NARAYANA I I T A C A D E M Y A D M I S S I O N T E S T Two Year Classroom Program (X to XI moving IIT) IQ & PCM Time: 0 Min. Maximum Marks: 75 INSTRUCTIONS Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.. There are 65 questions in this paper.. Each question has only ONE, correct answer. In case you wish to change an answer, erase the old answer and 3. 4. 5. 6. 7. 8. 9. mark your fresh choice. For each correct answer in IQ marks and PCM 3 marks will be awarded. For each wrong answer mark will be deducted. Question No. to 0 of IQ, to 35 of Physics, 36 to50 of Chemistry and 5 to 65 of Mathematics. Use of calculator is not permitted. Use of Logarithmic table is not permitted. Darken the bubble by pencil only. Write your Roll number, Name at the specified space on the OMR Sheet. All the notations used in this paper are standard. NARAYANA IIT ACADEMY TO BE FILL IN CAPITAL LETTERS NAME OF THE STUDENT: FATHER NAME : ROLL NO : TEST DATE: visit us at: www.narayanadwarka.blogspot.in, www.narayanapatna.blogspot.in e-mail: narayanadwarkacentre@gmail.com
IQ Direction (Question No. ): In each of the following questions, there is certain relation between two given numbers on one side of : : and one number is given on another side of : : while another number is to be found from the given alternatives, having the same relation with this numbers as the number of the given pair bear. Choose the best alternative.. 6 : 4 : : 8 :? (A) 63 (B) 57 (C) 70 (D) 80 Direction (Question No. 3): Each of the following questions consists of a pair of numbers that have a certain relationship to each other, followed by four other pairs of numbers given as alternatives. Select the pair in which the numbers are similarly related as in the given pair.. 8 : 67 (A) 9 : 85 (B) 7 : 49 (C) 6 : 43 (D) 9 : 84 3. 5 : 5 (A) 6 : 8 (B) 7 : 9 (C) 64 : 8 (D) 8 : 6 Direction (Question No. 4): If > denotes +, < denotes, + denotes, ^ denotes, denotes =, denotes > and = denotes <, choose the correct statement in each of the following questions. 4. (A) 3 > 7 < 6 + = 3 4 (B) 9 > 5 > 4 8 + 9 > 6 (C) 9 < 3 < > 8 (D) 8 + 4 = 6 4 + Direction (Question No. 05 07): Find the missing numbers in the following figures. 8 5. 36 35 64 44 49 7 5 6 69 8? 65 64 (A) 45 (B) 74 (C) 55 (D) 89
8 6. 3 93 4 6 5 74 7 8 5 8? 7 3 (A) 47 (B) 46 (C) 40 (D) 48 3 7 5 7. 74 5 6 4 7 9 5? 6 7 (A) (B) (C) 73 (D) 4 Direction (Question No. 8 0): Coding-Decoding 8. If 'Rain' is 'water', 'Water' is 'Road', 'Road' is Cloud', 'Cloud' is 'Sky', 'Sky' is 'Sea' and 'Sea' is 'Path', where do aeroplane fly? (A) Road (B) Sea (C) Cloud (D) Water 9. If 6783 stands for PRINCE, then 83 stands for (A) CINE (B) PINE (C) NICE (D) RICE 0. If POWER stands for 754, then ROW stands for (A) 45 (B) 45 (C) 54 (D) 54 Direction: (Q. 3) In each of the following questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces :., 9, 8, 65, (..) (A) (B) 95 (C) 6 (D) 03., 5, 9, (..), 0, 7 (A) 4 (B) 6 (C) 8 (D) 4 3. 4, 5, 9, 8, 34, (..) (A) 43 (B) 49 (C) 50 (D) 59
4. A starts from his office and walks 3 km. towards north. Then he turns right and walks km. and then right and walks 5 km. then again right and walks km. and then right and walks km. Where he is from the starting point. (A) 5 km. (B) 0 km. (C) 0 km. (D) in his own office Directions (Q. 5) : In the following questions, select the one which is different from the other. 5. (A) SESSION (B) MONTH (C) WEEK (D) FORTNIGHT Directions (Q. 6 0) : Read the following information carefully and answer the questions given below it : There are six persons A, B, C, D, E and F in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D s optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F s compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A s subjects but in terms of compulsory and optional subjects, they are just reverse of those of D s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. 