When you think about Set Questions, the traditional form of representing numbers in Sets comes to our mind. In GMAT set questions however, several other concepts will be tested simultaneously. Let us look into an example where Set representation is used to solve Probability and Number properties GMAT Question.

Q) Rhonda’s Chocolate factory is creating packets of chocolates with 12, 13, 14, 25, 35, 44, 66, 77 and 88 chocolates in each packet. The manager at the Factory arranged the packets in such a way that all the bright colored packets were in one group, and dark colored packets in other. If the bright colored packet group had packets with 12, 25, 77, and 88 chocolates, and dark colored packet group had the remaining, what is the probability that picking a pair from dark and bright colored packet group gives even number of chocolates?

Answers

a) 1/3

b) 1/2

c) 1/5

d) 2/3

e) 1/8

Solution

The length of the question should not intimidate you. This simple set question tests the theory of Number properties.

First, let us understand the information in the question.

There are two packet groups – light and dark colored.

The bright colored packet group has chocolate packets with 12, 25, 77, and 88 chocolates. Let us represent this as a set A.

A = {12, 25, 77, 88}

The dark colored packet group had the remaining chocolates. Let the set be represented by B

B = {13, 14, 35, 44, 66}

The question is what is the probability that picking a pair from dark and bright colored packet group gives even number of chocolates?

Total Number of pairs that can be created from A and B = 4 x 5 = 20

Total Number of ways in which packets can be picked from A & B such that the sum is even = n

Probability = n/20

The only possibility of getting even numbers is when two packets picked from A & B are both even or each packets are odd

Even + Even = Even

Odd + Odd = Even

Let us pick each number from A

(12,14) (12,44) (12,66)

(25,13) (25,35)

(77, 13) (77, 35)

(88, 14) (88, 44) (88, 66)

Total (n) = 10

Probability = 10/20 = 1/2

Shortcut

A = {12, 25, 77, 88}

From A, when you pick the first number – 12 it is an even number

For even number 12, when you pick another number from B that satisfy the even sum condition, you will get 3 groups

For even number 88, the number of groups would be the same -> 3

For odd number 25, when you pick another number from B that satisfy the even sum condition you will get 2 groups

For odd number 77, the number of groups would be the same -> 2

Total (n) = 3*2 + 2*2 = 10**Correct Answer: B**

**Top 31 MBA Programs + Analysis of 24 Industries (United States)**We analyze the MBA Curriculum, Class Profile, Total Cost and Post-MBA Salary of

**Top 31 MBA programs in the US.**

+ Industry Trends

+

+ Industry Trends

**Future of**Aerospace, Agriculture, Artificial Intelligence (AI), Automobile, Clean Tech, Education, Energy, Fashion, Financial Services, Insurance, FinTech, Government, Healthcare, Life Sciences, Military, Manufacturing, Maritime, Media/Advertising, Technology, Tourism, Trade, Transportation and Logistics, Virtual Reality (VR), and Augmented Reality (AR).

**Pages: 327**

**Reviews**

"I have not reviewed many books for MBA Admission consulting companies but doing it now to give all applicants a brief idea on what the book covers. The book includes 31 top MBA programs - almost all the top schools you have heard or considering for your MBA application. Each chapter is categorized by US States where there is at least one top MBA program. So you have California and Massachusetts with the most number of MBA programs and several states with one top program (Washington, Minnesota, Washington D.C., Connecticut, Virginia, and Maryland) and other states with two to three MBA programs. The book focuses on four aspects of an MBA program - curriculum, cost, class profile and post-MBA salary. For me, the breakdown of the cost and post-MBA industry was useful to make my decision on selecting the top 5 programs for 2017-18. It is a fascinating read in an industry where consultants overprice for their expertise. I recently bought a 30-page guide for $49. Compared to the obvious observation in that book, the 300+ page, MBA in US - the Ultimate guide is a goldmine of information and analysis." -

**Verified Purchase (21st June 2017)**

"I bought the ultimate guide after a friend recommended it for me. The guide covers a lot of ground on the history of each prominent US states and goes into the reasons why a certain industry emerged from each state. In addition to the analysis of the economy, trends and expected changes in the next 5 years, the book features top MBA programs in each state with an extensive study of its curriculum. Ultimate guide is an essential reference book for MBA Applicants if they want to shortlist MBA programs based on value and cost, and not just ranking. " -

**Verified Purchase (14th June 2017)**

"Should be a required reading before applying for an MBA. School events and MBA Tours are PR events disguised as a Q&A. On the contrary, the book is an unbiased analysis of each Top MBA program in the US supported by a large dataset and historical context on each industry. The guide builds a case for indstries that are likely to emerge as favourite for MBA graduates. Thorough and a valuable book."

**- Verified Purchase (15th June 2017)**

"What I liked: The breadth of the information. Some of my favorite nonfiction books have taken the same approach as the ultimate guide have - cover background information in-depth. In the book, the author uses parallel threads to demonstrate the history of the state and the rise of industries. Will make you think how schools thrive based on the policy set by the state. California's obsession with Technology has revolutionized how we do Business and changed post-MBA trends. Many MBA applicants will be consulting or doing marketing for a Technology company. That is one key finding from the book. The latest development in AI, FinTech, and Automation is an additional context that I found valuable in the book.

Very informative. I would recommend that you read the book at least once in chronological order before using Table of Contents." -

**Verified Purchase (2nd July 2017)**

Download How to Choose the Best MBA in US: The Ultimate Guide

(2018 Entering Class)

Download How to Choose the Best MBA in US: The Ultimate Guide

(2018 Entering Class)