Kishore Vaigyanik Protsahan Yojana 11 Years ’ SOLVED PAPERS 2019-2009 Stream SB/SX Included 5 Practice Sets Kishore Vaigyanik Protsahan Yojana 11 Years ’ SOLVED PAPERS 2019-2009 Stream SB/SX Authors Lakshman Prasad (Mathematics) Deepak Paliwal, Mansi Garg (Physics) Neha Minglani Sachdeva (Chemistry) Sanubia Saleem (Biology) ARIHANT PRAKASHAN (Series), MEERUT ARIHANT PRAKASHAN (Series), MEERUT All Rights Reserved © Publishers No part of this publication may be re-produced, stored in a retrieval system or distributed in any form or by any means, electronic, mechanical, photocopying, recording, scanning, web or otherwise without the written permission of the publisher. Arihant has obtained all the information in this book from the sources believed to be reliable and true. However, Arihant or its editors or authors or illustrators don’t take any responsibility for the absolute accuracy of any information published and the damages or loss suffered there upon. 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For further information about the books published by Arihant log on to www.arihantbooks.com or email to [email protected] Follow us on Kishore Vaigyanik Protsahan Yojana ABOUT THE EXAM KVPY i.e. Kishore Vaigyanik Protsahan Yojana is a National Level Fellowship (scholarship) Program in Basic Science (Physics, Chemistry, Mathematics & Biology) upto Pre-Phd Level, run by Department of Science & Technology, Government of India and Conducted by IISC (Indian Institute of Science) Bangalore, Karnataka Annually. It Was Started in 1999 to Encourage Basic Sciences Students to take up Research Career in Sciences. The Objective of the Exam is to Encourage Talented Students for Research Career in Sciences. ELIGIBILITY CRITERIA KVPY scholarships are given only to Indian Nationals to study in India. There are three streams in KVPY; SA, SB & SX. Eligibility criteria for different streams is discussed below; Ÿ For SA Class 11 Students who passed class 10 with minimum 75% (65% for SC/ST/PWD) marks in Mathematics & Science. The fellowship of students selected in SA will be activated only if they pursue undergraduate courses in Basic Sciences (B.Sc./B.S./B.Stat./B.Math/Integrated M.Sc. or M.S.) and have secured a minimum of 60% (50% for SC/ST/PWD) marks in science subjects in class 12th. Ÿ For SX Class 12 Students aspiring to pursue undergraduate program (B.Sc. etc ) with basic sciences (Physics, Chemistry, Mathematics & Biology) who passed class 10 with minimum 75% (65% for SC/ST/PWD) marks in Mathematics & Science. The fellowship of students selected in SX will be activated only if they pursue undergraduate courses in Basic Sciences (B.Sc./B.S./B.Stat./B.Math/Integrated M.Sc. or M.S.) and have secured a minimum of 60% (50% for SC/ST/PWD) marks in science subjects in class 12th. Ÿ For SB B.Sc. Ist year Students who passed class 12 with 60% marks in Maths & Sciences (PCMB) & class 10 with minimum 75% marks in Mathematics & Science. In order to activate fellowship, in the first year of undergraduate course they should secure minimum 60% (50% for SC/ST/PWD) marks. Those students who are intending or pursuing undergraduate program under distance education scheme or correspondence course of any university are not eligible. SYLLABUS OF KVPY There is no prescribed syllabus for KVPY aptitude test, it aims to assess the understanding & analytical ability of the students than his/her factual knowledge. However questions are framed from syllabus upto class 10/12/Ist Year of Undergraduate Courses in basic sciences, as applicable. There are two Questions Papers in KVPY; one for stream SA & Other for SB/SX (Question Paper is same for SB & SX). QUESTION PAPERS PATTERN There are two Questions Papers in KVPY; one for stream SA & Other for SX/SB (Question Paper is same for SB & SX). Ÿ Question Paper for SA Stream caries 80 Questions for 100 marks. There are Two Parts in the Question Paper; Part I has 15 Questions of 1 mark each for Mathematics, Physics, Chemistry & Biology while Part II has 5 Questions of 2 marks each for Mathematics, Physics, Chemistry & Biology. Ÿ Question Paper for SB/SX Stream caries 120 Questions for 160 marks. There are Two Parts in the Question Paper; Part I has 20 Questions of 1 mark each for Mathematics, Physics, Chemistry & Biology while