability that he eats two chocolate candies?
A. \(1/2\)
B. \(1/3\)
C. \(2/9\)
D. \(1/6\)
E. \(1/9\)
The AO is B
- by BTGmoderatorLU
Sat Jun 01, 2024 6:45 am- Forum: Problem Solving
- Topic: A jar contains \(6\) chocolate candies and \(4\) mint candies. If Ben reaches into the jar to draw and eat two candies
- Replies: 0
- Views: 16
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: 26
The average of a series of consecutive integers is an even integer. Which of the following could be true?
Data Sufficiency
The average of a series of consecutive integers is an even integer. Which of the following could be true?
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: 19
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: 14
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: 27
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: 31
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: 27
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: 27
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: 41
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: 21