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Probability

How many times was a fair coin tossed?

1) If the coin has been tossed \(4\) times fewer, the probability of getting heads on every toss would have been \((1/8)\)

2) When a coin is tossed a number of times, the number of different possible sequences of heads and tails is \(128\)

The OA is D

by swerve

Sun Oct 13, 2024 8:19 am
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 29

Probability

Salesperson A has already called \(45\) of the \(120\) names on her list of prospects. If salesperson \(B\) picks a prospect at random from the same list, what is the probability that the prospect has not yet received a call from salesperson \(A?\) A. \(0.375\) B. \(0.45\) C. \(0.55\) D. \(0.625\) E...

by swerve

Sun Oct 13, 2024 8:10 am
Forum: Problem Solving
Topic: Probability
Replies: 0
Views: 10

A barrel contains only red balls, white balls, and brown balls. If two balls are selected at random without replacing

A barrel contains only red balls, white balls, and brown balls. If two balls are selected at random without replacing each ball, what is the probability that two brown balls will be selected? 1) The probability that one ball selected at random is either red or white is \(\dfrac{2}{3}\) 2) There are ...


Probability

A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up \(1\) or \(2?\)

A. \(1/2\)
B. \(1/3\)
C. \(1/4\)
D. \(1/6\)
E. \(1/12\)

The OA is D

by swerve

Sun Oct 13, 2024 7:54 am
Forum: Problem Solving
Topic: Probability
Replies: 0
Views: 7

Arithmetic

One inch equals \(2.54\,\text{cm}.\) How many centimeters tall is a \(76\) inch man?

A. \(20\,\text{cm}\)
B. \(29.92\,\text{cm}\)
C. \(193.04\,\text{cm}\)
D. \(300.04\,\text{cm}\)
E. \(593.04\,\text{cm}\)

The OA is C

by swerve

Fri Oct 04, 2024 5:13 pm
Forum: Problem Solving
Topic: Arithmetic
Replies: 0
Views: 120

Arithmetic, Fractions and Ratios

Which school out of school \(A\) and school \(B\) has greater number of boys?

1) Ratio of boys to girls in school \(A\) is less than ratio of boys to girls in school \(B\)

2) Girls in school \(A\) are more than girls in school \(B\)

The OA is E

by swerve

Fri Oct 04, 2024 5:04 pm
Forum: Data Sufficiency
Topic: Arithmetic, Fractions and Ratios
Replies: 0
Views: 80

Arithmetic, Number Properties

What is the sum of all the odd integers between \(100\) and \(302?\)

A. \(10,150\)
B. \(20,150\)
C. \(20,301\)
D. \(40,301\)
E. \(45,301\)

The OA is C

by swerve

Fri Oct 04, 2024 4:57 pm
Forum: Problem Solving
Topic: Arithmetic, Number Properties
Replies: 0
Views: 82

Percent and Interest Problems

A man spends \(20\%\) of his income on house rent, \(25\%\) of the remaining income on food, and \(30\%\) of his total income on conveyance, and saves the rest. If he invested \(40\%\) of his savings in shares, how many shares did he purchase? 1) He spends \(\$80\) on his food 2) He purchased shares...

by swerve

Sun Sep 29, 2024 11:34 am
Forum: Data Sufficiency
Topic: Percent and Interest Problems
Replies: 0
Views: 329

Fractions and Ratios, Percent and Interest Problems, Probability

\(S\) and \(R\) are two beehives where \(S\) contains more bees than that of \(R.\) The honey in these hives is gathered only by the worker - bees and the hive is maintained by the remaining bees. Is the average honey collected per bee in the hive greater in hive \(R'\) as compared to hive \(S?\) 1)...

by swerve

Sun Sep 29, 2024 11:26 am
Forum: Problem Solving
Topic: Fractions and Ratios, Percent and Interest Problems, Probability
Replies: 0
Views: 216

Combinations

Families in which some members argue with each other compete for a chance to appear on Barry Wringer’s TV show. The greater the percentage of family members who argue with each other, the greater the family’s chances of appearing on Wringer’s show. If the Brown family and the Gonzales family both ha...

by swerve

Sun Sep 22, 2024 9:23 am
Forum: Data Sufficiency
Topic: Combinations
Replies: 0
Views: 1030

Combinations

Claudia can choose any two of four different candles and any \(8\) of \(9\) different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?

A. \(54\)
B. \(72\)
C. \(96\)
D. \(144\)
E. \(432­\)

The OA is A

by swerve

Sun Sep 22, 2024 9:16 am
Forum: Problem Solving
Topic: Combinations
Replies: 0
Views: 752

Combinations

If \(3\) members are to be selected from a group of \(x\) members then what is the value of \(x?\) 1) If team of \(3\) members is selected from the group of \(x\) members then \(30\) different combinations of \(3\) members can be formed with \(2\) specific members never being together on the team 2)...

by swerve

Sun Sep 22, 2024 9:07 am
Forum: Data Sufficiency
Topic: Combinations
Replies: 0
Views: 820

Combinations

You are given a \(4\times 4\) square Board and you need to fill it with Red and Blue colors such that there are exactly two blue boxes and two red boxes in each row and column. In how many ways is it possible to fill the colors in \(4 \times 4\) square Board? A. \(12\) B. \(45\) C. \(48\) D. \(90\) ...

by swerve

Sun Sep 22, 2024 9:00 am
Forum: Problem Solving
Topic: Combinations
Replies: 0
Views: 744

A man travelled from one city to another. What is the distance between the two cities?

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...


Every student at Darcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing,

Every student at Darcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is \(4{:}3,\) while the rati...