Search found 2235 matches
Coordinate Geometry
Line \(L\) passes through the points \(A\) and \(B\) having coordinates \((p,q)\) and \((r,s)\), respectively. Is the slope of the line \(L\) positive?
1. \(p < 0\) and \(q < 0\)
2. \(r > 0\) and \(s < 0\)
The OA is E
- by swerve
Fri Mar 29, 2024 5:54 am- Forum: Data Sufficiency
- Topic: Coordinate Geometry
- Replies: 0
- Views: 65
Fractions/Ratios/Decimals, Percent And Interest Problems
If \(55\) percent of the people who purchase a certain product are female, what is the ratio of the number of females who purchase the product to the number of males who purchase the product? A. \(\dfrac{11}{9}\) B. \(\dfrac{10}{9}\) C. \(\dfrac{9}{10}\) D. \(\dfrac{9}{11}\) E. \(\dfrac{5}{9}\) The ...
- by swerve
Fri Mar 29, 2024 5:37 am- Forum: Problem Solving
- Topic: Fractions/Ratios/Decimals, Percent And Interest Problems
- Replies: 0
- Views: 80
Word Problems
Robin and Barney, the guitarist and bassist, respectively, of a popular band, signed autographs after a concert, as did the singer and drummer. If Robin and Barney signed a total of \(1,500\) autographs, how many autographs did Barney sign? 1. Robin signed one-fourth of the total number of autograph...
- by swerve
Fri Mar 15, 2024 4:37 pm- Forum: Data Sufficiency
- Topic: Word Problems
- Replies: 0
- Views: 176
Algebra, Word Problems
The square of an even number equals \(6\) less than \(5\) times the number. Which of the following is the square of the number?
A. \(2\)
B. \(3\)
C. \(4\)
D. \(6\)
E. \(9\)
The OA is C
- by swerve
Fri Mar 15, 2024 4:29 pm- Forum: Problem Solving
- Topic: Algebra, Word Problems
- Replies: 0
- Views: 162
The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained
Data Sufficiency
The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained
The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained by three students with the lowest marks in the same test? 1) If the lowest three marks were excluded, the average score of the class would have increased by three. 2) \(m = 2x\) Th...
- by swerve
Fri Mar 15, 2024 4:24 pm- Forum: Data Sufficiency
- Topic: The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained
- Replies: 0
- Views: 130
Percent And Interest Problems, Word Problems
During one day, a door-to-door brick salesman sold three fourths of his bricks for \($0.25\) each. If he had \(150\) bricks left at the end of the day, how much money did he collect for brick sale that day?
A. \(\$12.50\)
B. \(\$37.50\)
C. \(\$50.00\)
D. \(\$112.50\)
E. \(\$150.00\)
The OA is D
- by swerve
Fri Mar 15, 2024 4:15 pm- Forum: Problem Solving
- Topic: Percent And Interest Problems, Word Problems
- Replies: 0
- Views: 174
Number Properties, Remainders
A certain carton holds fewer than \(50\) books. What is the number of books in the carton? 1. The books in the carton can be divided into \(3\) stacks of \(X\) books each, with \(2\) books left over 2. The books in the carton can be divided into \(Y\) stacks of \(7\) books each, with \(2\) books lef...
- by swerve
Sun Mar 03, 2024 9:57 am- Forum: Data Sufficiency
- Topic: Number Properties, Remainders
- Replies: 0
- Views: 127
Remainders
If \(p\) and \(q\) are positive integers. If \(p\) is divided by \(2,\) the remainder is \(1;\) and if \(q\) is divided by \(6,\) the remainder is \(1.\) Which of the following must be true? I. \(pq + 1\) is even II. \(pq/2\) is an integer III. \(pq\) is a multiple of \(12\) A. I only B. II only C. ...
- by swerve
Sun Mar 03, 2024 9:52 am- Forum: Problem Solving
- Topic: Remainders
- Replies: 0
- Views: 154
Remainders
What is the remainder when the positive integer \(X\) is divided by \(12?\)
1. When \(X\) is divided by \(3\) the remainder is \(2\)
2. When \(X\) is divided by \(4\) the remainder is \(3\)
The OA is C
- by swerve
Sun Mar 03, 2024 9:39 am- Forum: Data Sufficiency
- Topic: Remainders
- Replies: 0
- Views: 150
Remainders
A number when successively divided by \(3, 5\) and \(8\) leaves remainders \(1, 4\) and \(7\) respectively. Find the respective remainders when the order of the divisors is reversed.
A. \(8, 5, 3\)
B. \(4, 2, 1\)
C. \(3, 2, 1\)
D. \(6, 4, 2\)
E. None of the above
The OA is D
- by swerve
Sun Mar 03, 2024 9:31 am- Forum: Problem Solving
- Topic: Remainders
- Replies: 0
- Views: 159
Distance/Rate Problems, Word Problems
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
Wed Feb 21, 2024 6:05 pm- Forum: Problem Solving
- Topic: Distance/Rate Problems, Word Problems
- Replies: 0
- Views: 138
Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems
If Danielle ran a race at a constant speed, at what time did she finish?
1. Danielle started the race at \(8{:}00 \,\text{a.m.}\)
2. At \(9{:}30 \,\text{a.m.}\) Danielle was halfway through the race, and at \(10{:}00\, \text{a.m.}\), she was \(2/3\) of the way through the race
The OA is B
- by swerve
Wed Feb 21, 2024 5:57 pm- Forum: Data Sufficiency
- Topic: Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems
- Replies: 0
- Views: 123
Distance/Rate Problems
Ramesh and Suresh both ran a \(30\) mile marathon. Ramesh ran \(10\) miles at \(10\,\text{mph}\) and the the remaining \(20\) miles at \(5\,\text{mph}\). Suresh ran one third (by time) of the marathon at \(10\,\text{mph}\) and the remaining two thirds at \(5\,\text{mph}\). Which of the following mus...
- by swerve
Wed Feb 21, 2024 5:42 pm- Forum: Problem Solving
- Topic: Distance/Rate Problems
- Replies: 0
- Views: 141
Combinations, Coordinate Geometry
A \(16\)-step path is to go from \((-4,-4)\) to \((4,4)\) with each step increasing either the \(x\)-coordinate or the \(y\)-coordinate by \(1.\) How many such paths stay outside or on the boundary of the square \(-2 \leq x \leq 2,\) \(-2 \leq y \leq 2\) at each step? A. \(92\) B. \(144\) C. \(1,568...
- by swerve
Thu Feb 15, 2024 7:55 am- Forum: Problem Solving
- Topic: Combinations, Coordinate Geometry
- Replies: 0
- Views: 135
Coordinate Geometry
The slope of line n in the \(xy\)-plane is not \(0\) and the \(y\)-intercept of line n in the \(xy\)-plane is not \(0.\) The equation of line \(n\) is \(y = mx + b,\) where \(m\) and \(b\) are constants. What is the value of \(m + b?\) 1) The \(y\)-intercept is equal to the square of the \(x\)-inter...
- by swerve
Thu Feb 15, 2024 7:44 am- Forum: Data Sufficiency
- Topic: Coordinate Geometry
- Replies: 0
- Views: 137