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What is the remainder when the positive integer \(x\) is divided by \(7?\)
What is the remainder when the positive integer \(x\) is divided by \(7?\)
1. The remainder is \(1\) when \(3x\) is divided by \(7\)
2. The remainder is \(1\) when \(7x\) is divided by \(3\)
The OA is A
- by BTGmoderatorLU
Fri Jun 06, 2025 6:04 pm- Forum: Data Sufficiency
- Topic: What is the remainder when the positive integer \(x\) is divided by \(7?\)
- Replies: 0
- Views: 62
When a positive integer \(n\) is divided by \(4,\) the remainder is \(3.\) Which of the following could equal \(n\) for
Problem Solving
When a positive integer \(n\) is divided by \(4,\) the remainder is \(3.\) Which of the following could equal \(n\) for
When a positive integer \(n\) is divided by \(4,\) the remainder is \(3.\) Which of the following could equal \(n\) for some integer \(t?\)
A. \(4t + 2\)
B. \(4t\)
C. \(4t – 1\)
D. \(4t – 2\)
E. \(4t – 3\)
The OA is C
- by BTGmoderatorLU
Fri Jun 06, 2025 5:59 pm- Forum: Problem Solving
- Topic: When a positive integer \(n\) is divided by \(4,\) the remainder is \(3.\) Which of the following could equal \(n\) for
- Replies: 0
- Views: 40
The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and
Data Sufficiency
The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and
The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and bronze coins to some of them. No employee can receive more than one coin. In how many ways can the company give the coins to the employees? 1. A total of \(13\) coins are given to the...
- by BTGmoderatorLU
Thu May 29, 2025 4:55 pm- Forum: Data Sufficiency
- Topic: The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and
- Replies: 0
- Views: 172
A tutor is scheduling his appointments for the day and has \(5\) students to see: Liz, Jake, Sarah, Ramsey, and Cody.
Problem Solving
A tutor is scheduling his appointments for the day and has \(5\) students to see: Liz, Jake, Sarah, Ramsey, and Cody.
A tutor is scheduling his appointments for the day and has \(5\) students to see: Liz, Jake, Sarah, Ramsey, and Cody. If the tutor sees all his students that day how many different schedules of students are possible?
A. \(3125\)
B. \(1554\)
C. \(120\)
D. \(60\)
E. \(15\)
The OA is C
- by BTGmoderatorLU
Thu May 29, 2025 4:43 pm- Forum: Problem Solving
- Topic: A tutor is scheduling his appointments for the day and has \(5\) students to see: Liz, Jake, Sarah, Ramsey, and Cody.
- Replies: 0
- Views: 103
In how many ways can a coach select a university team from a pool of eligible candidates?
Data Sufficiency
In how many ways can a coach select a university team from a pool of eligible candidates?
In how many ways can a coach select a university team from a pool of eligible candidates?
1. The number of eligible candidates is three times greater than the number of slots on the team
2. \(60\%\) of the \(20\) athletes are eligible to play on the four-person university team
The OA is B
- by BTGmoderatorLU
Thu May 29, 2025 4:27 pm- Forum: Data Sufficiency
- Topic: In how many ways can a coach select a university team from a pool of eligible candidates?
- Replies: 0
- Views: 119
In how many ways can \(11\) Slytherins line up outside the Divination classroom if Malfoy must be immediately between
Problem Solving
In how many ways can \(11\) Slytherins line up outside the Divination classroom if Malfoy must be immediately between
In how many ways can \(11\) Slytherins line up outside the Divination classroom if Malfoy must be immediately between Crabbe and Goyle?
A. \(11!\)
B. \(10!\)
C. \(9!*2!\)
D. \(9!\)
E. \(8!*2!\)
The OA is C
- by BTGmoderatorLU
Thu May 29, 2025 4:17 pm- Forum: Problem Solving
- Topic: In how many ways can \(11\) Slytherins line up outside the Divination classroom if Malfoy must be immediately between
- Replies: 0
- Views: 108
A student’s average score for \(10\) tests was \(x.\) The grader then discovered that there was an error on two of the
Problem Solving
A student’s average score for \(10\) tests was \(x.\) The grader then discovered that there was an error on two of the
A student’s average score for \(10\) tests was \(x.\) The grader then discovered that there was an error on two of the tests. On one of the tests, the student’s score should have been \(10\) points lower. On another test, the student’s score should have been \(20\) points higher. After the grader co...
- by BTGmoderatorLU
Fri May 23, 2025 3:48 pm- Forum: Problem Solving
- Topic: A student’s average score for \(10\) tests was \(x.\) The grader then discovered that there was an error on two of the
- Replies: 0
- Views: 262
What is the average temperature from Monday through Saturday of a week?
