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In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\) where \(abc \neq 0,\) has slope \(-3.\) What is the
Data Sufficiency
In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\) where \(abc \neq 0,\) has slope \(-3.\) What is the
In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\) where \(abc \neq 0,\) has slope \(-3.\) What is the value of \(b?\)
1) \(a = 2\)
2) \(c = 5/2\)
OA A
- by AAPL
Wed Jun 11, 2025 7:14 am- Forum: Data Sufficiency
- Topic: In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\) where \(abc \neq 0,\) has slope \(-3.\) What is the
- Replies: 0
- Views: 16
In the rectangular coordinate system above, the area of triangular region \(PQR\) is
Problem Solving
In the rectangular coordinate system above, the area of triangular region \(PQR\) is
A. \(\dfrac{ac}{2}\)
B. \(\dfrac{(c-a)(b-d)}{2}\)
C. \(\dfrac{(c+a)(b+d)}{2}\)
D. \(\dfrac{c(b-d)}{2}\)
E. \(\dfrac{c(b+d)}{2}\)
OA B
- by AAPL
Wed Jun 11, 2025 7:06 am- Forum: Problem Solving
- Topic: In the rectangular coordinate system above, the area of triangular region \(PQR\) is
- Replies: 0
- Views: 17
If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
Data Sufficiency
If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
1) Equation of line \(AB\) is \(y=4\) and equation of line \(BC\) is \(x=3\)
2) All three points \(A, B, C\) lie in first quadrant only
OA E
- by AAPL
Wed Jun 11, 2025 6:59 am- Forum: Data Sufficiency
- Topic: If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
- Replies: 0
- Views: 11
In the standard \((x, y)\) coordinate plane, which of the following is the center of the ellipse
Problem Solving
In the standard \((x, y)\) coordinate plane, which of the following is the center of the ellipse
In the standard \((x, y)\) coordinate plane, which of the following is the center of the ellipse \(2(x+3)^2+3(y-4)^2=15?\)
A. \((-3,4)\)
B. \((-2,-3)\)
C. \((3,-4)\)
D. \((4,3)\)
E. \((6,–12)\)
OA A
- by AAPL
Wed Jun 11, 2025 6:48 am- Forum: Problem Solving
- Topic: In the standard \((x, y)\) coordinate plane, which of the following is the center of the ellipse
- Replies: 0
- Views: 12
What is the one-thousandth term in sequence \(S?\)
What is the one-thousandth term in sequence \(S?\)
1. The fifth term in \(S\) is \(47\)
2. Each term in \(S\) following the first term is generated by multiplying the preceding term by \(4\) and adding \(1\)
OA C
- by AAPL
Wed Jun 04, 2025 6:50 pm- Forum: Data Sufficiency
- Topic: What is the one-thousandth term in sequence \(S?\)
- Replies: 0
- Views: 152
If the product of \(3\) consecutive integers is \(210,\) then the sum of the two smaller integers is?
Problem Solving
If the product of \(3\) consecutive integers is \(210,\) then the sum of the two smaller integers is?
If the product of \(3\) consecutive integers is \(210,\) then the sum of the two smaller integers is?
A. \(5\)
B. \(11\)
C. \(12\)
D. \(13\)
E. \(18\)
OA B
- by AAPL
Wed Jun 04, 2025 6:41 pm- Forum: Problem Solving
- Topic: If the product of \(3\) consecutive integers is \(210,\) then the sum of the two smaller integers is?
- Replies: 0
- Views: 102
Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of
Data Sufficiency
Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of
Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of \(N?\)
1. The first term is \(18\)
2. The last term is \(70\)
OA C
- by AAPL
Wed Jun 04, 2025 6:28 pm- Forum: Data Sufficiency
- Topic: Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of
- Replies: 0
- Views: 99
If \(x\) and \(y\) are perfect squares, then which one of the following is not necessarily a perfect square?
Problem Solving
If \(x\) and \(y\) are perfect squares, then which one of the following is not necessarily a perfect square?
If \(x\) and \(y\) are perfect squares, then which one of the following is not necessarily a perfect square?
