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Percent and Interest Problems, Word Problems
A total of \(\$100,000\) was invested in one year. A part of this amount earned a simple annual interest at the rate of \(x\) percent, and the rest earned a simple annual interest at the rate of \(y\) percent. If the total interest earned by the \(\$100,000\) in one year was \(\$2,600,\) what is the...
- by swerve
Fri Nov 01, 2024 3:33 pm- Forum: Data Sufficiency
- Topic: Percent and Interest Problems, Word Problems
- Replies: 0
- Views: 57
Percent and Interest Problems
The attendance of the first day of a \(3\)-day festival was \(20\%\) greater than the attendance on the final day of the festival. If the attendance on the first day was \(11,418,\) what was the attendance on the final day of the festival? A. \(3,806\) B. \(5,190\) C. \(9,134\) D. \(9,515\) E. \(11,...
- by swerve
Fri Nov 01, 2024 3:18 pm- Forum: Problem Solving
- Topic: Percent and Interest Problems
- Replies: 0
- Views: 19
Percent and Interest Problems, Word Problems
Team \(X\) won \(40\) basketball games. What percent of its basketball games did Team \(X\) win?
1. Team \(X\) played the same number of basketball games as Team \(Y\)
2. Team \(Y\) won \(45\) games, representing \(2.5\) percent of the basketball games it played
The OA is C
- by swerve
Fri Nov 01, 2024 3:09 pm- Forum: Data Sufficiency
- Topic: Percent and Interest Problems, Word Problems
- Replies: 0
- Views: 26
Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants
Problem Solving
Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants
Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants and \(40\%\) is planted with strawberry plants. If the remaining \(360\) acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?...
- by swerve
Fri Nov 01, 2024 2:58 pm- Forum: Problem Solving
- Topic: Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants
- Replies: 0
- Views: 19
Remainders
\(x\) and \(h\) are both positive integers. When \(x\) is divided by \(7,\) the quotient is \(h\) with a remainder of \(3.\) Which of the following could be the value of \(x?\)
A. \(7\)
B. \(21\)
C. \(50\)
D. \(52\)
E. \(57\)
The OA is D
- by swerve
Fri Oct 25, 2024 6:26 am- Forum: Problem Solving
- Topic: Remainders
- Replies: 0
- Views: 171
Multiples and Factors, Remainders
What is the remainder when the positive integer \(x\) is divided by \(9?\)
1) \(x + 34\) is a multiple of \(18\)
2) \(x\) is a multiple of \(11\)
The OA is A
- by swerve
Fri Oct 25, 2024 6:14 am- Forum: Data Sufficiency
- Topic: Multiples and Factors, Remainders
- Replies: 0
- Views: 72
Must or Could be True Questions, Number Properties, Remainders
The integer \(P\) is greater than \(7.\) If the integer \(P\) leaves a remainder of \(4\) when divided by \(9,\) all of the following must be true EXCEPT A. The number that is \(4\) less than \(P\) is a multiple of \(9\) B. The number that is \(5\) more than \(P\) is a multiple of \(9\) C. The numbe...
- by swerve
Fri Oct 25, 2024 5:58 am- Forum: Problem Solving
- Topic: Must or Could be True Questions, Number Properties, Remainders
- Replies: 0
- Views: 307
Arithmetic, Sequences
What is the value of positive integer \(N?\)
1) Sum of \(N\) consecutive positive integers is \(90\)
2) \(5 < N < 10\)
The OA is C
- by swerve
Sat Oct 19, 2024 9:05 am- Forum: Data Sufficiency
- Topic: Arithmetic, Sequences
- Replies: 0
- Views: 159
Arithmetic, Percent and Interest Problems
John buys \(100\) shares of stock at \(\$100\) per share. The price goes up by \(10\%\) and he sells \(50\) shares. Then, prices drop by \(10\%\) and he sells his remaining \(50\) shares. How much did he get for the last \(50?\) A. \(\$5000\) B. \(\$5500\) C. \(\$4900\) D. \(\$5050\) E. \(\$4950\) T...
- by swerve
Sat Oct 19, 2024 8:53 am- Forum: Problem Solving
- Topic: Arithmetic, Percent and Interest Problems
- Replies: 0
- Views: 105
Arithmetic
In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members in the union from \(1984\) to \(1985\) greater than that from \(1985\) to \(1986?\) 1. From \(1984\) to \(1985\) the total number of members in the union increased by \(781,\) and f...
- by swerve
Sat Oct 19, 2024 8:46 am- Forum: Data Sufficiency
- Topic: Arithmetic
- Replies: 0
- Views: 91
Arithmetic, Geometry
At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of \(298\) square feet. If the area of each fragment is at least \(15\) square feet, what is the greatest number of fragments that could be present in the discovery? A. \(17\) B. \(18\) C. \(19\) D...
- by swerve
Sat Oct 19, 2024 8:41 am- Forum: Problem Solving
- Topic: Arithmetic, Geometry
- Replies: 0
- Views: 98
\(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)
Data Sufficiency
\(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)
\(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)
1) \(A*B > B*C > C*A\)
2) \(1/C > 1/A > 1/B\)
The OA is D
- by swerve
Thu Oct 17, 2024 3:10 pm- Forum: Data Sufficiency
- Topic: \(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)
- Replies: 0
- Views: 151
A car starts from \(X\) and moves towards \(Y.\) At the same time another car starts from \(Y\) and moves towards \(X.\)
Problem Solving
A car starts from \(X\) and moves towards \(Y.\) At the same time another car starts from \(Y\) and moves towards \(X.\)
A car starts from \(X\) and moves towards \(Y.\) At the same time another car starts from \(Y\) and moves towards \(X.\) Both travel at a constant speed and meet after \(4\) hours. During that time, the faster car traveled \(2/3\) of the distance \(XY.\) How long would it take the slower car to trav...
- by swerve
Thu Oct 17, 2024 3:00 pm- Forum: Problem Solving
- Topic: A car starts from \(X\) and moves towards \(Y.\) At the same time another car starts from \(Y\) and moves towards \(X.\)
- Replies: 0
- Views: 107
Is the total of the sales prices of \(3\) products greater than \(\$23?\)
Is the total of the sales prices of \(3\) products greater than \(\$23?\)
1) The price of the cheapest of the \(3\) products is at least \($8\)
2) The price of the second cheapest of the \(3\) products is at least \($12\)
The OA is D
- by swerve
Thu Oct 17, 2024 2:50 pm- Forum: Data Sufficiency
- Topic: Is the total of the sales prices of \(3\) products greater than \(\$23?\)
- Replies: 0
- Views: 107
Runners \(X\) and \(Y\) started an \(18\)-mile race at the same time. Runner \(X\) completed the course in \(6\) hours,
Problem Solving
Runners \(X\) and \(Y\) started an \(18\)-mile race at the same time. Runner \(X\) completed the course in \(6\) hours,
Runners \(X\) and \(Y\) started an \(18\)-mile race at the same time. Runner \(X\) completed the course in \(6\) hours, and Runner \(Y\) finished \(2\) hours earlier. Runner \(Y\) ran an average of how many miles per hour faster than Runner \(X?\) A. \(1\) B. \(1\dfrac{1}{2}\) C. \(2\dfrac{1}{4}\) D...
- by swerve
Thu Oct 17, 2024 2:42 pm- Forum: Problem Solving
- Topic: Runners \(X\) and \(Y\) started an \(18\)-mile race at the same time. Runner \(X\) completed the course in \(6\) hours,
- Replies: 0
- Views: 90