Search found 2229 matches
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: 28
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: 58
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: 53
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: 65
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: 40
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: 27
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: 41
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: 41
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: 27
Coordinate Geometry, Functions And Custom Characters
The graph above shows a parabola that is symmetric about the \(x\)-axis. Which one of the following could be the equation of the graph?
A. \(x = -y^2 − 1\)
B. \(x = -y^2\)
C. \(x = -y^2 + 1\)
D. \(x = y^2 -1\)
E. \(x = (y + 1)^2\)
The OA is A
- by swerve
Thu Feb 15, 2024 7:34 am- Forum: Problem Solving
- Topic: Coordinate Geometry, Functions And Custom Characters
- Replies: 0
- Views: 97
A teacher has \(120\) pens, consisting of \(72\) black pens and \(48\) red pens. The teacher wants to put together
Problem Solving
A teacher has \(120\) pens, consisting of \(72\) black pens and \(48\) red pens. The teacher wants to put together
A teacher has \(120\) pens, consisting of \(72\) black pens and \(48\) red pens. The teacher wants to put together packets for her students in which she uniformly distributes the black and red pens among the packets so that none of the pens are left over and all the packets have the same ratio of bl...
- by swerve
Mon Feb 05, 2024 12:55 pm- Forum: Problem Solving
- Topic: A teacher has \(120\) pens, consisting of \(72\) black pens and \(48\) red pens. The teacher wants to put together
- Replies: 0
- Views: 47
Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels.
Data Sufficiency
Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels.
Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels. If Anthony can purchase only specialty bagels or packages of plain bagels, did Anthony purchase any plain bagels? 1) Anthony spent less than \(\$32.00\) 2) Anthony spent more than...
- by swerve
Mon Feb 05, 2024 12:34 pm- Forum: Data Sufficiency
- Topic: Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels.
- Replies: 0
- Views: 42
Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has \(B\) marbles and Joe has
Problem Solving
Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has \(B\) marbles and Joe has
Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has \(B\) marbles and Joe has \(J\) marbles, which of the following is a possible value for \(B?\) I. \(10\) II. \(18\) III. \(49\) A. I only B. II only C. III only D. I and III only E. I, II, and III The OA i...
- by swerve
Mon Feb 05, 2024 12:28 pm- Forum: Problem Solving
- Topic: Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has \(B\) marbles and Joe has
- Replies: 0
- Views: 46
Arithmetic, Percent And Interest Problems
John received a raise in his fixed salary in April \(2017\) over March \(2017.\) Was the raise in his fixed salary greater than \(20\%?\)
1. John's fixed salary in March \(2017\) was less than \(\$4200\)
2. John received a raise of \(\$910\) in his fixed salary in April \(2017\)
The OA is C
- by swerve
Mon Jan 29, 2024 11:56 am- Forum: Data Sufficiency
- Topic: Arithmetic, Percent And Interest Problems
- Replies: 0
- Views: 48
Arithmetic, Word Problems
Tom's movers charge \(\$100\) per hour for their moving services with a \(25\%\) discounted hourly rate after \(4\) hours. How long did Maria's move take if her total bill was \(\$565.00?\) A. \(6\) hours, \(12\) minutes B. \(6\) hours, \(45\) minutes C. \(7\) hours D. \(7\) hours, \(10\) minutes E....
- by swerve
Mon Jan 29, 2024 11:51 am- Forum: Problem Solving
- Topic: Arithmetic, Word Problems
- Replies: 0
- Views: 49