A. \(x^2\)
B. \(xy\)
C. \(4x\)
D. \(x+y\)
E. \(x^5\)
OA D
- by AAPL
Wed Jun 04, 2025 6:21 pm- Forum: Problem Solving
- Topic: If \(x\) and \(y\) are perfect squares, then which one of the following is not necessarily a perfect square?
- Replies: 0
- Views: 129
In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members
Data Sufficiency
In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members
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 AAPL
Wed May 28, 2025 5:42 pm- Forum: Data Sufficiency
- Topic: In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members
- Replies: 0
- Views: 138
There are \(5,280\) feet in \(1\) mile and \(12\) inches in one foot. How many inches are in a mile?
Problem Solving
There are \(5,280\) feet in \(1\) mile and \(12\) inches in one foot. How many inches are in a mile?
There are \(5,280\) feet in \(1\) mile and \(12\) inches in one foot. How many inches are in a mile?
A. \(5,280 - 12\)
B. \(5,280/12\)
C. \(12(5,280)\)
D. \(12^{2(5,280)}\)
E. \(12/5,280\)
OA C
- by AAPL
Wed May 28, 2025 5:29 pm- Forum: Problem Solving
- Topic: There are \(5,280\) feet in \(1\) mile and \(12\) inches in one foot. How many inches are in a mile?
- Replies: 0
- Views: 133
Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by
Data Sufficiency
Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by
1. \(x = 7\)
2. \(t = 5\)
OA D
- by AAPL
Wed May 28, 2025 5:22 pm- Forum: Data Sufficiency
- Topic: Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by
- Replies: 0
- Views: 122
George tried to compute the mean average of his \(8\) test scores. He mistakenly divided the correct sum of all of his
Problem Solving
George tried to compute the mean average of his \(8\) test scores. He mistakenly divided the correct sum of all of his
George tried to compute the mean average of his \(8\) test scores. He mistakenly divided the correct sum of all of his test scores by \(7\) and got an average of \(96.\) What is George's actual mean test score?
A. \(80\)
B. \(84\)
C. \(96\)
D. \(100\)
E. \(108\)
OA B
- by AAPL
Wed May 28, 2025 5:13 pm- Forum: Problem Solving
- Topic: George tried to compute the mean average of his \(8\) test scores. He mistakenly divided the correct sum of all of his
- Replies: 0
- Views: 127
Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\)
Data Sufficiency
Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\)
Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\) started at the finish line for Racing Car \(B\) and Racing Car \(B\) started at the finish line for Racing Car \(A.\) Which car had the faster average speed? 1) Racing Car \(B\)'s driv...
- by AAPL
Thu May 22, 2025 4:47 pm- Forum: Data Sufficiency
- Topic: Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\)
- Replies: 0
- Views: 253
The rowing speed of a man in still water is \(7.5\,\text{kmph.}\) In a river flowing at \(1.5\,\text{kmph,}\) it takes
Problem Solving
The rowing speed of a man in still water is \(7.5\,\text{kmph.}\) In a river flowing at \(1.5\,\text{kmph,}\) it takes
The rowing speed of a man in still water is \(7.5\,\text{kmph.}\) In a river flowing at \(1.5\,\text{kmph,}\) it takes the same boatman \(50\) minutes to row a certain distance and come back. Find the distance (one way). A. \(1\,\text{km}\) B. \(2\,\text{km}\) C. \(3\,\text{km}\) D. \(4\,\text{km}\)...
- by AAPL
Thu May 22, 2025 4:30 pm- Forum: Problem Solving
- Topic: The rowing speed of a man in still water is \(7.5\,\text{kmph.}\) In a river flowing at \(1.5\,\text{kmph,}\) it takes
- Replies: 0
- Views: 305
How many hours did it take Dale to drive from \(A\)-town to \(B\)-town?
How many hours did it take Dale to drive from \(A\)-town to \(B\)-town?
1) If Dale’s average speed for the trip had been three times as fast, the trip would have taken \(2\) hours
2) The distance from \(A\)-town to \(B\)-town is \(100\) miles
OA A
- by AAPL
Thu May 22, 2025 4:21 pm- Forum: Data Sufficiency
- Topic: How many hours did it take Dale to drive from \(A\)-town to \(B\)-town?
- Replies: 0
- Views: 448