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Arithmetic, Exponents

For which of the following values of \(n\) is \((-0.5)^n\) the greatest?

A. \(5\)
B. \(4\)
C. \(3\)
D. \(2\)
E. \(1\)

The OA is D

by swerve

Sat Jun 15, 2024 3:11 pm
Forum: Problem Solving
Topic: Arithmetic, Exponents
Replies: 0
Views: 26

Geometry

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If \(wxyz ≠ 0\), in what quadrant of the coordinate system above does point \((x, y)\) lie?

1) \((x, z)\) lies in quadrant I

2) \((w, y)\) lies in quadrant III

The OA is C

by swerve

Sat Jun 15, 2024 2:54 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 32

Exponents, Multiples And Factors

What is the greatest integer, \(k\), such that \(5^k\) is a factor of the product of the integers from \(1\) through \(24\), inclusive?

A. \(1\)
B. \(2\)
C. \(3\)
D. \(4\)
E. \(5\)

The OA is D

by swerve

Sat Jun 15, 2024 2:46 pm
Forum: Problem Solving
Topic: Exponents, Multiples And Factors
Replies: 0
Views: 47

Arithmetic

A team played more than \(50\) and less than \(60\) matches in an entire year. Each match ended in either a win or a loss for this team. Did this team play more than \(55\) matches in that year? 1) The team won \(2/3\) of the first \(1/3\) of its matches played during the year 2) Out of its latter h...

by swerve

Sun Jun 09, 2024 2:12 pm
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 82

Arithmetic, Number Properties

If \(3^k\) is a divisor of the product of all even integers between \(2\) and \(30\) (inclusive), what is the maximum value of \(k?\)

A. \(4\)
B. \(6\)
C. \(10\)
D. \(13\)
E. \(14\)

The OA is B

by swerve

Sun Jun 09, 2024 2:05 pm
Forum: Problem Solving
Topic: Arithmetic, Number Properties
Replies: 0
Views: 60

Arithmetic, Distance And Speed Problems

Truck \(T_1\) gives an average of \(M_1\) miles per gallon of petrol while truck \(T_2\) gives an average of \(M_2\) miles per gallon of petrol. Both trucks travelled from a city to another, covering a distance of \(1200\) miles each in this process. What is the difference in the number of gallons o...

by swerve

Sun Jun 09, 2024 1:55 pm
Forum: Data Sufficiency
Topic: Arithmetic, Distance And Speed Problems
Replies: 0
Views: 45

Arithmetic

Ten years ago, the average age of a couple was \(27\) years old. Today also the average age of the couple and their baby is \(27\) years old. Find the present age of the baby.

A. \(4\)
B. \(3\)
C. \(2\)
D. \(5\)
E. \(7\)

The OA is E

by swerve

Sun Jun 09, 2024 1:43 pm
Forum: Problem Solving
Topic: Arithmetic
Replies: 1
Views: 52

Percent And Interest Problems

If the current price per gallon of gas were to be decreased by approximately \(25\) percent, \(10\) more gallons could be bought for \(\$66.\) What is the current price per gallon of gas?

A. \(\$1.45\)
B. \(\$1.65\)
C. \(\$1.80\)
D. \(\$2.20\)
E. \(\$2.40\)

The OA is D

by swerve

Sun Jun 02, 2024 8:03 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 74

Distance And Speed Problems

A man travelled from one city to another. What is the distance between the two cities? 1. He travelled the first \(1/4\) of his distance at a uniform speed of \(15\) miles per hour. Thereafter, he increased his speed to \(20\) miles per hour 2. The time for which he travelled at \(20\) miles per hou...

by swerve

Sun Jun 02, 2024 7:54 am
Forum: Data Sufficiency
Topic: Distance And Speed Problems
Replies: 0
Views: 57

Percent And Interest Problems

In a certain city, the average income for a family of four rose from \(\$12,200\) in \(1980\) to \(\$16,300\) in \(1986.\) This represents an increase of approximately

A. \(4\%\)
B. \(25\%\)
C. \(33 1/3 \%\)
D. \(40\%\)
E. \(60\%\)

The OA is C

by swerve

Sun Jun 02, 2024 7:42 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 74

Coordinate Geometry

In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates \((-4, 1), (1, 1), (1, -3)\) and \((-4, -3)?\)

A. \(16\)
B. \(20\)
C. \(24\)
D. \(25\)
E. \(30\)

The OA is B

by swerve

Sat May 25, 2024 9:58 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 127

Coordinate Geometry

Does the parabola \(y=mx^2+4mnx+4n,\) where \(m\) and \(n\) are constants, intersect the \(x\)-axis?

1. \(mn > 1\)

2. \(m > n\)

The OA is A

by swerve

Sat May 25, 2024 9:46 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 119

Coordinate Geometry

What is the shortest distance between the following \(2\) lines: \(x + y = 3\) and \(2x + 2y = 8?\)

A. \(0\)
B. \(1/4\)
C. \(1/2\)
D. \(\sqrt{2}/2\)
E. \(\sqrt{2}/4\)

The OA is D

by swerve

Sat May 25, 2024 9:35 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 115

Distance Problems

A stretch of land measuring \(50 \text{ m}\) in length is covered with wall on sides. If \(2*2 *2 \text{ m}\) boxes are to placed at equal interval of \(5\text{ m}\) from each other and at least \(5 \text{ m}\) from the walls, how many boxes can be placed in entire length of \(50\text{ m}?\) A. \(6\...

by swerve

Sun May 19, 2024 2:17 pm
Forum: Problem Solving
Topic: Distance Problems
Replies: 0
Views: 105

Word Problems

Did Jennifer spend more than \(x\) dollars at her favorite sushi restaurant, including the tip?

1) Jennifer left a tip equal to \(20\) percent of the cost of the meal

2) Jennifer's meal cost \((x - 10)\) dollars excluding the tip

The OA is E

by swerve

Sun May 19, 2024 2:01 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 141