FIITJEE Talent Reward Exam

Transcription

1 FIITJEE Talent Reward Exam PPER Time: 3 Hours Instructions: for student presently in Class 10 CODE 10 Maximum Marks: 70 Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results. 1. You are advised to devote 1 Hour on Section-I and Hours on Section-II and Section-III.. This Question paper consists of 3 sections. ll questions will be multiple choice single correct out of four choices with marking scheme in table below: Section Question no. Marking Scheme for each question SECTION I (IQ) SECTION II (PCM) SECTION III (PCM) correct answers wrong answers Q. 1 to Q. 9 to Part Physics Q. 17 to Part B Chemistry Q. 6 to Part C Mathematics Q. 35 to Part Physics Q. 44 to Part B Chemistry Q. 49 to Part C Mathematics Q. 54 to nswers have to be marked on the OMR sheet. 4. The Question Paper contains blank spaces for your rough work. No additional sheets will be provided for rough work. 5. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed. 6. Before attempting paper write your Name, Registration number and Test Centre in the space provided at the bottom of this sheet. Note: Check all the sheets of this question paper. Please ensure the same SET is marked on header of all the sheets inside as indicated above Maximum Marks of this page. In case SET marked is not the same on all pages, immediately inform the invigilator and CHNGE the Questions paper. Registration Number : Name of the Candidate Test Centre : : FIITJEE Ltd. ICES House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph : , Fax :

2 FTRE-013-IQ+PCM-X-Paper-(Set-)- Section-I IQ Directions (Q. 1 to 4): Find the missing number. 1., 9, 8, 65, () 11 (B) 195 (C) 16 (D) 103., 6, 14, 6,, 6 () 5 (B) 54 (C) 44 (D) , 18, 48, 100, () 180 (B) 00 (C) 19 (D) ,, 4, 34, () 460 (B) 510 (C) 307 (D) 5136 Directions (Q. 5 to 6): Find the odd one which is different from rest. 5. () 59 (B) 676 (C) 79 (D) () KP (B) HS (C) FW (D) MN FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

3 FTRE-013-IQ+PCM-X-Paper-(Set-)-3 7. Introducing a man, a woman said, He is the only son of my mother s mother. How is the woman related to that man? () Mother (B) Niece (C) unt (D) Sister 8. Ram starts walking towards south. fter walking 15 m he turns towards north. fter walking 0 m, he turns towards east and walks 10 m. He then turns towards south and walks 5 m. How far is he from his initial position? () 10 m (B) 5 m (C) 15 m (D) 7 m 9. If GO = 3, RM = 49, then PNKJ =? () 119 (B) 19 (C) 109 (D) Find the missing number ? 48 6 () 5 (B) 19 (C) 7 (D) Find the missing number ? () 16 (B) 73 (C) 76 (D) 94 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

4 FTRE-013-IQ+PCM-X-Paper-(Set-)-4 Direction (Q. 1 to 14): Read the passage given below and solve the questions based on it. There is a cube in which one pair of opposite faces is painted red; another pair of opposite faces is painted blue and the third pair of opposite faces is painted pink. This cube is now cut into 16 smaller but identical cubes. 1. How many small cubes will be there with no red paint at all? () 11 (B) 144 (C) 169 (D) How many small cubes will be there with at least two different colours on their faces? () 49 (B) 64 (C) 56 (D) How many small cubes will be there without any face painted? () 64 (B) 49 (C) 36 (D) 5 Directions (Q.15 to 16): Study the information given below and answer the questions that follow: Six lectures, B, C, D, E and F are to be organized in a span of seven days from Sunday to Saturday, only one lecture on each day in accordance with the following: (i) should not be organized on Thursday, (ii) C should be organized immediately after F. (iii) There should be a gap of two days between E and D. (iv) One day there will be no lecture (Friday is not that day), just before that day D will be organized. (v) B should be organized on Tuesday and should not be followed by D. 15. On which day there is no lecture? () Monday (C) Sunday (B) Friday (D) None of these 16. How many Lectures are organized between C and D? () None (B) Four (C) Two (D) Three FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

