QUICK ARITHMETIC
QUICK ARITHMETIC This book explains the Short-Cut Methods of Solving the Problems (Fully Solved)
An ideal book for :
l SSC (SO, CGL Tier I and Tier II, CHSL, FCI, MTS.)
l Bank PO, SBI PO, RBI, Bank Clerical Exams. l AAO Exam – LIC, GIC
l Railway Recruitment Board Exams.
l IGNOU, MBA, Hotel Management Exams.
l Sub-Inspectors of Police, CBI, CPO Exam.
l CDS, Management Exams, IGNOU
ASHISH AGGARWAL
S. CHAND & COMPANY PVT. LTD. (AN ISO 9001 : 2008 COMPANY)
RAM NAGAR, NEW DELHI-110 055
S. CHAND & COMPANY PVT. LTD. (An ISO 9001 : 2008 Company)
Head Office: 7361, RAM NAGAR, NEW DELHI - 110 055 Phone: 23672080-81-82, 9899107446, 9911310888 Fax: 91-11-23677446
Branches :
Shop at: schandgroup.com; e-mail:
[email protected]
AHMEDABAD
: 1st Floor, Heritage, Near Gujarat Vidhyapeeth, Ashram Road, Ahmedabad - 380 014, Ph: 27541965, 27542369,
[email protected] : No. 6, Ahuja Chambers, 1st Cross, Kumara Krupa Road, Bengaluru - 560 001, Ph: 22268048, 22354008,
[email protected] BHOPAL : Bajaj Tower, Plot No. 2&3, Lala Lajpat Rai Colony, Raisen Road, Bhopal - 462 011, Ph: 4274723, 4209587.
[email protected] CHANDIGARH : S.C.O. 2419-20, First Floor, Sector - 22-C (Near Aroma Hotel), Chandigarh -160 022, Ph: 2725443, 2725446,
[email protected] CHENNAI : No.1, Whites Road, Opposite Express Avenue, Royapettah, Chennai - 600014 Ph. 28410027, 28410058,
[email protected] COIMBATORE : 1790, Trichy Road, LGB Colony, Ramanathapuram, Coimbatore -6410045, Ph: 2323620, 4217136
[email protected] (Marketing Office) CUTTACK : 1st Floor, Bhartia Tower, Badambadi, Cuttack - 753 009, Ph: 2332580; 2332581,
[email protected] DEHRADUN : 1st Floor, 20, New Road, Near Dwarka Store, Dehradun - 248 001, Ph: 2711101, 2710861,
[email protected] GUWAHATI : Dilip Commercial (Ist floor), M.N. Road, Pan Bazar, Guwahati - 781 001, Ph: 2738811, 2735640
[email protected] HALDWANI : Bhatt Colony, Talli Bamori, Mukhani, Haldwani -263139 (Marketing Office) Mob. 09452294584 HYDERABAD : Padma Plaza, H.No. 3-4-630, Opp. Ratna College, Narayanaguda, Hyderabad - 500 029, Ph: 27550194, 27550195,
[email protected] JAIPUR : 1st Floor, Nand Plaza, Hawa Sadak, Ajmer Road, Jaipur - 302 006, Ph: 2219175, 2219176,
[email protected] JALANDHAR : Mai Hiran Gate, Jalandhar - 144 008, Ph: 2401630, 5000630,
[email protected] KOCHI : Kachapilly Square, Mullassery Canal Road, Ernakulam, Kochi - 682 011, Ph: 2378740, 2378207-08,
[email protected] KOLKATA : 285/J, Bipin Bihari Ganguli Street, Kolkata - 700 012, Ph: 22367459, 22373914,
[email protected] LUCKNOW : Mahabeer Market, 25 Gwynne Road, Aminabad, Lucknow - 226 018, Ph: 4076971, 4026791, 4065646, 4027188,
[email protected] MUMBAI : Blackie House, IInd Floor, 103/5, Walchand Hirachand Marg, Opp. G.P.O., Mumbai - 400 001, Ph: 22690881, 22610885,
[email protected] NAGPUR : Karnal Bagh, Near Model Mill Chowk, Nagpur - 440 032, Ph: 2720523, 2777666
[email protected] PATNA : 104, Citicentre Ashok, Mahima Palace , Govind Mitra Road, Patna - 800 004, Ph: 2300489, 2302100,
[email protected] PUNE : Sadguru Enclave, Ground floor, Survey No. 114/3, Plot no. 8 Alandi Road , Vishrantwadi Pune – 411015 Ph: 64017298
[email protected] RAIPUR : Kailash Residency, Plot No. 4B, Bottle House Road, Shankar Nagar, Raipur - 492 007, Ph: 2443142,Mb. : 09981200834,
[email protected] (Marketing Office) RANCHI : Shanti Deep Tower, Opp.Hotel Maharaja, Radium Road, Ranchi-834001 Mob. 09430246440
[email protected] SILIGURI : 122, Raja Ram Mohan Roy Road, East Vivekanandapally, P.O., Siliguri, Siliguri-734001, Dist., Jalpaiguri, (W.B.) Ph. 0353-2520750 (Marketing Office)
[email protected] VISAKHAPATNAM : No. 49-54-15/53/8, Plot No. 7, 1st Floor, Opp. Radhakrishna Towers, Seethammadhara North Extn., Visakhapatnam - 530 013, Ph-2782609 (M) 09440100555, BENGALURU
[email protected] (Marketing Office)
© 2004, Ashish Aggarwal
All rights reserved. No part of this publication may be reproduced or copied in any material form (including photocopying or storing it in any medium in form of graphics, electronic or mechanical means and whether or not transient or incidental to some other use of this publication) without written permission of the copyright owner. Any breach of this will entail legal action and prosecution without further notice. Jurisdiction : All desputes with respect to this publication shall be subject to the jurisdiction of the Courts, Tribunals and Forums of New Delhi, India only. First Edition 2004 Subsequent Editions and Reprints 2005, 2006, 2007 (Twice), 2009, 2010, 2011, 2012, 2013, 2014 Sixth Revised Edition 2014
ISBN : 978-81-219-2387-3 printed in india
Code : 1014D 487
By Rajendra Ravindra Printers Pvt. Ltd., 7361, Ram Nagar, New Delhi -110 055 and published by S. Chand & Company Pvt. Ltd., 7361, Ram Nagar, New Delhi -110 055.
