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Combinations, Probability

A fair sided die labeled \(1\) to \(6\) is tossed three times. What is the probability the sum of the \(3\) throws is \(16?\)

A. \(1/6\)
B. \(7/216\)
C. \(1/36\)
D. \(9/216\)
E. \(11/216\)

The OA is C

by swerve

Fri Dec 13, 2024 4:58 pm
Forum: Problem Solving
Topic: Combinations, Probability
Replies: 1
Views: 159

Combinations

There are exactly \(6\) teams in league \(x.\) What was the total number of games played by the \(6\) teams last season?

1. Each team in league \(x\) played each of the other teams at least once

2. No team in league \(x\) played more than \(7\) games

The OA is E

by swerve

Fri Dec 13, 2024 4:45 pm
Forum: Data Sufficiency
Topic: Combinations
Replies: 0
Views: 115

Combinations

Maia packed three skirts, two hats, and four blouses for a trip. How many different outfits consisting of one skirt, one hat, and one blouse can she make with the clothes she has packed?

A. \(12\)
B. \(16\)
C. \(20\)
D. \(24\)
E. \(32\)

The OA is D

by swerve

Fri Dec 13, 2024 4:26 pm
Forum: Problem Solving
Topic: Combinations
Replies: 0
Views: 126

Distance and Speed Problems

Gurjit started running from his home at exactly \(6\) am in the morning, ran up to a certain pole, and immediately ran back till he reached home; he never stopped once during this entire journey. Did Gurjit manage to reach back home latest by \(6{:}50\) am? 1) Gurjit reached the pole at exactly \(6{...

by swerve

Tue Dec 03, 2024 6:47 am
Forum: Data Sufficiency
Topic: Distance and Speed Problems
Replies: 0
Views: 169

Distance and Speed Problems

If Robert drove \(a\) miles in \(b\) hours, which of the following represents his average speed, in miles per hour?

A. \(\dfrac{a}{b}\)

B. \(\dfrac{b}{a}\)

C. \(\dfrac{1}{ab}\)

D. \(ab\)

E. \(a^2b\)

The OA is A

by swerve

Tue Dec 03, 2024 6:38 am
Forum: Problem Solving
Topic: Distance and Speed Problems
Replies: 0
Views: 156

Distance and Speed Problems

If Runner \(A\) followed Runner \(B\) down a portion of track that is \(1/3\) mile long, how many seconds did it take Runner \(A\) to run the track? 1) Runner \(A\) ran onto the track \(10\) seconds after Runner \(B\) ran onto the track and ran off the track \(8\) seconds after Runner \(B\) ran off ...

by swerve

Tue Dec 03, 2024 6:27 am
Forum: Data Sufficiency
Topic: Distance and Speed Problems
Replies: 0
Views: 125

Distance and Speed Problems

If a train covers \(14\) miles in \(10\) minutes, then the rate of the train in miles per hour is

A. \(140\)
B. \(112\)
C. \(100\)
D. \(98\)
E. \(84\)

The OA is E

by swerve

Tue Dec 03, 2024 6:14 am
Forum: Problem Solving
Topic: Distance and Speed Problems
Replies: 0
Views: 144

Arithmetic, Fractions and Ratios

How much in royalties does a script writer get for a movie project, which costs \(\$30\) million to produce? 1. The producers pay to the script writer an initial fee of \(\$25,000\) when the script is received 2. The script writer receives \(3\) percent of the box office gross receipts in excess of ...

by swerve

Sat Nov 23, 2024 6:54 am
Forum: Data Sufficiency
Topic: Arithmetic, Fractions and Ratios
Replies: 0
Views: 319

Arithmetic, Fractions and Ratios, Geometry

If \(Q\) is the midpoint of the line segment \(PS,\) and \(R\) is the midpoint of line segment \(QS,\) what is the value of \(PQ/PR?\)

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

The OA is B

by swerve

Sat Nov 23, 2024 6:46 am
Forum: Problem Solving
Topic: Arithmetic, Fractions and Ratios, Geometry
Replies: 0
Views: 263

Arithmetic

\(N\) and \(P\) are points on the number line below \(20.\) Is \(P\) closer to \(10\) than \(N\) is?

1) \(P\) is greater than the average of \(10\) and \(N\)

2) \(P/N = 3\)

The OA is E

by swerve

Sat Nov 23, 2024 6:37 am
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 192

Arithmetic, Statistics and Sets Problems

If \(m\) is the product of all the integers from \(2\) to \(11,\) inclusive, and \(n\) is the product of all the integers from \(4\) to \(11,\) inclusive, what is the value of \(n/m?\)

A. \(1/12\)
B. \(1/8\)
C. \(1/6\)
D. \(1/3\)
E. \(1/2\)

The OA is C

by swerve

Sat Nov 23, 2024 6:26 am
Forum: Problem Solving
Topic: Arithmetic, Statistics and Sets Problems
Replies: 0
Views: 184

What percentage of the current fourth graders at Liberation Elementary School dressed in costume for Halloween for the

What percentage of the current fourth graders at Liberation Elementary School dressed in costume for Halloween for the past two years in a row (both this year and last year)? 1) \(60\%\) of the current fourth graders at Liberation Elementary School dressed in costume for Halloween this year 2) Of th...


Arif wished to use his VCR to record a \(60\) minute documentary scheduled to be aired at \(10{:}30 \)PM. At \(8{:}00\)

Arif wished to use his VCR to record a \(60\) minute documentary scheduled to be aired at \(10{:}30 \)PM. At \(8{:}00\) that morning, he set the timer to begin recording at \(10{:}30\) PM the same day and to stop recording exactly \(60\) minutes later. If the timer on the VCR slows down by \(30\) se...


Algebra

For what value(s) of \(k\) is the following equation satisfied: \(2k-9-k = 4k+6-3k\)

A. \(-5\)
B. \(0\) only
C. \(5/2\) only
D. No value
E. Any value

The OA is D

by swerve

Fri Nov 08, 2024 7:35 am
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 209

Algebra, Number Properties

\(X\) and \(Y\) are distinct non negative real numbers. What is the sum \((X+Y)?\)

1) \((X^2 - Y^2)/(X-Y) = 6\)

2) \((X+Y)^2 = 36\)

The OA is D

by swerve

Fri Nov 08, 2024 7:22 am
Forum: Data Sufficiency
Topic: Algebra, Number Properties
Replies: 0
Views: 180