ADMISSION TEST. One Year Classroom Program (XI to XII moving IIT)

Transcription

1 [] INSTRUCTINS : ADMISSIN TEST ne Year Classroom Program (XI to XII moving IIT) Time : Hr. IQ & PCM Max. Marks : 75 Please read the instructions carefully. You are allotted 5 minutes specifically for th purpose.. There are 65 questions in th paper.. Each question has only NE, correct answer. In case you wh to change an answer, erase the old answer and mark your fresh choice. 3. For each correct answer in IQ(Q. No. to 0) marks and PCB(Q. No. to 65) 3 marks will be awarded. For each wrong answer mark will be deducted. 4. Use of calculator not permitted. 5. Use of Logarithmic table not permitted. 6. Darken the bubble by pencil only. 7. Write your Roll number, Name at the specified space on the MR Sheet. 8. All the notations used in th paper are standard. NCR T BE FILL IN CAPITAL LETTERS NAME F THE STUDENT: FATHER NAME : RLL N : TEST DATE: vit us at: narayanadwarkacentre@gmail.com

2 [] Direction (Question No. 5): In each of the following questions, there a certain relationship between two given words on one side of : : and one word given on another side of : : while another word to be found from the given alternatives, having the same relation with th word as the words of the given pair has. Choose the correct alternative.. Glucose : Carbohydrate : : Soyabean :? (A) Proteins (B) Vitamins (C) Minerals (D) Legumes. Market : Demand : : Farming :? (A) Farmer (B) Monsoons (C) Foodgrain (D) Supply 3. Atom : Matter : : Particle :? (A) Proton (B) Electron (C) Molecule (D) Dust 4. Square : cube : : Triangle :? (A) Sphere (B) Cylinder (C) Cuboid (D) Prm 5. Professor : Lecture : : Doctor :? (A) Hospital (B) Dease (C) Medicine (D) Patient IQ. 8, 3,, 3, 47, 63, 83 (A) 3 (B) 3 (C) 47 (D) 63. 5, 0, 7, 4, 37 (A) 0 (B) 7 (C) 4 (D) , 7, 3, 33, 36 (A) 4 (B) 7 (C) 3 (D) 33 4., 3, 7, 5, 7, 63, 7 (A) 7(B) 5 (C) 7 (D) , 4, 30, 64, 6 (A) 6(B) 4 (C) 64 (D) 6 Directions: (5 7): Study the figure given below carefully and answer the questions that follow: 6. In a row of girls, when Monika was shifted by four places towards the right, she becomes th from the left end. What was her earlier position from the right end of the row? (A) 9 th (B) 0 th Direction (Question No. 6 0): In each of the following questions, four groups of letters are given. Three of them are alike in a certain way while one different. Choose the odd one 6. (A) VT (B) Q (C) LJ (D) GF 7. (A) HGF (B) XWV (C) NML (D) PQ 8. (A) PRT (B) MQ (C) GEC (D) TVX 9. (A) BDH (B) IKP (C) QSW (D) TVZ 0. (A) BYX (B) LP (C) EIH (D) SWV Direction (Question No. 5): In each of the following questions, one term in the number series wrong. Find out the wrong term. (C) th (D) 4 th 7. A the widow of B, B and C were the only children of E, C unmarried and a doctor. D the grand daughter of E and studies science. How A related to D? (A) Aunt (B) Mather (C) Ster (D) Ster-in-law 8. Bantu the brother of Chetan. Chetan has another brother i.e. Arun. Deepak the husband of Chetan. Arun the son of Rita. How Rita related to Deepak. (A) Ster-in-law (B) Mother-in-law (C) Father-in-law (D) Father 9. A man goes 5 km east, then he turns right and goes 4 km, then he turns left and goes 5 km. Which direction the from the starting point (A) North-west (B) North-east (C) East (D) West 0. A starts from h 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. When he from the starting point. (A) 5 km. (B) 0 km. (C) 0 km. (D) in h own office

3 [3] PHYSICS. A particle moves along the x-ax from x = x to x = x under the influence of a force given by F = x. Work done in the process () Zero () x x x x x x x x. A position dependent force F 7 x 3x N acts on a small body of mass kg and dplaces it f r o m x = 0 to x = 5m. Work done in joule () 35 () The P.E. and K.E. of a helicopter flying horizontally at a height 400 m are in the ratio 5 :. The velocity of helicopter () 8 m/s () 4 m/s 56 m/s 30 m/s 4. A ball dropped from a height of m. If coefficient of restitution between the surface and the ball 0.6, the ball reounds to a height of () 0.6 m () 0.4 m m 0.36 m 5. A shell of mass m moving with velocity v suddenly breaks into pieces. The part having masses m/4 remains stationary. The velocity of other part will be () v () v 3 4 v v Percentage change in K.E. of a particle 300%. Then percentage change in its linear momentum will be () 00% () 50% 300% 50% 7. A body revolving with a uniform speed v in a circle of radius r. The tangential acceleration () v/r () v /r zero v/r 8. If the resultant of all external forces zero, then velocity of centre of mass will be () zero () constant either () or () neither () nor () 9. The dplacement of a particle represented by the equation y 3cos t.the motion of the 4 particle : () Simple harmonic with period / () Simple harmonic with period / Periodic but not simple harmonic Non-periodic 30. The dplacement of a particle varies with time according to the relation: y a sin t b cost Choose the correct statement () The motion oscillatory but not SHM () The motion SHM with amplitude (a+b) The motion SHM with amplitude (a +b ) The motion SHM with amplitude a b 3. A particle executes simple harmonic motion between x = A and x = +A. The time taken for it to go from 0 to A/ T and to go from A/ to A T. Then () T < T () T > T T = T T = T 3. Two metallic plates of equal thickness and thermal conductivities k and k are put together face to face and a common plate constructed. The equivalent thermal conductivity will be: () kk k k k k k l () k l kk k k k 3/ k k k 33. Three identical conductors are connected as shown in figure. Considering no heat lost due to radiation, the temperature of the junction : () 60 C () 0 C 50 C 0 C 34. A body cools from 50 C to 49.9 C in 5 s. Assuming Newton s law of cooling and temperature of surroundings fixed at 30 C, how long will the same body take for cooling from 40 C to 39.9 C? ().5 s () 5.0 s 0 s 7.5 s 35. A black body at temperature 7 C radiates heat at the rate of 5 cal/ cm s. At a temperature of 77 C, the rate of heat radiated per unit area in cal/cm s closest to: () 0 ()

