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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: 24

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: 12

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...


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: 10

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: 22

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: 35

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: 33

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: 34

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: 27

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


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: 28

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: 29

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: 24

Coordinate Geometry, Functions And Custom Characters

2019-04-17_1135.png
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: 87

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...