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Distance And Speed Problems, Geometry

Two airplanes take off from one airfield at noon. One flies due east at \(200\) miles per hour while the other flies directly northeast at \(283\) miles per hour. Approximately how many miles apart are the airplanes at \(2 p.m.?\)

A. \(166\)
B. \(332\)
C. \(400\)
D. \(483\)
E. \(566\)

The OA is C

by swerve

Wed Jul 10, 2024 5:08 pm
Forum: Problem Solving
Topic: Distance And Speed Problems, Geometry
Replies: 0
Views: 166

Probability

A group of \(30\) people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen? 1. The probability that a man is chosen is \(50\%\) greater than the probability that a chil...

by swerve

Wed Jul 10, 2024 4:53 pm
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 51

Distance And Speed Problems

A certain train is traveling at a constant rate. If the train travels \(s\) miles in \(t\) hours, in how many hours will the train travel \(y\) miles?

A. \(\dfrac{sy}{t}\)

B. \(\dfrac{st}{y}\)

C. \(\dfrac{ty}{s}\)

D. \(\dfrac{s}{ty}\)

E. \(\dfrac{s+y}{t}\)

The OA is C

by swerve

Wed Jul 10, 2024 4:32 pm
Forum: Problem Solving
Topic: Distance And Speed Problems
Replies: 0
Views: 69

Percent And Interest Problems

How much is \(10\) percent of a number?

1. \(20\) percent of the number is \(40\)

2. \(50\) percent of the number is \(100\)

The OA is D

by swerve

Tue Jul 02, 2024 6:37 am
Forum: Data Sufficiency
Topic: Percent And Interest Problems
Replies: 0
Views: 196

Min-Max Problems, Percent And Interest Problems, Word Problems

Of the \(200\) math majors at a certain university, \(30\) percent will be assigned to advanced calculus on Monday and Wednesday and the remaining \(70\) percent will be assigned to advanced calculus on Tuesday and Thursday. However, \(40\) percent of the math majors prefer Tuesday and Thursday and ...

by swerve

Tue Jul 02, 2024 6:28 am
Forum: Problem Solving
Topic: Min-Max Problems, Percent And Interest Problems, Word Problems
Replies: 0
Views: 75

Percent And Interest Problems, Word Problems

Jay's net income equals his gross income minus his deductions. By what percent did Jay's net income change as of December \(31\), when both his gross income and his deductions increased? 1. Jay's gross income increased by \(8\) percent on December \(31\) 2. Jay's deductions increased by \(16\) perce...

by swerve

Tue Jul 02, 2024 6:12 am
Forum: Data Sufficiency
Topic: Percent And Interest Problems, Word Problems
Replies: 0
Views: 73

Percent And Interest Problems

In the modern era, the global population of humans has increased by \(1\) billion people approximately every \(13\) years. If that rate were to continue, approximately how many years would it take for the Earth’s population to double from its current population of \(7\) billion people? A. \(26\) B. ...

by swerve

Tue Jul 02, 2024 5:59 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 71

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: 180

Geometry

123.jpg
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: 125

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: 482

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: 181

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: 216

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: 110

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: 204

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: 215