4 [4] EMISTRY 36. ne mole of acidified K Cr 7 on reaction with excess KI will liberate... moles of I () 6 () Which of the following species can function as an oxiding as well as reducing agent? () Cl () Cl 4 Cl Mn Azimuthal quantum number determines the () size () spin orientation angular momentum of orbitals 39. Wave nature of electron was demonstrated by () Schrodinger () Davson de Broglie Heenberg 40. The strength of bonds s-s, p-p and p-s overlap has the order () s s > p p > p s () s s > p s > p p p p > p s > s s p p > s s > p s 4. V vs T curves at constant pressure P and P for an ideal gas are shown below. in solid NaCl, electrons are localized between Na + and Cl ions Na + and Cl in solid NaCl are not free to move 46. The correct formula of borax () Na [B 4 5 (H) 4 ].8H () Na B 4 7.4H Na [B 4 5 (H) 4 ].0H Na B 4 7.8H 47. The IUPAC name of the compound H () Bicyclo [, 4, 0] octan-3-ol () Bicyclo [4,, 0] octan-3-ol Bicyclo [4,, 0] octan-4-ol Bicyclo [4,, 0] octan-6-ol 48. Which of the following heterocyclic aromatic species? () () P V T Which correct () P > P () P < P P = P All of the above 4. XY dsociates as XY g XYg Yg, when the initial pressure of XY 600 mm Hg, the total equilibrium pressure 800 mm Hg. Calculate K for the reaction assuming that the volume of the system remains unchanged. () 50 () The reaction given below P BaCl s H l BaCl.H s ; H x kj, The value of H represents () Enthalpy of solution () Enthalpy of solution Enthalpy of combustion Enthalpy of hydration 44. Alkali metal oxides are soluble in () Carbon tetrachloride () Benzene Water Kerosene oil 45. solid sodium chloride a bad conductor of electricity because () solid NaCl covalent () in solid NaCl there are no ions N H 49. Which of the following represents the correct order of stability of carbocations? () 3 3 () C > 3 > 6 5 C H C H 3 > C > > C6H5 C H > > C > C6H5 C H C6H5 C H 3 3 > > C > > 3 C H 50. Propene ( 3 = ) can be converted into - propanol by oxidation. Indicate which set of reagents amongst the following ideal to effect the above conversion () KMn 4 (alkaline) () smium tetraoxide B H 6 and alk. H (hydroboration oxidation) 3 / Zn dust

5 [5] MATHS 5. If log x 4 + log x 6 + log x 64 =, then the value of x () () The set of values of x which satfy 5x + < 3x + 8 and x x () (, 3) () (, ) È (, 3) (, ) (, 3) A A H H HH () GG GG A A equal to () GG H H GG A A 53. The value of lim x / 8x 6x 34 () 3/4 () /4 / none of these 54. The area enclosed by x + y () 3 sq. units () 9 sq. units sq. units sq. units. 55. The incenter of the triangle formed by the lines x = 0, y = 0 and 3x + 4y = (),, () (, ), 56. The center of following circle (x h) + (y k) = r () (0, 0) () (r, 0) (0, r) none of these 57. If (x + iy) ( p + iq) = (x + y ) i, then () p = x, q = y () p = x, q = y x = q, y = p none of these 58. The sum of n terms of the series a, a + d, a + d a + (n )d () n [a (n )d] () a + (n )d 3n [a (n )d ] none of these 59. If A, A are two AM s G, G are two GM s and H, H are two HM s between two numbers, then 60. If 34 C n+7 = 34 C 4n+, then the value of n () 8 () If tana = of a + b m m and tanb = m () p/ () p/6 p/4 p/3, then the value 6. The lines 3x 4y + 4 = 0 and 3x 4y 5 = 0 are tangents to the same circle. The radius of th circle () /5 () /0 9/0 9/5 63. Both the roots of the equation (x a) (x b) + (x b) (x c) + (x c) (x a) = 0, are always () positive () negative real none of these PASSAGE TYPE [Questions 64 to 65] The trigonometric expression a cos q + b sin q can be expressed either in the form rcos (q a) where r a b and tan or in the form rsin (q +a) a b where and these are called polar forms of a cos q + b sin q 64. The minimum value of 7 cos q + 4 sin q () 5 () sin x 4 cos x + 7 never greater than () () 3 5 7