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Fractions and Ratios

What fraction of the cookies in a certain bakery’s window display contains nuts?

1. Of the cookies in the display, \(22\) contain nuts

2. Of the cookies in the display, \(90\%\) do not contain nuts

The OA is B

by swerve

Sat Jun 14, 2025 12:43 pm
Forum: Data Sufficiency
Topic: Fractions and Ratios
Replies: 0
Views: 13

Fractions and Ratios

A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of \(2{:}3{:}7\) respectively. If a bowl of this punch contains \(21\) ounces of orange juice, how many ounces of pineapple juice does it contain A. \(12\) B. \(14\) C. \(21\) D. \(49\) E. \(8...

by swerve

Sat Jun 14, 2025 12:37 pm
Forum: Problem Solving
Topic: Fractions and Ratios
Replies: 0
Views: 10

Fractions and Ratios

Assume that at a particular zoo, \(2/5\) of all the animals are mammals, and \(2/3\) of the mammals are allowed to interact directly with the public. If \(24\) mammals are allowed to interact directly with the public, how many animals in this zoo are NOT mammals? A. \(36\) B. \(48\) C. \(54\) D. \(6...

by swerve

Sat Jun 14, 2025 12:24 pm
Forum: Problem Solving
Topic: Fractions and Ratios
Replies: 0
Views: 11

Fractions and Ratios, Word Problems

A container has red, blue, and green balls, and the number of green balls is less than \(15.\) How many green balls are in the container?

1. The ratio of red to blue balls is \(6\) to \(5\)

2. There are twice as many green balls as red balls in the container

The OA is C

by swerve

Sat Jun 14, 2025 12:18 pm
Forum: Data Sufficiency
Topic: Fractions and Ratios, Word Problems
Replies: 0
Views: 18

Fractions and Ratios

In the repeating decimal \(0.0157901579\ldots\) , the \(29^{th}\) digit to the right of the decimal point is

A. \(0\)
B. \(1\)
C. \(5\)
D. \(7\)
E. \(9\)

The OA is D

by swerve

Sat Jun 14, 2025 12:06 pm
Forum: Problem Solving
Topic: Fractions and Ratios
Replies: 0
Views: 8

Must or Could be True Questions, Percent and Interest Problems

If toaster \(X\) costs \(10\) percent more than toaster \(Y\) costs, which of the following COULD be true? I. Toaster \(Y\) costs \(\$10\) less than toaster \(X\) costs II. Toaster \(X \)costs \(\$20\) more than toaster \(Y\) costs III. Toaster \(Y\) costs \(10\) percent less than toaster \(X\) cost...

by swerve

Sun Jun 08, 2025 8:41 am
Forum: Problem Solving
Topic: Must or Could be True Questions, Percent and Interest Problems
Replies: 0
Views: 174

Do at least \(24\) percent of Loral business school students aspire to do masters in economics?

Do at least \(24\) percent of Loral business school students aspire to do masters in economics? 1. In the school, the ratio of male students to female students is \(6:11\) 2. In the school, of the total number of students, \(35\) percent of the male students and \(25\) percent of female students asp...


Percent and Interest Problems

Jack purchased a phone for \(\$1,500\) and paid tax at the rate of \(5\) percent, while Tom purchased a phone for \(\$1,200\) and paid tax at the rate of \(15\) percent. The total amount Tom paid was what percent less than the total amount Jack paid? A. \(5\%\) B. \(7\%\) C. \(9\%\) D. \(12\%\) E. \...

by swerve

Sun Jun 08, 2025 7:51 am
Forum: Problem Solving
Topic: Percent and Interest Problems
Replies: 0
Views: 69

Coordinate Geometry

What is the equation of the line that is the perpendicular bisector of the line segment connecting points \((4, -2)\) and \((-3, 5)\) in the \(xy\)-plane?

A. \(y=-x+\dfrac{3}{2}\)

B. \(y=x+\dfrac{1}{2}\)

C. \(y=\dfrac{3}{2}x-1\)

D. \(y=-x+2\)

E. \(y=x+1\)

The OA is E

by swerve

Sat May 31, 2025 7:26 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 168

Coordinate Geometry

image017.jpg
A circle with center \((1, 0)\) and radius \(2\) lies in the coordinate plane shown above. If point \((x, y)\) lies on the circle, is \((x, y)\) in quadrant \(2?\)

1. \(|y| > 1\)

2. \(|x| > 1\)

The OA is B

by swerve

Sat May 31, 2025 7:12 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 126

Coordinate Geometry

Which of the following equations defines a function containing the \((x, y)\) pairs \((-1, -1)\) and \((-1/2, 0)?\)

A. \(y=3x+2\)

B. \(y=2x+1\)

C. \(y=6x+5\)

D. \(y=-4x-2\)

E. \(y=4x+3\)

The OA is B

by swerve

Sat May 31, 2025 6:59 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 112

Coordinate Geometry

Find area of a right triangle with one vertex at the origin and side parallel to \(Y\)-axis?

1. One of the vertex of triangle has coordinates \((6,0)\)
2. One of the vertex of triangle has coordinates \((6,8)\)

The OA is B

by swerve

Sat May 31, 2025 6:50 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 110

Coordinate Geometry

In the figure below, \(M\) is the midpoint of \(RS.\) What is the area of triangle \(MOP?\)

2020-12-21_21-11-52.png
A. \(\sqrt{7}\)
B. \(3\)
C. \(3.5\)
D. \(4\)
E. \(4.5\)

The OA is E

by swerve

Sat May 31, 2025 6:40 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 129

Statistics and Sets Problems

The average of a certain set of numbers is \(20\) and its range is \(20.\) By adding one more number to the set, we obtain set \(S.\) Is the range of set \(S\) greater than \(20?\)

1) The number we have added is \(32\)

2) The average of set \(S\) is \(24\)

The OA is B

by swerve

Sun May 25, 2025 10:29 am
Forum: Data Sufficiency
Topic: Statistics and Sets Problems
Replies: 0
Views: 240

Statistics and Sets Problems

What is the product of the average (arithmetic mean) and the median of the set composed of the distinct prime factors of \(4,095?\)

A. \(25\)
B. \(28\)
C. \(31\)
D. \(35\)
E. \(42\)

The OA is E

by swerve

Sun May 25, 2025 10:20 am
Forum: Problem Solving
Topic: Statistics and Sets Problems
Replies: 0
Views: 174