5 FTRE-013-IQ+PCM-X-Paper-(Set-)-5 Section-II Science and Mathematics (PCM) Physics (Part ) 17. Which of the following graphs best represents the current voltage relationship of an incandescent light bulb? () (B) I I (C) I O (D) I O O O 18. n image of small size can be obtained on a screen placed at.0 m from object. It can be done by using. () concave mirror of focal length 0.5 m (B) concave mirror of focal length greater than 0.5 m (C) concave mirror of focal length less than 0.5 m (D) concave lens of focal length less than 0.5 m. FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

6 FTRE-013-IQ+PCM-X-Paper-(Set-) Some statements are given as (i) The phenomenon of electromagnetic induction is producing electric current in a coil due to relative motion between a magnet and the coil. (ii) n electric motor converts mechanical energy into electrical energy. (iii) n electric generator works on the principle of electromagnetic induction. (iv) The field at the centre of a long circular coil(solenoid) carrying current will be parallel straight lines. Now choose the correct option. () Statements (i), (ii) and (iii) are correct. (B) Statements (ii), (iii) and (iv) are correct. (C) Statements (i) and (iv) are correct. (D) Statements (i), (iii) and (iv) are correct. 0. In the given diagrams, all light bulbs are identical and all emf devices are identical. In which circuit (, B, C, D) will the bulb be dimmest? () (B) (C) (D) FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

7 FTRE-013-IQ+PCM-X-Paper-(Set-)-7 1. Two mirrors M 1 and M are placed perpendicular to each other as shown. n object is placed at point O. The total no. of images made by mirrors are () 3 (B) 5 (C) 4 (D) M 30 O M 1. In which figure, the magnetic field lines due to a bar magnet are correctly shown. () (B) N N S S (C) (D) N N S S 3. Three convex lenses of equal focal length 0 cm are placed along a common optical axis PP' as shown. n object is placed at a distance of 30 cm, towards left of lens L 1. If final image coincides with the focus of lens L 3 then choose the INCORRECT option. () Image made by lens L 1 is at 0 cm left of L (B) Distance between L & L 3 must be 40 cm (C) Distance between L 1 & L must be 80 cm (D) Distance between L & L 3 may be 60 cm. P L 1 L L 3 P' FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

8 FTRE-013-IQ+PCM-X-Paper-(Set-)-8 4. student has to measure the resistance of lamp (L), using ammeter (), voltmeter () and rheostat (R). He constructed a circuit as shown R in the diagram. He shows his circuit to his teacher, and teacher said that circuit is wrong. His teacher advised to change the position of 10 some electrical components. The advice of his teacher should be () oltmeter () and rheostat (R) should be interchanged (B) Lamp (L) and voltmeter () should be interchanged (C) oltmeter () and ammeter () should be interchanged (D) The ammeter () should be in parallel with rheostat (R), not in parallel with lamp (L). L 5. n electron and a proton, each travel with equal speeds around the circular orbits in the same uniform magnetic field. The field is into paper in each diagram (not to scale). The electron is less massive than proton. Electron is negatively charged and proton is positively charged. Choose the correct representation of their motion on the circular orbits. (CW anticlockwise and CW clockwise) () p (B) p e e B B CW CW CW CW (C) p CW B CW e (D) p CW B CW e FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