6. What is C s compulsory subject? (A) History (C) Chemistry 7. Who is a female member in the group? (A) A (C) C (B) Physics (D) English (B) B (D) D 8. Which of the following has same compulsory and optional subjects as those of F s? (A) D (B) B (C) A (D) cannot be determined 9. Disregarding which is the compulsory and which is the optional subject, who has the same two subject combination as F? (A) A (B) V (C) E (D) D 0. Which of the following groups has History as the compulsory subject? (A) A, C, D, (B) B, C, D (C) C, D (D) A, B, C PHYSICS. The specific resistance of a wire is, its volume is 3 3 m and its resistance is 3 ohms, then its length will be
(A) (B) 3 (C) 3 (D) 3. A certain piece of silver of given mass is to be made like a wire. Which of the following combination of length (L) and the area of cross-sectional (A) will lead to the smallest resistance (A) L and A (B) L and A/ (C) L/ and A (D) Any of the above, because volume of silver remains same 3. Two resistors of resistance R and R having R R are connected in parallel. For equivalent resistance R, the correct statement is (A) R R R (B) R R R (C) R R ( R R ) (D) R R 4. The purpose of the glass cover on top of a box-type solar cooker is to (A) allow one to see the food being cooked (B) allow more sunlight into the box (C) prevent dust from entering the box (D) reduce heat loss by radiation 5. The condition for producing biogas is (A) air but not water (B) water but not air (C) air and water (D) neither air nor water 6. A charge q coulomb moves in a circle at n revolutions per second and the radius of the circle is r metre. Then magnetic field at the centre of the circle is q (A) 0 nr 7 N/amp/metre (B) q 0 r 7 N/amp/metre (C) nq 0 7 N/amp/metre r (D) q r N/amp/metre
7. A coil having an area A 0 is placed in a magnetic field which changes from B0 to 4B 0 in a time interval t. The e.m.f. induced in the coil will be (Here number of turns in the coil N = ) 3A0 B0 (A) t 4A0 B0 (B) t 3B0 (C) A t 0 4B0 (D) A t 0 8. The current flowing in two coaxial coils in the same direction. On increasing the distance between the two, the electric current will (A) Increase (C) Remain unchanged (B) Decrease (D) The information is incomplete 9. If rotational velocity of a dynamo armature is doubled, then induced e.m.f. will become (A) Half (B) Two times (C) Four times (D) Unchanged 30. The output of a dynamo using a splitting commutator is (A) dc (C) Fluctuating dc (B) ac (D) Half-wave rectified voltage 3. What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other (A) 60 (B) 90 (C) 0 (D) 75 3. A plane mirror is approaching you at a speed of 0 cm/sec. You can see your image in it. At what speed will your image approach you (A) 0 cm/sec (B) 5 cm/sec (C) 0 cm/sec (D) 5 cm/sec 33. The field of view is maximum for (A) Plane mirror (C) Convex mirror (B) Concave mirror (D) Cylindrical mirror 34. The refractive index of a certain glass is.5 for light whose wavelength in vacuum is 6000 Å. The wavelength of this light when it passes through glass is
(A) 4000 Å (B) 6000 Å (C) 9000 Å (D) 5000 Å 35. In the given fig. incident and refracted rays are shown. The device kept inside the box is (A) (B) (C) concave mirror convex mirror convex lens (D) concave lens CHEMISTRY 36. Which of the following is not a combination reaction? (A) Fe + S FeS (B) CaO + CO CaCO 3 (C) NH 3 + HCl NH 4 Cl (D) AgNO 3 + NaCl AgCl + NaNO 3 37. If iron nails are kept in CuSO 4 solution for two hours, the colour of the solution will change in to (A) Pink (B) Red (C) Light green (D) Yellow 38. Acid-base neutralization reaction is (A) endothermic (C) neither endothermic nor exothermic (B) exothermic (D) both endothermic and exothermic 39. Aqueous solution of HCl has the ph 4. Its molarity would be (A) 4 M (C) 0.000 M (B) 0.4 M (D) 0 M 40. The order of reactivity with oxygen is in the order (A)Mg > Na > Zn > Fe (B) Na > Mg > Zn > Fe (C) Na > Fe > Mg > Zn (D) Fe > Mg > Na > Zn 4. Reduction of metal oxide by aluminium is called (A) Permutit (B) Thermit
