Ram Kumar Nanda Kishore. IIT Wizard. Sampath Rushi. Y. P. M. Reddy. M. Chakradhar. Success, nothing but success. B.

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1 J. Apoorva 2010 G. Venkatesh K. Avinash D. Siril Teja Divya Sri Rahul Dopeshwar 2009 Vinay Kumar Harsha Dayanandh Sashikanth Reddy 2010 Sai Meghana Nithya Sai Krishna Ch. Maheswar Reddy Ad. Adil Sourabh Rao 2009 G. Kalyan P.V. Tejaganesh 2009 M. Surya J.N. Bhanu Prakesh K.S.V. Dhanush M. Dinesh B. Tejaswi 2008 V. Sai Sravya Monalisa Panda M. Chakradhar 2008 Y. P. M. Reddy 2006 Ram Kumar 2002 K. Akhil 2010 Kunal Patnaik Nanda Kishore 2004 Krishna P. Kabra G. Rohan Siddartha Yadav B. Amluya Sampath Rushi 2005 Narandra Bade Praneeth Reddy Anubhav Singal Anmol Man Singh Anekit Kariya P.Varun Abhik Chakravarthi Our students figured in TOP TEN of IIT Ramaiah Entrance test from IIT DREAMS INTO REALITY Here is a GATEWAY IIT Guru Brahma Sri IIT RAMAIAH IIT STUDY CIRCLE, HYDERABAD IIT Wizard IIT Pioneers IIT Guiders IIT Masters IIT Krishna Murthy Sri Mega Study SANJEEVANI Delta Academy Through No.1 for IIT Foundation in INDIA Success, nothing but success IIT Guru Brahma Sri IIT Ramaiah SRI SRI AC A D E M Y IIT RAMAIAH ENTRANCE TEST - IIT Achievers NANO & Spl.Coaching ACADEMY SRI SRI H.O. : Near R.S. Brothers, KUKATPALLY Housing Board H YD E RAB AD Branch : DILSUKHNAGAR Pho ne : , , , inaugurated in 2001 FREE MODEL PAPERS FOR 2018

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3 1 Success, nothing but success No. 1 for IIT Foundation in India SRI SRI A C A D E M Y H Y D E R A B A D Tomorrow s IITians Today s choice is H.O : Near R.S.Brothers, Kukatpally Housing Board, HYDERABAD -85. BRANCH : Dilshuknagar Ph : , No. 1 for IIT Foundation in India SRI SRI ACADEMY IIT RAMAIAH MODEL QUESTION PAPER Time : THREE HOURS MAX Marks : 180 MATHEMATICS NOTE: 1. Attempt all questions. 2. Rough work must be enclosed with answer book. 3. There is no negative marking 4. Answer each of sections A, B, C at one place. 5. Use of calculators, slide rule, graph paper and logarithmic, trigonometric and statistical tables is not permitted Note: All answers to questions in Section A, Section B and Section C must be supported by mathematical arguments. In each of these sections order of the questions must be maintained. SECTION A This section has Four Questions. Each question is provided with four alternative answers. Exactly one of them is the correct answer. Indicate the correct answer by A, B, C, D. (4 x 3 = 12 M) 1. p, q, r, s are the integers of the number 2018 then the 2 number of solutions of q p a) 1 b) 0 c) 3 d) 2 2. Area of the region bounded by x + y =2018 is a) 0 b) 1 c) 2 d) 3 3. A square ABCD is inscribed in a quarter circle where B is on the circumference of the circle and D is the center of the circle. The length of diagonal AC of the square, if the circle s radius is 5, is r s

4 A) 5 /4 B) 5 /2 C) The length canot be determined D) None 4. Let, be the roots of x 2 x + p = 0 and, be the roots of x 2-4 x + q = 0. If,,, are in G.P then integral values of p and q respectively are A) 2, -3 B) 2, 3 C) 6, 3 D) None SECTION B (4 x 3 = 12 M) This section has Four Questions. In each question a blank is left. Fill in the blank. 5. If [x] denotes the greatest integer less than or equal to x 2018 then what is the value of i i In the binomial expansion of (a - b) n, n 5 the sum of the 5 th and 6 th terms is zero. Then a b is equal to xn 7. A Sequence is defined by x 1 = 2, xn 1 for all n 1. 1 x x 2018 is 8. The quadratic equation ax 2 + bx + a = 0 has a positive coincident root. Then = SECTION C State True or False in each of the following statements. (4 x 3 = 12 MARKS) 9. Log 2 13 is irrational 10. There exist four distinct points A, B, C, D in a plane such that AD 2 BC and BD 2 CA 11. There exist a pair of non negative real numbers a, b such that (a - b) (a (a + b) - 2b 2 ) is negative. 12. If n is a natural number, 2n+l and 3n+l are squares then 5n+3 is not a prime. n 13. If t n = 2 3 SECTION D (4 x 6 = 24 M) 1 4 n n for n = 1, 2, 3., then find the value of t 1 t 2 t 3 t If K = ; S then find the value of (K+1) 1 + (S+1) If ABC is a triangle with AB, BC measuring p and q units respectively, find the maximum area possible for triangle ABC. x x P.T. for every positive real number x PART B :: PHYSICS (10 x 6 = 60M) 17. A bullet moving horizontally at v strikes a stationary block lying on a smooth horizontal surface and gets embedded in it. The block moves at V after the bullet strikes it. Find the ratio of masses of the bullet and the block. 18. A ray of light is incident as shown on the face AB an isosceles right angled prism ABC. Find the angle of deviation of the ray emerging through face BC. Ray partially reflected at the face BC emerges through AC. Find the deviation of this ray too. Refractive index of the material of the prism is A body of weight W loses 1/3 of its weight when completely submerged in a liquid A. Find the weight of the body when completely submerged in another liquid B, whose density half of that of liquid A. 20. In the given circuit, if a current of 12 m A exists in 5K resistor. Find the currents in the other three resistors. What is the potential difference between the points A & B. 3 4