9 FTRE-013-IQ+PCM-X-Paper-(Set-)-9 Chemistry (Part B) 6. Which of the following statement is wrong about sodium hydroxide? () It is a deliquescent substance (B) It is corrosive (C) It dissolves ferric oxide (D) It releases hydrogen gas with aluminium 7. What kind of reaction is this? ZnO + H SO 4 ZnSO 4 + H O () Combination reaction (C) Dissociation reaction 8. The aqueous solution of aluminium sulphate is: () cidic (C) mphoteric (B) Neutralization reaction (D) Redox reaction (B) Basic (D) Both (B) and (C) 9. mong the following groups of oxides, the group that is not reduced by smelting is () ZnO, Fe O 3 (B) SnO, PbO (C) MnO, ZnO (D) CaO, MgO 30. The oxidation number of sulphur is in () SO (C) 4 SO 3 (B) SO 3 (D) HS 31. The product of complete neutralization of H 3 PO 3 with NaOH is: () NaH PO 3 (B) Na HPO 3 (C) Na 3 PO 3 (D) Na 3 (HPO 3 ) 3. Which of the following can dissolve limestone? () NH 3 + H O (C) CaO + H O (B) NaOH + H O (D) CO + H O 33. t 5 C, ph of 10 3 M NaOH solution is () 3 (B) 8 (C) 11 (D) Which of the following reaction is not an example of thermite process? () 3MnO + 4l 3Mn + l O 3 (B) Cr O 3 + l Cr + l O 3 (C) l O 3 + Fe l + Fe O 3 (D) B O 3 + l B + l O 3 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

10 FTRE-013-IQ+PCM-X-Paper-(Set-)-10 Mathematics (Part C) 35. If BC DEF such that BC =.1 cm and EF =.8 cm. If the area of triangle DEF is 16 cm, then the area of triangle BC (in sq. cm) is () 9 (B) 1 (C) 8 (D) The expression x 3 + 3px 4x + p has a remainder of 5 when divided by x +, then the value of p is () 0 (B) 1 (C) (D) Two numbers are in the ratio 9 : 13. If their H.C.F. is 15, then the numbers are () 135, 185 (B) 135, 195 (C) 195, 55 (D) 155, If sin 1 + sin + sin 3 = 3, then cos 1 + cos + cos 3 is equal to () 0 (B) 1 (C) (D) circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 1 cm. The angle subtended by the arc at the centre is () 50 (B) 60 (C) 100 (D) The value of k for which the system of equation kx y =, 6x y = 3 has unique solution is () not equal to one (B) equal to three (C) not equal to zero (D) not equal to three 41. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 0, 50 respectively. The correct mean is () 48 1 (B) 8 (C) 50 (D) car completes first half of its journey with a velocity v 1 and the rest half with a velocity v. verage velocity of the car for the whole journey is v1 v () (B) v1v v1v (C) (D) none of these v v The number of positive integral solutions of x + 3y = 763 is () 15 (B) 16 (C) 17 (D) 18 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

11 FTRE-013-IQ+PCM-X-Paper-(Set-)-11 Section-III Science & Mathematics (PCM) Physics (Part ) 44. Seven equal resistors, each of resistance are connected with a battery of 3 in a circuit as shown in the figure. If i 1 is the current when switch S is open and i is the current when switch S is closed, the ratio of i 1 /i is () 4/3 (B) 5/6 (C) 6/5 (D) 3/4 S The diagram shows four arrangements of circular loops, centred at the vertical axis and carrying identical currents 10 in the directions indicated. The radius of smaller loop is 5 mm and larger loop is 10 mm. The separation between centre C 1 and C is 10 mm. Rank the arrangements according to the magnitudes of magnetic field at the mid points the loop on the central axes. C 1 C 1 C 1 C 1 C C C C (1) () (3) (4) () 1,, 3, 4 (B), 1, 3, 4 (C), 4, 3, 1 (D), 4, 1, 3 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