(C) Smelting (D) Zone refining 4. Lother Meyer plotted curve between atomic volume (atomic mass / density) of the elementary and their atomic masses according to his classification which statement is correct (A) The most electropositive element called alkali metals occupy the peaks on the curve (B) The less electropositive element called alkaline earth metals occupy the decreasing positive on the curve (C) The most electronegative elements called Halogens occupy the ascending positive on the curve (D) All the above 43. Which pair of atomic numbers represents elements in the same group? (A), 9 (B) 6, (C) 4, 6 (D) 8, 7 44. Functional group present in asprin O O O C CH 3 HO C are (A) Ester and aldehyde (B) Ester and ketone (C) Ester and carboxylic acid (D) Carboxylic acid and ether 45. The IUPAC name of this compound CH CH3 CH3 C CH CH3 is CH OH 3 (A) 3, 3-Dimethyl pentan--ol (B) 3-Ethyl-3-methyl butan--ol
(C) 3-Ethyl-3, 3-dimethyl Propan--ol (D),, -Trimethyl butanol 46. Ostwald process is used for manufacture of (A) H SO 4 (B) HNO 3 (C) HCl (D) NH 3 47. 9.7 kg of gold was recovered from a smuggler. How many atoms of gold were recovered? (Au = 97) (A) 60. 0 5 (B) 6.0 0 3 (C) 6.0 0 4 (D) 6.0 0 5 48. How many number of moles of carbon atoms are present in 540 grams of glucose (C 6 H O 6 )? [H =, C =, O = 6] (A) 3 moles (B) 6 moles (C) 8 moles (D) 8 moles 49. Match both the Columns and mark the correct option from the codes given below Column I (a) Highest electronegativity (b) Highest electron affinity (c) Highest electropositivity Column II (i) Caesium (ii) Fluorine (iii) Chlorine (A) (a) (i), (b) (ii), (c) (iii) (B) (a) (ii), (b) (iii), (c) (i) (C) (a) (iii), (b) (ii), (c) (i) (D) (a) (iii), (b) (i), (c) (ii) 50. Structure of 4-Methyl pent--ene is (A) (CH 3 ) CH CH CH = CH (B) (CH 3 ) CH CH = CH CH 3 (C) (CH 3 ) CH CH CH = CH CH 3 (D) (CH 3 ) C = CH CH CH 3 MATHEMATICS 5. If TA and TB are two tangents to a circle with center O, then the quadrilateral TAOB is (A) cyclic (B) non cyclic (C) a trapezium (D) none of these 5. Find the values of p for which the following systems of equations have exactly one solution
px + y = 5 3x + y = (A) p (B) p 6 (C) p 0 (D) none of these 53. The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is (A) : (B) 3 : (C) : (D) 6 : 54. Which term of the AP :, 4, 63, 84, is 40? (A) 5 th term (B) 0 th term (C) 0 th term (D) 5 th term 55. What is the centroid of the triangle whose vertices are (3, 5), ( 7, 4), (0, )? (A) (, ) (B) (, ) (C) (, ) (D) none of these 56. If tan = 3, then tan (90 0 ) is equal to (A) (B) (C) + 3 (D) 3 57. If the probability of wining a game is 0.3, the probability of losing it is (A) 0.5 (B) 0.6 (C) 0.7 (D) None of these. 58. If a series is given as, 4, 6, 8,.., then the nth term of this sequence is (A) n (B) n (C) n + (D) none of these 59. If px + qx + r = 0 has two roots &, then which of the following is true? (A) ( + ) r + q = 0 (B) ( + )r q = 0 (C) ( ) r q = 0 (D) none of these 60. The ratio in which the point (, 3) divide the line segment joining the points ( 3, 5) and (4, 9)? (A) : (B) : 6 (C) : (D) none of these 6. cos tan sin is equal to
(A) sin (B) cos (C) tan (D) cot 6. Given that 6cotA =, find the value of sin A cos A sin A cos A (A) (B) (C) 9 (D) 7 63. If p, q and r are in AP, then which one of the following statement is correct? (A) pq + qr q = 0 (B) pq + qr p = 0 (C) pq + qr pqr = 0 (D) none of these 64. The angle of elevation of a tower from a point 500 meters from its foot is 60. Find the height of the tower (A) 60 m (B) 500 3 m (C) 60 3 m (D) none of these 65. The value of k for which the roots of equation (x ) (x 5) + k =0 differ by is (A) 3 (B) 6 (C) 3 (D) /