Part II has 10 Questions of 2 marks each for Mathematics, Physics, Chemistry & Biology. MODE OF EXAM KVPY is conducted in Online Mode in English & Hindi Medium. TIME OF EXAM Ÿ Normally the notification or advertisement for KVPY appear in National Newspapers on May 11 (Technology Day) and Second Sunday of July every year. Ÿ Generally the exam is conducted in the month of November. SELECTION PROCESS After scrutiny of application forms on the basis of eligibility criteria for various streams all eligible students are called for Aptitude Test conducted in English & Hindi Medium at different centers across the country. On the basis of performance in aptitude test shortlisted students are called for an interview, which is the final stage of selection procedure. FELLOWSHIPS The selected students are eligible to receive KVPY fellowship after class 12th/Ist Year of Undergraduate course only if they pursue Undergraduate Courses in Basic Science, upto Pre- PhD or 5 Years whichever is earlier. Details of fellowships are listed below; Monthly Annual Basic Science Fellowship Contingency Grant SA/SX/SB during Ist to IIIrd year of B.Sc./B.S./BB.Stat./B.Math/ Rs. 5000 Rs. 20000 Integrated M.Sc or M.S. SA/SX/SB during M.Sc. / IVth to Vth years of Integrated M.Sc /M.S./ Rs. 7000 Rs. 28000 M.Math/ M.Stat. CONTINUATION / RENEWAL OF FELLOWSHIP Ÿ The fellow should continue to study basic science and should also maintain a minimum level of academic performance as Ist division or 60% (50% for SC/ST/PWD) marks in aggregate. Also the fellow has to pass all the subjects prescribed for that particular year. Ÿ In each year marks are to be certified by the Dean or Head of the Institution. Ÿ The fellowship will be discontinued if above marks are not obtained. However if fellow passed all the subjects & obtain marks more than 60% (50% for SC/ST/PWD) in subsequent year, the fellowship can be renewed only for that year onwards. Ÿ If KVPY fellow opts out of the basic science at any stage then monthly fellowship and contingency grant will be forfeited from him. KVPY Timeline 2020 IMPORTANT DATES Opening of Application Portal : 2nd Week of July 2020 Last Date of Submission of Online Application : 1st Week of September 2020 KYPY Aptitude Test : 1st Week of November 2020 APPLICATION FEE For General Category : Rs. 1000/- For SC/ST/ Persons with Disabilities : Rs. 500/- For more details visit : www.kvpy.iisc.ernet.in CONTENTS KVPY SB/SX QUESTION PAPERS (2019-2009) QUESTION PAPER QUESTION PAPER QUESTION PAPER 2019 2018 2017 (19 Nov) Pg. No. 1-27 Pg. No.1-26 Pg. No. 27-50 QUESTION PAPER QUESTION PAPER QUESTION PAPER 2017 (05 Nov) 2016 2015 Pg. No. 51-74 Pg. No. 75-99 Pg. No. 100-122 QUESTION PAPER QUESTION PAPER QUESTION PAPER 2014 2013 2012 Pg. No. 123-145 Pg. No. 146-168 Pg. No. 169-189 QUESTION PAPER QUESTION PAPER QUESTION PAPER 2011 2010 2009 Pg. No. 190-210 Pg. No. 211-233 Pg. No. 234-254 KVPY PRACTICE SETS (1-5) 257-362 KVPY 1 QuestionPaper2019Stream:SB/SX KVPY KISHORE VAIGYANIK PROTSAHAN YOJANA QUESTION PAPER 2019 Stream : SB/SX MM 160 Instructions 1. Thereare120questionsinthispaper. 2. Thequestionpapercontainstwoparts;PartI(1MarkQuestions)andPartII(2MarksQuestions). 3. Therearefoursectionsineachpart;Mathematics,Physics,ChemistryandBiology. 4. Outofthefouroptionsgivenwitheachquestion,onlyoneiscorrect. PART-I (1 Mark Questions) MATHEMATICS 4. Let ABbe a line segment with mid-pointCandDbe the mid-point of AC. LetC be the circle with 1. The number of four-letter words that can be formed 1 diameter ABandC be the circle with diameter AC. with lettersa,b,csuch that allthreeletters occur is 2 LetEbe a point onC such thatECis perpendicular (a) 30 (b) 36 (c) 81 (d) 256 1 to AB. LetF be a point onC such thatDF is  1 2 2 1 2  perpendicular to ABandEa2ndF lie on opposite 2. Let A=θ∈R:3sinθ+3cosθ =3sin2θ+ 3cos2θ. sides of AB. Then, the value ofsin∠FECis 1 2 Then (a) (b) 10 10 (a)AI[0,π] is an empty set 1 2 (b)AI[0,π]has exactly one point (c) (d) 13 13 (c)AI[0,π]has exactly two points (d)AI[0,π]has more than two points. 5. The number of integersxsatisfying 3. The area of the region bounded by the lines 1 x x2   x=1,x=2, and the curvesx(y−ex)=sinxand −3x4 + det1 x2 x4=0is equal to 2xy=2sinx+ x3 is 1 x3 x6 1 7 (a)e2−e− (b) e2−e− 6 6 (a) 1 (b) 2 1 7 (c) 5 (d) 8 (c)e2−e+ (d)e2−e+ 6 6