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PDF Editor FAQ

If the HCF of two numbers is 2 and the product of the two numbers is 3,690, what is their LCM?

The Greatest Common Factor (GCF) or HCF of two numbers when multiplied by the Least Common Multiple (LCM) of the same two numbers equals the product of the numbers themselves. For example, the GCF of 12 (or 3*4) and 15 (or 3*5) is 3. The LCM of 12 and 15 is 60 because 60 ( 3*4*5 ) = 5*12 and also 4*15. If you multiply the GCF of 3 and the LCM of 60 you get 180 which is the product of 12 and 15.In this particular question: 3,690 is NOT divisible by 4, so the greatest or highest common factor CAN NOT BE 2. 3690 = 2*5*9*41. It is possible to come up with two numbers with an HCF or GCF of 3. For example, 30 and 123. So the LCM in this case would be 3,690 / 3 = 1230. (or 3*10*41)Possibly, the author meant to ask about 3,960 which COULD have a GCF or HCF of 2. In which case, the LCM is 3,960/2 = 1,980.Number pairs that satisfy the initial conditions HCF =2 and product = 3,960:In all cases, the LCM = 3,960/2 = 1,980(10, 396)(18, 220)(20, 198)(22, 180)(36, 110)(44, 90)——— Joseph

How should I prepare for DMRC Junior Electronics Engineer?

Basic key to crack all the exams is aptitude. You must be prepared for miscellaneous questions, and should not expect redundant ones. Once you start thinking in anonymous directions and hence out of the box, the rest of the thing will be a cake walk for you then.Being specific, about DMRC, go through last year's question paper for sure. It wont help you to get exact questions, but at least will clear the directions in which you must tend towards. I have gone through some of the question papers and surprisingly solved most of the question, despite the fact that I am not into the genre at all.You need to work on the number-base system (including binary, octal, hexadecimal, etc); logic gates; basics about computer hardware(including RAM, ROM, chips, microprocessor etc) and of course basics on electronics part.As far as basic aptitude (verbal/non verbal/ mathematics/ general awareness) is concerned, prepare these topics-1. Grammar, sentence structure, synonyms/antonyms-vocab for English;2. Faces known, awards and honors, books and authors, sports, current affairs, science and abbreviations for General Awareness.3. HCF/LCM, mensuration, algebra, profit and loss, average and allegations,ratio and proportion, percentage, simple interest-compound interest, fractions-decimals for Aptitude.4. Coding-decoding, arithmetic reasoning, pattern completion, age calculation, blood relations for Logical Reasoning.5. Last but not the least, cover image mirror images, identical and embedded figures study for Non verbal section.Considering DMRC at first place, is a good option over all as I have seen many job opportunities for the same, with decent high-end packages.now, DMRC dates for this year is already gone, so start preparing for next year. I guess a month's preparation for the same will do.All the Best

Which is the best book for practising aptitude?

Quantitative Aptitude is a key component to unlocking a winning CAT score and no author does the subject justice more than Arun Sharma, whose vast experience in his field is reflected in every chapter of Quantitative Aptitude for CAT. A stellar product in its category, this book is now in its seventh edition. Not only does it follow the latest trends and question patterns for CAT, it is also found immensely useful by students for other management entrance tests like XAT, SNAP, IIFT and so on. The book comprehensively covers all topics, including Numbers, Average and Mixtures, Arithmetic and Word-based Problems, Geometry, Algebra, Counting, etc. in a very accessible and easy manner. Besides teaching the subject, the author instructs aspirants successfully to strategies, manage time and analyse their knowledge pattern accurately to make the most of a time-bound elimination exam. The book provides mock test papers for continuous test rehearsal and has problems of varying difficulty levels for rigorous practice. It’s a must read for any and all CAT aspirants todayQuantitative Aptitude for Competitive Examinations is a very extensive and comprehensive book that is readily relied upon used by students and job aspirants who are competing at some of the most difficult competitive examinations in the country. This book contains chapters on HCF, LCM, number system, decimals and fractions, profit and loss, percentage, work and wages, linear equations, time and distance and trigonometry and geometry.The book also has a good question bank of unsolved and solved model test papers. Students can use these for practice and revision. The book is very handy for students appearing for CTET, MATM GRE, PO, IBPS and Railway Recruitment Examinations.Quantitative Aptitude as we all know is the skill to deduce information, communicate and understand the basic logic behind a given problem. This is done by using charts, graphs, percentages, numbers and tabular data. The student’s arithmetic skills are assessed and his ability to solve mathematical problems is put to test.Such numerical ability tests are now an integral part of most competitive examinations.This book helps a candidates to assess ones comfort with numbers and also puts his/her logical thinking to test. The author has compiled many sets of challenging problems that test a students ability to apply logic or test reasoning and analysis ability in solving them.Written in an easy to understand language, the solved questions with many suggested shortcut methods prove to be time saving ways that is of much held in gaining an edge at the examination.The thoroughly researched book is of great help to students who do find mathematics challenging.

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