What is the average temperature from Monday through Saturday of a week? 1. The average temperature from Monday through Wednesday of the week is \(36^{\circ}C\) 2. The minimum and maximum temperatures between Thursday and Saturday of the week are \(25^{\circ}C\) and \(38^{\circ}C\), respectively The ...
- by BTGmoderatorLU
Fri May 23, 2025 3:34 pm- Forum: Data Sufficiency
- Topic: What is the average temperature from Monday through Saturday of a week?
- Replies: 0
- Views: 190
Janet’s average for four tests was \(75.\) If she scored \(63\) and \(83\) on the first two tests, what was her average
Problem Solving
Janet’s average for four tests was \(75.\) If she scored \(63\) and \(83\) on the first two tests, what was her average
Janet’s average for four tests was \(75.\) If she scored \(63\) and \(83\) on the first two tests, what was her average for the last two tests?
A. \(73\)
B. \(75\)
C. \(77\)
D. \(79\)
E. \(81\)
The OA is C
- by BTGmoderatorLU
Fri May 23, 2025 2:58 pm- Forum: Problem Solving
- Topic: Janet’s average for four tests was \(75.\) If she scored \(63\) and \(83\) on the first two tests, what was her average
- Replies: 0
- Views: 172
Does positive integer \(d\) have two or more factors, both of which are greater than \(1?\)
Data Sufficiency
Does positive integer \(d\) have two or more factors, both of which are greater than \(1?\)
Does positive integer \(d\) have two or more factors, both of which are greater than \(1?\)
1) \(d\) is even
2) \(0 < d^2 < 16\)
The OA is B
- by BTGmoderatorLU
Thu May 15, 2025 7:04 am- Forum: Data Sufficiency
- Topic: Does positive integer \(d\) have two or more factors, both of which are greater than \(1?\)
- Replies: 0
- Views: 1617
Danny went on a shopping spree. He bought \(h\) hats and \(s\) shirts. The number of shirts he bought was \(15\) greater
Problem Solving
Danny went on a shopping spree. He bought \(h\) hats and \(s\) shirts. The number of shirts he bought was \(15\) greater
Danny went on a shopping spree. He bought \(h\) hats and \(s\) shirts. The number of shirts he bought was \(15\) greater than the number of hats. Which of the following expresses this relationship? A. \(h > 15s\) B. \(h > s + 15\) C. \(h > s – 15\) D. \(h = s – 15\) E. \(h = s + 15\) The OA is D
- by BTGmoderatorLU
Thu May 15, 2025 6:50 am- Forum: Problem Solving
- Topic: Danny went on a shopping spree. He bought \(h\) hats and \(s\) shirts. The number of shirts he bought was \(15\) greater
- Replies: 0
- Views: 1076
What is the tenths digit in decimal representation of \(x?\)
What is the tenths digit in decimal representation of \(x?\)
1. \(x\) is greater than \(\dfrac{3}{8}\)
2. \(x\) is less than \(\dfrac{3}{7}\)
The OA is E
- by BTGmoderatorLU
Thu May 15, 2025 6:37 am- Forum: Data Sufficiency
- Topic: What is the tenths digit in decimal representation of \(x?\)
- Replies: 0
- Views: 674
The number line above shows the position of a point that has coordinate \(x.\) Which of the following statements about
Problem Solving
The number line above shows the position of a point that has coordinate \(x.\) Which of the following statements about
2017-07-12_1248(1).png The number line above shows the position of a point that has coordinate \(x.\) Which of the following statements about \(x\) must be true? I. \(2 < x < 4\) II. \(-x < -3\) III. \(0 < 2x-3 < 1\) A. I only B. II only C. III only D. I and II E. I and III The OA is A
- by BTGmoderatorLU
Thu May 15, 2025 6:27 am- Forum: Problem Solving
- Topic: The number line above shows the position of a point that has coordinate \(x.\) Which of the following statements about
- Replies: 0
- Views: 1924
One red bottle and five blue bottles are to be arranged in a straight line from left to right on a windowsill. How many
Problem Solving
One red bottle and five blue bottles are to be arranged in a straight line from left to right on a windowsill. How many
One red bottle and five blue bottles are to be arranged in a straight line from left to right on a windowsill. How many different, unique arrangements are possible?
A. \(6\)
B. \(12\)
C. \(30\)
D. \(60\)
E. \(120\)
The OA is A
- by BTGmoderatorLU
Thu May 08, 2025 6:13 pm- Forum: Problem Solving
- Topic: One red bottle and five blue bottles are to be arranged in a straight line from left to right on a windowsill. How many
- Replies: 0
- Views: 3556
When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to
Data Sufficiency
When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to
When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to display the items on a shelf. How many different ways can she place the items in a row on the shelf if she alternates between candles and figurines? 1) If only the figurines were l...
- by BTGmoderatorLU
Thu May 08, 2025 6:03 pm- Forum: Data Sufficiency
- Topic: When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to
- Replies: 0
- Views: 805