5 21. When a body moves with a constant speed along a circle a) no work gets done on it b) no acceleration is produced in the body c) no force acts on the body d) its velocity remains constant 22. A train of length 300m passes through two tunnels with a gap of 400m between them. The tunnels are of length 800m and 600m respectively. From the moment it just emerges from the first tunnel to the moment it just disappears in to the second tunnel, time elapsed is 60s. Find the time elapsed between the moments the train just enters the first tunnel to the moment it just leaves the second tunnel. 23. Rate at which energy is incident on 1 m 2 area facing the sun is 1400 W. The average area of the roof top of a moderate home is 150 m 2. Since the angle of incidence of the energy from sun on the roof top varies during the day, the average rate for a 12 hour duration is half of the maximum rate of incidence at the noon time. Find the energy received in 12 hour duration by the roof of the building. Assuming yield of 200 MeV per reaction in the fission of uranium nucleus, find the number of reactions that produce the same amount of energy as provided by the sun to the roof in the 12 hour duration. 24. If the measured potential difference between A and B is 5.4 V, find the rate of heat production in the ring. Also find the rate of heat production in sections ACB and ADB. 25. A piece of ice at -10 o C is heated to -1 o C using a certain quantity of energy. Then another 20 times as much energy is necessary to finally obtain water. Using that the specific heat of ice is half of the specific heat of 4.2 Kj/ (kg o C)of water, determine the heat of fusion of ice from the above measurement data. 26. A solid sphere and a hollow sphere of same external radius and made of same material are floating in water. Solid sphere has three fourths of its volume submerged and the hollow sphere is half submerged. What fraction of the volume of hollow sphere is hollow? PART C :: CHEMISTRY Attempt all questions. Each question carries 3 marks. SECTION - A : Each question is provided with 4 - alternative answers. One or more than one of them are correct answers. Indicate the correct answer by A, B, C, D. 27. List -I List - II A) NH 4 + 1) SP 3 - two lone pairs B) H 3 O + 2) SP 2 - one lone pair C) XeO 3 3) SP 3 - no lone pairs D) SO 3 4) SP 3 - one lone pair 5) SP 2 no lone pairs Correct match is A B C D A B C D A B C D A B C D a) b) c) d) The organic compound is taken in a clean test tube and some ammonica silver nitrate solution is added to it. The mixture is then warmed. The formation of a shining silver mirror on the sides of the test tube takes place. This indicates the presence of (a) carboxylic acid group in the organic compound (b) ketone group in the organic compound (c) aldehyde group in the organic compound (d) ester group in the organic compound. 5 6

6 29. A real gas behaves like an ideal gas at (a) low pressure and high temperature (b) low pressure and low temperature (c) high pressure and high temperature (d) none of these 30. Equal volumes of 0.5M HCl, 0.25M NaOH and 2.75 MNaCl are mixed. The molarity of the Cl - ion and NaCl respectively A) 1.0 M & 1.0 M B) 1.0 M & 2.0 M C) 1.0 M & 0.5 M D) 2.0 M & 1.0 M 31. Complete the reactions (i) CaO + C A+B (ii) A+N 2 (iii) D + H 2 O E + NH 3 electric D+ graphite furnace Identify the compound A, B, D, E g of a HydroCarbon on combustion gave 1.8g of water. The percentage of Carbon is about (a) (b) (c) (d) Indicate for each of the bonds in the following molecules the bond type (or p) and atomic orbitals that overlap to form the bond. A) CH 3 Cl B) C 2 H 2 C) HCN D) None 34. Heavy water is? a) H 2 18 O b) water obtained by repeated distillation c) D 2 O d) water at 4 0 C? 35. Which group is always taken as substituent in the nomenclature? a) NH 2 b) NO 2 c) CN d) C=0 36. Which of the following is a compound of Ethyne? (a) Acetylene (b) Acetaldehyde (c) Acetic acid (d) Acetone SECTION -B: In each question a blank or blanks are left. Fill in the blank(s) with relevant answers(s). 37. The value of n in the molecular formula Be n Al 2 Si 6 O 18 is_ 38. The weight percentage of NaCl solution is 10. If the weight of solution is 150 gr. calculate weight of NaCl 39. A + B C + D + Heat, is reaction 40. If one mole of electrons per sec are passing through a point across metallic wire, calculate the charge in coloumbs passing in one sec. 41. The volume of O 2 is produced at STP by the decomposition of one mole of potassium chlorate is 42. Chemical name of bleaching powder is 43. The element X(Z=85) combines with element Y(Z=38). The formula of the binary compound is 44. The Molarity of Ca(OH) 2 solution is 5 x 10-5 M. Its ph is 45. Between dil. H 2 SO 4 and conc. H 2 SO 4, is stronger acid. 46. Solution of FeCl 3, in water is 7 8

PART A. 4cm 1 =1.4 1 =1.5. 5cm

PART A. 4cm 1 =1.4 1 =1.5. 5cm PART A Straight Objective Type This section contains 30 multiple choice questions. Each question has 4 choices (1), (), (3) and (4) for its answer, out of which ONLY ONE is correct. 1. The apparent depth