12 FTRE-013-IQ+PCM-X-Paper-(Set-) In the figure, voltmeter 1 reads 600, oltmeter reads 580, and ammeter reads 100. ll the measuring devices are ideal. The power wasted in the transmission line connecting the power house to the consumer is () 60 kw (C) 58 kw Power House (B) 4 kw (D) kw transmission line 1 transmission line Consumer 47. There are four mediums, separated by three parallel interfaces as shown in the figure. n incident ray strikes on the point of first medium with angle of incidence 60 and emerges from point C as shown in 1 the figure. Find the value of, Interface 3 Interface Interface = 1 C 3 = 3 B = (3/) 1 = 1 () 4 (B) 3 (C) (D) n electrical circuit is shown in the figure. Find the value of R so that power developed in R is maximum. () 8 (B) 7 (C) 6 (D) 4 0 B 4 R FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

13 FTRE-013-IQ+PCM-X-Paper-(Set-)-13 Chemistry (Part B) 49. Chemical is used for water softening to remove temporary hardness. reacts with sodium carbonate to generate caustic soda. What is? () Gypsum (B) Slaked lime (C) Quick lime (D) Limestone 50. Which of the following statement/s are correct. (i) Metals are good conductors of electricity and their conductivity increases as a temperature is lowered (ii) Ionic solids are generally brittle. (iii) Phosphorous is stored in water. (iv) Metals are typically malleable and ductile due to large adhesive force that holds the structure together. () I & II only (B) I & II only (C) II, III, I only (D) I, II, III only 51. HNO can be used as () reducing agent (C) Both () & (B) (B) n oxidizing agent (D) None of the above 5. The oxidation states of the most electronegative element in the products of the reaction of Na O with dilute H SO 4, are () and 1 (B) and +1 (C) and 0 (D) 1 and Melting point of magnesium halides decreases in the order. Choose correct option. () MgF > MgCl > MgBr > MgI (B) MgI > MgBr > MgCl > MgF (C) MgCl > MgBr > MgF > MgI (D) MgCl > MgBr > MgI > MgF FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

14 FTRE-013-IQ+PCM-X-Paper-(Set-)-14 Mathematics (Part C) 54. The value of a for which one root of the equation (a 5a + 3) x + (3a 1) x + = 0 is twice the other, is () 1 (B) 1/3 (C) 4/3 (D) /3 55. If 1,, 3, 4 are the roots of equation x x 3 0, then the value of (1 1 ) (1 ) (1 3 ) (1 4 ) is () 3 (B) 5 (C) 1 (D) If sin x y 1 =, then x must be x () 1 (B) (C) 3 (D) 57. number is successively divided by 8, 6 and 5 leaving 1, 5 and 4 as remainder respectively. The sum of remainders when order of divisors be reversed is () 10 (B) 19 (C) 14 (D) triangle has side lengths 4, 6, 8. tangent is drawn to the incircle parallel to side 4 cutting other two sides at M and N, then the length of MN is () 10 (B) (C) 5 3 (D) 4 3 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

15 FTRE-013-IQ+PCM-X-Paper-(Set-) (C) 1 3 1, 3 1, 3 3 1, (D) () = (B) , 3 3, 4 4, , 1 1,, (D) Other three are perfect square. 6. (C) Sum of other three is (B) Niece (FTRE-013) CLSS X HINTS (SET-) PPER- 8. () DO = BC = 10 m B 10 C 5 5 O 10 D 9. (C) PNKJ = = 109. Sum of positional value of alphabets in reverse order. 10. () FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

16 FTRE-013-IQ+PCM-X-Paper-(Set-) (D) 4 1 1, Directions (Solution for Q. 1 to 14): 1. (B) Cube with no red paint at all = 16 7 = (C) Cube with at least two different colours on their faces = different colours + 3 different colours = = () The number of cubes without any face painted = Directions (Solution Q.15 to 16): Sunday Monday Tuesday Wednesday Thursday Friday Saturday D X B E F C 15. () Monday 16. (D) Three lectures are organized between C and D. 17. Self explanatory 18. Concept: Ray diagram of concave lens (Refraction) 19. Concept: Electromagnetic induction 0. Self explanatory 1. M I 3 O 30 O M 1 I I 1. Properties of magnetic field lines. 3. for image distance made by L v u f v ( 30) v 0 30 v = 60 cm Concept by using lens formula and ray tracing O 30cm 60cm 0cm L 1 L 0cm L 3 I FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

