Clock based math problems are among the most challenging and interesting problems to crack.
Basics
For every 60 units that a minute hand move in an hour , the hour hand moves 5 units.
For 12 hours the hour hand completes 360 degrees
1 hour = 360/12 = 30 degrees
60 minutes = 30 degrees
Degrees turned by hour hand in 1 minute = 0.5 degrees
For 1 hour the minute hand completes 360 degrees
1 hour = 360 degrees
60 minutes = 360 degrees
Degrees turned by minute hand in 1 minute = 6 degrees
Lets test what we have learned:
Q) Find the degree between hour hand and minute hand at 3:32'
Hour hand = 3
1 minute ( hour hand) = 0.5 degrees
3 hours = 3*0.5*60(1 hour= 60 minutes)
3 hours ( 3'o clock) = 90 degrees
Minute Hand = 32'
1 minute(minute hand) = 6 degrees
32 minutes(minute hand) = 32*6 = 192 degrees
For the 32 minutes, the hour hand moves by an additional 16 degrees
= 32*0.5
So Hour hand at 32 minutes = 90+16=106 degrees
Degrees between minute hand and hour hand at 3:32' = 192-106
=86 degrees
Number of right angles
1) A clock makes two right angles between 2 hours
2) The clock does not makes 48 right angles in 24 hours( 1 day)
P.S: Between 2 -4 and 8-10 there are 3 right angles and not 4
The first right angle between 3 - 4 (9-10) and second right angle bw:
2-3(8-9) are the same.
Q) At what time between 3 and 4 p.m is the first right angle formed
At 3 p.m
No of units that the hour hand is ahead of the minute hand = 15 units
For 90 degrees the minute hand should be 15 units ahead of hour hand
No of units that the minute hand has to cover = 15+15 = 30 units
Distance covered by minute hand over hour hand in one hour = 55 units
1 hour = 55 units
x hour = 30 units
x = 30/55 = 6/11 of an hour
So first right angle between 3 and 4 is at 6/11 of an hour
Converting 6/11 to minutes = 6/11 * ( 60) minutes
= 360/11 minutes
= 32 ( 8/11) minutes
Converting 8/11 minutes to seconds = 8/11*(60) = 480/11 = 43.6363..
So the first right angle is at 3 : 32 : 43.64
Learn how to Solve Tricky Clock Angle Math Problems
Top 31 MBA Programs + Analysis of 24 Industries (United States)_book_cover_high_res_3d_250.jpg)
We analyze the MBA Curriculum, Class Profile, Total Cost and Post-MBA Salary of Top 31 MBA programs in the US.
+ 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)
