VIBRANT ACADEMY. (India) Private Limited. A-14(A), Road No.1, Indraprastha Industrial Area, Kota (Raj.) SAMPLE PAPER (MICRO/NANO COURSE)

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1 VIRNT DEMY (India) Private Limited -4(), Road No., Indraprastha Industrial rea, Kota (Raj.) Website : SMPLE PPER (MIRO/NNO OURSE) Time : Hours Maximum Marks : 6 Please read the instructions carefully. You are allotted 5 minutes specifically for th purpose. (i) (ii) (iii) (iii) (vi) (v) (vi) (vii) (viii) INSTRUTIONS The question paper has 7 printed pages excluding nswer Sheet. Please ensure that the copy of the question paper you have received contains all pages. The question paper contains 60 questions. The Question paper consts of II Sections. For each question in Section-I, you will be awarded 3 marks if you have darken only the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. No negative marks will be awarded in th Section. For each question in Section-II, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble darkened. In case of bubbling of incorrect answer, minus one ( ) mark will be awarded. Each question contains four alternatives out of which only ONE correct. Indicate the correct answer for each question by filling appropriate bubble in your answer sheet. For rough work, use the space provided at the bottom of each page. No extra sheet will be provided for rough work. Use of alculator, Log Table, Slide Rule and Mobile not allowed. The answer of the questions must be marked by shading the circles against the question by dark pencil only. For example if only '' choice correct then, the correct method for filling the bubble D the wrong method for filling the bubble are (a) D (b) D (c) D The answer of the questions in wrong or any other manner will be treated as wrong. Name of the candidate Regn. Number I have read all the instructions and shall abide by them. I have verified all the information filled in by the candidate Signature of the andidate Signature of the invigilator

2 SETION-I Single orrect hoice Type Th part contains 4 multiple choice questions. Each question has 4 choices (), (), () and (D) for its answer, out of which ONLY ONE correct.. Which one of the following not a pure substance? () Ice () Iron () rick (D) alcium oxide cosec sec. Given that tan =, the value of 3 cosec sec () () () (D) 3. If we want to see our full image then the minimum size of the plane mirror : () Should be twice of our height. () Should be of our height. () Should be half of our height. (D) Depends upon our dtance from mirror. 4. The value of k for which the pair of linear equation 4x + 6y = 0 and x + ky 7 = 0 represent parallel lines () k = 3 () k = () k = 4 (D) k = 5. The most important safety method used for protecting home appliances from short circuiting or overloading : () Earthing () Use of fuse () Use of stabilizers (D) Use of electric meter 6. The radii of two cylinder are in the ratio 3 : 5. If their heights are in the ratio : 3, then the ratio of their curved surface areas () : 5 () 5 : () : 3 (D) 3 : 5 7. It x, then (x 3) 3 7 () () 3 () 6 (D) 7 8. How many atoms are present in H S molecule? () () () 3 (D) 4 9. The value of m for which m () 3 () 4 () 3 (D) 0. Write the dtribution of electrons in sodium atom? (), 8, (), 8, (), 8, 3 (D), 8, 4. The value of (.3) (.3) () () 3 ().37 (D).73. You have solutions, &. The ph of solution 6 that of 8. Which solution more acidic? () () () oth equally acidic (D) annot be determined Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) []

3 3. The value of k for which x a factor of 4x 3 + 3x 4x + k () 3 () () (D) 3 4. If what the value of y? yº xº 3xº 3 () 00 () 0 () 35 (D) What the common name of the compound aol? () austic soda () Washing soda () leaching powder (D) Plaster of Par 6. utanone a four carbon compound with the functional group? () arboxylic acid () ldehyde () Ketone (D) lcohol 7. an osceles triangle sum that = and D the median to base. Then D 35 D () 55 () 70 () 35 (D) 0 8. body thrown vertically upward with the velocity u, the greatest height h to which it will re : () u/g () u /g () u /g (D) u/g 9. In a quadrilateral D, + times + D, if = 40 then = () 60 () 80 () 0 (D) None of these 0. The combined effect of mass and velocity taken into account by a physical quantity called : () Torque () Momentum () Moment of force (D) Moment of inertia. In figure O the centre of the circle such that O = 30 then = O 30º () 30 () 5 () 65 (D) 65. When a body immersed in a liquid, it undergoes an apparent : () Loss in its mass () Loss in its volume () Loss in its weight (D) No loss in any respect 3. Two cylindrical jars have their diameters in the ratio 3 : but height : 3 then the ratio of their volume () : 4 () : 3 () 3 : (D) : 5 4. flying aeroplane possesses : () Only PE () Only KE () oth PE + KE (D) No energy Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) [3]