17 FTRE-013-IQ+PCM-X-Paper-(Set-) Self explanatory 5. Self explanatory 6. Ferric oxide is basic in nature hence do not react with NaOH. 7. Zinc oxide is a base and H SO 4 is an acid. 8. l (SO 4 ) 3 on hydrolysis gives l(oh) 3 & H SO 4, and therefore will be acidic in nature. 9. Oxides of reactive metals like Ca & Mg forms very strong bond with oxygen which cannot be broken by smelting. 30. O. No. of S. In SO 6 4 SO 4 3 S O 3 HS 31. H 3 PO 3 is a dibasic acid. 3. CaCO3 CO HO Ca(HCO 3 ) solid dissolve 33. [OH ] = 10 3 poh = log [10 3 ] = 3 ph + poh = 14 ph + 3 = 14 ph = In thermite process the reducing agent is always l. 35. ar BC BC ar DEF EF ar (BC) =.1 ar DEF 9 cm ( ) 3 + 3p ( ) 4 ( ) + p = 5 13p = 13 p = Numbers are 9 15 and We have sin 1 + sin + sin 3 = 3 sin 1 = sin = sin 3 = 1 1 = = 3 = / cos 1 + cos + cos 3 = l = 14 = l r 1 6 FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

18 FTRE-013-IQ+PCM-X-Paper-(Set-) k 1 k Correct mean = d 4. v 1 =, v t v avg = d t 1 d d v1v t t d d v v v v y 43. x =, x I + 1 y 54 But when y is odd, x I + Number of positive integral solution = R eq i K 1 6 / i1 5 i 6 6 R eq =1 3 i 3 1 i i Self explanatory 46. Self explanatory 47. Using Snell s law at point C, we have sin sin sin 60 = 3 sin sin = sin FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

19 FTRE-013-IQ+PCM-X-Paper-(Set-) I R 7 P = Power developed in R = RI 400R 400R = (R 7) [(R 7) 8R] 400R R R 8R 8 R R R 0 I 4 6 R I 1 3 For maximum P, Denominator should be minimum be 7 R 0 R = 7 R 49. Slaked lime Ca(OH) Ca HCO Ca OH CaCO H O compound creating temporary hardness 3 3 insoluble Ca(OH) Na CO NaOH CaCO 3 3 Caustic Soda 50. Metals are malleable & ductile due to large cohesive force b/w their particles that holds the structure together. 51. N in HNO has oxidation number is = +3, hence can undergo further oxidation or reduction. 5. Na O + H SO 4 Na SO 4 + H O Oxidation number of O in Na SO 4 = Oxidation number of O in H O = s the size of the anion increases, the covalent character increases & M.PT. decreases. 1 3a = a 5a 3, = a 5a a 9 a 5a 3 a 5a 3 9a 45a + 7 = 9a 6a + 1 a = 3. 0, 3, 0, = 3 (1 1 ) (1 ) (1 3 ) (1 4 ) = = sin 1 x 1 y x y x x > 0 x 0 x = 1. FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax

20 FTRE-013-IQ+PCM-X-Paper-(Set-) N = 8p + 1 p = 6q + 5 q = 5r + 4 N = 8 (6q + 5) + 1 = 48q + 41 = 48 (5r + 4) + 41 = 40r r r r r Sum of remainders = = s = = h h = 3 15 r = 15 s 3 h 1 = h r = MN BC h1 MN 4h1 0 MN = 6. h 4 h B 6 M h 1 h 4 N 8 C FIITJEE Ltd., FIITJEE House, 9-, Kalu Sarai, Sarvapriya ihar, New Delhi , Ph , Fax