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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: 119

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: 235

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: 236

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: 125

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: 192

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: 5041

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: 368

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: 4989

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: 244

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: 278

Word Problems

In country \(X\) a returning tourist may import goods with a total value of \(\$600\) or less tax free, but must pay a \(15\) percent tax on the portion of the total value in excess of \(\$600.\) What tax must be paid by a returning tourist who imports good with a total value of \(\$870?\) A. \(\$35...

by swerve

Sun May 19, 2024 1:47 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 291

Probability

A bag contains \(r\) red, \(g\) green, and \(w\) white marbles, where \(r, g\) and \(w\) are all positive integers. If one marble is picked randomly, is the probability that the marble is red higher than the probability that the marble is either green or white? 1) The probability of selecting a gree...

by swerve

Sun May 12, 2024 9:12 am
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 197

Overlapping Sets

All but \(4\) of the counselors on staff at a certain summer camp have sailing certification, first aid certification, or both. Twice as many counselors have neither certification as have both certifications, and \(7\) counselors have sailing certification. If there are a total of \(22\) counselors ...

by swerve

Sun May 12, 2024 8:53 am
Forum: Problem Solving
Topic: Overlapping Sets
Replies: 0
Views: 433

Arithmetic, Statistics And Sets Problems

What is the median of a set of seven different positive integers?

1) The range of the set is 6

2) The arithmetic mean of the set is 4

The OA is B

by swerve

Sun May 05, 2024 9:58 am
Forum: Data Sufficiency
Topic: Arithmetic, Statistics And Sets Problems
Replies: 0
Views: 222

Arithmetic

For which of the following expressions would the value be less if \(350\) were replaced by \(347?\)

I. \(2,500 - 350\)

II. \(\dfrac{1}{350}\)

III. \(\dfrac{1}{1+\dfrac{1}{350}}\)

A. None
B. II only
C. III only
D. I and III
E. II and III

The OA is C

by swerve

Sun May 05, 2024 9:45 am
Forum: Problem Solving
Topic: Arithmetic
Replies: 0
Views: 279