Preface to the Sixth Revised Edition Mathematics has always been very important part of various competitive exams. and with the time, it has become more important and, hence, also the need for learning the short-cut methods of solving the mathematical problems in the competitive exams where time taken is of prime essence. This sixth edition of the book is thoroughly revised and enlarged according to the latest syllabi and trend of the various competitive exams and also taking into consideration the feedback from the readers. Chapters on Trigonometry and Geometry have been included in this edition. New and better short-cut methods, based on logics, to solve the questions have been explained in this edition. Important questions from various competitive exams have been included. This book will also be useful for many competitive exams having objective quantitative aptitude as one of the paper. It gives me great pleasure to note the appreciation shown by the students of the previous editions of this book. I hope the readers would get as much pleasure in reading this book as I get in writing the same. I am thankful to my publisher S. Chand & Company Pvt. Ltd., New Delhi for all help, support and guidance. The salient features of this edition are as follows : l Written strictly as per the new syllabi of various exams. including SSC CGL Tier I and
Tier II Exams.
l More questions from previous papers from various exams. up to year 2013. l New and improved short-cut methods and tricks of solving problems in almost no time. l Short-cut methods for multiplication, division, square, cube and roots. l Previous question papers from various SSC Exams. for practice. l A lot of solved questions – to learn and practice the short-cut methods.
This book is very useful to candidates appearing in the following exams. : l SSC : Combined Graduate Level (Tiers I & II), Section Officer Level, Combined Higher
Secondary Level, Food Corporation of India, Multi-Tasking, Constables, Sub-Inspector in Delhi Police, CISF, etc. l Bank : PO, Clerical, RBI l Railway Recruitment Board l LIC/GIC : AAO, Clerical l Management Exams., IGNOU, CDS Any suggestions and feedback for the improvement of the book are most welcome. I wish you success in the exams.
Ashish Aggarwal
[email protected] Disclaimer : While the author of this book has made every effort to avoid any mistakes or omissions and has used his skill, expertise and knowledge to the best of his capacity to provide accurate and updated information, the author and S. Chand do not give any representation or warranty with respect to the accuracy or completeness of the contents of this publication and are selling this publication on the condition and understanding that they shall not be made liable in any manner whatsoever. S.Chand and the author expressly disclaim all and any liability/responsibility to any person, whether a purchaser or reader of this publication or not, in respect of anything and everything forming part of the contents of this publication. S. Chand shall not be responsible for any errors, omissions or damages arising out of the use of the information contained in this publication. Further, the appearance of the personal name, location, place and incidence, if any; in the illustrations used herein is purely coincidental and work of imagination. Thus the same should in no manner be termed as defamatory to any individual.
Preface to the First Edition I am happy to present this book to the students who wish to appear in the objective type competitive examinations. In such examinations, the students are required to solve questions in a limited time. The conventional method of solving the mathematical questions is not only time-consuming but also prone to mistakes because of the lengthy methods involved. This book explains the short-cut methods of solving the sums in a faster way. For the convenience of the students and easy understanding, the questions are divided into various chapters. The book covers basic terms, short-cut methods of multiplication, ratio and proportion, percentage, profit and loss, time and distance, time and work, simple and compound interest, mensuration, etc. Each chapter contains rules and formulae followed by fully solved exercises. Questions are also taken from previous papers of SSC, Banks and other exams. The important rules are given in the boxes so that one can locate them easily for future reference. In the chapters, logic of formulae is explained so that the students learn the logic of formulae, instead of memorising the formulae directly. While teaching, I have experienced students facing difficulty in memorising methods, and also making wrong application of rules, leading to wrong answers. I hope that this book will be of immense help to those who appear in objective type mathematical papers. I am very thankful to my family and friends for their encouragement and support in writing this book. Any suggestions for the improvement of quality of the book and rectification of errors are most welcome.
Ashish Aggarwal
[email protected] [email protected]
Contents 1. Basic
1 — 19
2. Fractions and Decimals
20 — 38
3. Divisibility Test and Remainder Rules
39— 51
4. Multiplication and Division of Numbers — Short-cut Methods
52 — 71
5. HCF and LCM
72 — 84
6. Square, Cube Numbers and their Properties
85 — 96
7. Square Root and Cube Root
97 — 106
8. Series
107 — 119
9. Linear Equation
120 — 121
10. Algebra
122 — 168
11. Powers and Roots
169 — 204
12. Ratio, Proportion and Partnership
205 — 251
13. Problems on Ages
252 — 260
14. Percentage
261 — 306
15. Discount
307 — 312
16. Profit and Loss
313 — 361
17. Average
362 — 391
18. Alligation
392 — 412
19. Simple Interest
413 — 433
20. Compound Interest
434 — 452
21. Relation between C.I. and S.I.
453 — 462
Quick Arithmetics
10% OFF
Publisher : SChand Publications ISBN : 9788121923873
Author : Ashish Aggarwal
Type the URL : http://www.kopykitab.com/product/8079
Get this eBook