4 SETION-II Single orrect hoice Type Th part contains 4 multiple choice questions. Each question has 4 choices (), (), () and (D) for its answer, out of which ONLY ONE correct. 5. lens placed between a lamp and a screen which are 8 cm apart, so that the image on the screen three times as large as the lamp. The dtance between the lamp and the lens () 3. cm () 3.8 cm () 4. cm (D) 4.5 cm. 6. Two coins are tossed simultaneously. The probability of getting atmost one head () 3 () 4 3 () (D) 4 7. ball thrown straight up in the air. t its highest point () the velocity and acceleration are zero. () the velocity non zero but the acceleration zero. () the acceleration non zero but the velocity zero. (D) the velocity and acceleration are both non zero. 8. In figure, if DE, then x equals cm 3cm D 4cm E x () 6 cm () 8 cm () 0 cm (D).5 9. spring balance carrying a load of kg dropped freely from a certain height. The reading of the spring balance during free fall would be () 50 Kg () 0 Kg () 30 Kg (D) Kg 30. If TP and TQ are two tangents to a circle with centre O so that POQ = 0, then, PTQ equal to () 60 () 70 () 80 (D) Fe O 3 + O 3 + Fe The above reaction an example of a () ombination reaction () Decomposition reaction () Double dplacement reaction (D) Dplacement reaction 3. If the circumference of a circle equal to the perimeter of a square then the ratio of their areas : () : 7 () 4 : () 7 : (D) 7 : 33. solution turns red litmus blue, its ph likely to be : () () 4 () 5 (D) If n = 67 then find the unit digit of [3 n + n ]. () () 0 () 5 (D) None Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) [4]

5 35. Ethane with the molecular formula H 6 has. () 0 covalent bonds () 8 covalent bonds () 7 covalent bonds (D) 9 covalent bonds 36. If the quadratic equation (a b )x + (b c )x + (c a ) = 0 has equal roots, then which of the following true? () b + c = a () b + c = a () b c = a (D) a = b + c 37. Two bodies and having masses in the ratio of 3 : posses the same kinetic energy. The ratio of linear momentum of to () : 3 () 3 : () : 3 (D) 3 : 38. In the following figure (not to scale), D = 60º, D = 80º and E = PDE. Find PE P E D () 60º () 80º () 0º (D) 40º 39. The current from to increasing in magnitude. What the direction of induced current, if any, in the loop shown in figure? () No current induced () anti clockwe current () clockwe current (D) lternating current 40. The sides of a quadrilateral are all positive integers and three of them are 5, 0, 0. How many possible value are there for the fourth side? () 9 () 3 () 3 (D) Three identical restances are connected a constant-voltage of 0 V as shown in Fig. What potential difference across LM. () 80V () 0V () (0/3)V (D) None Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) [5]

6 4. If ( 9 4 x ) 7, then x = () 84 () 8 () (D) Which element has shells, both of which are completely filled with electrons? () Helium () Neon () rgon (D) Radon 44. rationalizing factor of () (4 /3 + ) () 4 /3 () /3 + (D) /3 45. The modern atomic weight scale based on : () () O 6 () H (D) If tanp + cotp =, then the value of tan n P + cot n P. () () n () n (D) n+ 47. alculate number of neutrons present in 0 5 atoms of oxygen ( 8 O 7 ). (Given N = atoms) () 800 () 600 () 800 N (D) 300 N 48. Two circles are concentric. chord of the larger circle tangent to the smaller. If the area of the annulus, express the length of the chord in terms of. () () () (D) Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) [6]

7 MENTL ILITY Single orrect hoice Type Th part contains multiple choice questions. Each question has 4 choices (), (), () and (D) for its answer, out of which ONLY ONE correct. 49. Pointing to a woman, Naman said, 'She the daughter of the only child of my grandmother.' How the woman related to Naman? () Ster () Niece () ousin (D) Mother 50. Which of the following diagrams correctly represents Elephants, Wolves, nimals () () () (D) 5. In a row of students, Deepak seventh from the left and Madhu twelfth from the right. If they interchange their positions, Deepak becomes twenty-second from the left. How many students are there in the row? () 9 () 3 () 35 (D) None of these 5. If 3 4 = 5; 5 34 = 47; 4 5 = 37, then =? () 68 () 64 () 85 (D) () 6 () 8 () 0 (D) Z, X, FU,.... () R () V () JQ (D) KP 55. JE, LH, OL, SQ,.... () WV () WX () VW (D) XW 56. Find the next term 0,, 6, 4, 40,... () 60 () 56 () 70 (D) clock so placed that at noon its minute hand points towards North-east. In which direction does its hour hand point at : 30 p.m. () North () South () East (D) West 58. If in a certain language, LUTT coded as GEPGYXXE which word would be coded as FSQFE? () OMY () OMY () OMY (D) OYM 59. : 69 :: :? () 54 () 49 () (D) hoose the odd numeral pair in each of the following options : () 8 63 () 4 48 () 5 (D) 3 39 Vibrant cademy (I) Pvt. Ltd. "-4()" Road No., Indraprastha Industrial rea, Kota (Raj.) [7]

* Terms & Conditions apply. Name of the Student :... Reg. No. :... Duration : 1.30 hour Max. Marks : 114

* Terms & Conditions apply. Name of the Student :... Reg. No. :... Duration : 1.30 hour Max. Marks : 114 Vision Infinity Scholarship Award IIT-JEE 0 Students of Vision Infinity who secure All India Rank in IIT JEE within top00,will be Awarded scholarship for four years during B.Tech in IIT Model Test Paper