Search found 2226 matches
Distance/Rate Problems
An air-powered rifle was shot at \(2\) different targets. What was the average speed of the two bullets?
1) One target was \(600\) feet farther away than the other target
2) A bullet was \(300\) feet away in \(0.5\) seconds
The OA is E
- by swerve
Wed Jan 17, 2024 6:04 pm- Forum: Data Sufficiency
- Topic: Distance/Rate Problems
- Replies: 0
- Views: 47
Coordinate Geometry
In the \(XY\) coordinate plane, lines \(l_1\) and \(l_2\) intersect at \((2, 4).\) If the equation of \(l_1\) is \(y=px+16\) and the equation of \(l_2\) is \(y=mx+p,\) where \(m\) and \(p\) are constants, what is the value of \(m?\)
A. \(1/5\)
B. \(1\)
C. \(3\)
D. \(5\)
E. \(7\)
The OA is D
- by swerve
Wed Jan 17, 2024 5:51 pm- Forum: Problem Solving
- Topic: Coordinate Geometry
- Replies: 0
- Views: 50
Combinations
In how many ways can the first and second prize in History be awarded to \(15\) students?
A. \(190\)
B. \(195\)
C. \(205\)
D. \(210\)
E. \(225\)
The OA is D
- by swerve
Fri Jan 12, 2024 12:03 pm- Forum: Problem Solving
- Topic: Combinations
- Replies: 0
- Views: 95
Combinations
There are \(12\) empty seats in a row of a theater. In how many ways can \(3\) people be seated in the row?
A. \(6\)
B. \(12\)
C. \(60\)
D. \(220\)
E. \(1320\)
The OA is E
- by swerve
Fri Jan 12, 2024 11:48 am- Forum: Problem Solving
- Topic: Combinations
- Replies: 0
- Views: 74
Coordinate Geometry, Geometry
1) \(A=(3,4)\)
2) The diameter of the circle is \(10\)
The OA is D
- by swerve
Fri Jan 12, 2024 11:37 am- Forum: Data Sufficiency
- Topic: Coordinate Geometry, Geometry
- Replies: 0
- Views: 28
Combinations
How many \(3\)-digit integers can be chosen such that none of the digits appear more than twice, and none of the digits equal to \(0?\)
A. \(729\)
B. \(720\)
C. \(648\)
D. \(640\)
E. \(576\)
The OA is B
- by swerve
Fri Jan 12, 2024 11:27 am- Forum: Problem Solving
- Topic: Combinations
- Replies: 0
- Views: 76
Percent And Interest Problems
If during a one-day period the \(Q\) train arrives at the station \(30\%\) less frequently than the \(B\) train, and the \(B\) train arrives \(10\%\) less frequently than the \(F\) train, then the \(Q\) train’s frequency is what percent of the \(F\) train’s frequency? A. \(27\) B. \(40\) C. \(60\) D...
- by swerve
Thu Jan 04, 2024 4:54 pm- Forum: Problem Solving
- Topic: Percent And Interest Problems
- Replies: 0
- Views: 60
Probability
Rosalie tosses a coin a number of times and counts the total number of times the coin lands tail-side up. How many times does she toss the coin? 1. The chance that the coin lands tail-side up exactly once is between \(0.1\) and \(0.2\) 2. The chance that the coin lands head side up exactly once is t...
- by swerve
Thu Jan 04, 2024 4:43 pm- Forum: Data Sufficiency
- Topic: Probability
- Replies: 0
- Views: 131
Percent And Interest Problems
Following an increase in prices, the price of a candy box was \(10\) pounds and the price of a can of soda was \(6\) pounds. If the price of a candy box was raised by \(25\%\), and the price of a can of soda was raised by \(50\%\). What was the price of a box of candy plus a can of soda before price...
- by swerve
Thu Jan 04, 2024 4:36 pm- Forum: Problem Solving
- Topic: Percent And Interest Problems
- Replies: 0
- Views: 53
Coordinate Geometry
Two lines represented by the equations \(y=x+1\) and \(y=2x+3\) intersect at point \(P\). What are the coordinates of \(P?\)
A. \((-2, -1)\)
B. \((-1, 2)\)
C. \((1, -2)\)
D. \((2, -1)\)
E. \((1, 2)\)
The OA is A
- by swerve
Wed Dec 27, 2023 9:03 am- Forum: Problem Solving
- Topic: Coordinate Geometry
- Replies: 0
- Views: 45
Coordinate Geometry
In the \(xy\)-plane, the coordinates of two vertexes of a parallelogram are \((3,8)\) and \((3,12)\). What are the coordinates of the fourth vertex?
1. The coordinates of the third vertex are \((6,9)\)
2. The coordinates of the fourth vertex are positive
The OA is E
- by swerve
Wed Dec 27, 2023 8:56 am- Forum: Data Sufficiency
- Topic: Coordinate Geometry
- Replies: 0
- Views: 48
Coordinate Geometry
The straight lines \(3x - 4y + 4 = 0\) and \(6x - 8y - 7 = 0\) are tangents to the same circle, then the radius of this circle is
A. \(1/4\)
B. \(3/4\)
C. \(4/3\)
D. \(5/3\)
E. \(2\)
The OA is B
- by swerve
Wed Dec 27, 2023 8:44 am- Forum: Problem Solving
- Topic: Coordinate Geometry
- Replies: 0
- Views: 58
Distance/Rate Problems
Adrian drove from Springfield to Greenville at a rate of \(100\) kilometers per hour. Then, he halved his speed to \(50\) kilometers per hour, and drove from Greenville to Wilmington. If the distance between Greenville and Wilmington is twice the distance from Springfield to Greenville, what was Adr...
- by swerve
Wed Dec 20, 2023 4:37 pm- Forum: Problem Solving
- Topic: Distance/Rate Problems
- Replies: 0
- Views: 42
Distance/Rate Problems
Brian takes a weekend trip to visit a friend. What is his average rate for the there-and-back trip?
1. Brian took the same route for both segments
2. Brian averaged \(80 \text{mph }\) for the first segment and \(50 \text{ mph}\) for the second segment
The OA is C
- by swerve
Wed Dec 20, 2023 4:27 pm- Forum: Data Sufficiency
- Topic: Distance/Rate Problems
- Replies: 0
- Views: 46
Distance/Rate Problems, Word Problems
On a \(20 \,\text{km}\) tunnel connecting two cities \(A\) and \(B\) there are three gutters. The distance between gutter \(1\) and \(2\) is half the distance between gutter \(2\) and \(3\). The distance from city \(A\) to its nearest gutter, gutter \(1\) is equal to the distance of city \(B\) from ...
- by swerve
Wed Dec 20, 2023 4:15 pm- Forum: Problem Solving
- Topic: Distance/Rate Problems, Word Problems
- Replies: 0
- Views: 44