FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sa rai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) FIITJEE T ALENT R EWARD E XAM - 2023 for Students presently in Class X ( Paper 1) Time: 3 Hours SAMPLE PAPER Maximum Marks: 24 6 Instructions: Note: Please check this Question Paper contains all 115 questions in serial o rder. If not so, exchange for the correct Question Paper. OMR Ans wer Sheet No. : ____________________________________________________________ Registration Number : ____________________________________________________________ Name of the Candid ate : ____________________________________________________________ Test Centre : ____________________________________________________________ Caution: Class, Paper, Code as given above MUST be correctly marked on the answer OMR sheet before attempting the paper. Wrong Class, Paper or Code will give wrong results. 1. You ar e advised to devote 45 Minutes on Section - I, 4 0 Minutes on Section - II , 4 0 Minutes on Section - III and 55 Minutes on Section - IV 2. This Question paper consists of 4 sections. Marking scheme is given in table below: Marking S cheme for each question Section Subject Question no. C orrect answer W rong answer 1 to 19 +3 0 SECTION – I APTITUDE TEST 20 to 25 + 4 0 PHYSICS (PART - A) 26 to 34 + 2 0 CHEMISTRY (PART - B) 35 to 43 +2 0 SECTION – II MATHEMATICS (PART - C) 44 to 52 +2 0 PHYSICS (PART - A) 53 to 65 + 1 0 CHEMISTRY (PART - B) 66 to 78 + 1 0 SECT ION – III MATHEMATICS (PART - C) 79 to 91 + 1 0 PHYSICS (PART - A) 92 to 99 + 3 – 1 CHEMISTRY (PART - B) 100 to 107 + 3 – 1 SECTION – IV MATHEMATICS (PART - C) 1 08 to 115 + 3 – 1 3 Answers have to be marked on the OMR sheet. The Question Paper contains blank spaces for your rough work. No additional sheets will be provided for rough work. 4 Blank papers, clip boards, log tables, slide rule, calculator, cellu lar phones, pagers and electronic devices, in any form, are not allowed. 5 Before attempting paper write your OMR Answer Sheet No. , Registration N umber , Name and Test Centre in the space provided below. FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 1 R R e e c c o o m m m m e e n n d d e e d d T T i i m m e e : : 4 4 5 5 M M i i n n u u t t e e s s f f o o r r S S e e c c t t i i o o n n – – I I S S e e c c t t i i o o n n – – I I APTITUDE TEST This section contains 2 5 Multi ple Choice Questions number 1 to 2 5. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 1 In the time a fox do 5 jumps, a dog do 3 jumps. If the distance covered in a jump by a dog is 3 times that of fox. Find the rati o of the speed of dog to that of fox. (A) 5 : 8 (B) 3 : 5 (C) 5 : 13 (D) 13 : 15 2 Replace the question mark (?) in the following number series with suitable option. 3, 3, 4.5, 9, 22.5, ? (A) 27.3 (B) 24 (C) 55 (D) 67.5 3 _s r _tr_srs_r_srst_ (A) ttssrr (B) tsrtsr (C) strtrs (D) tstttr 4 It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010? (A) Monday (B) Friday (C) Sunday (D) Tuesday 5 The calendar for the year 2007 will be the same for the year (A) 2014 (B) 201 6 (C) 2017 (D) 2018 6 A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day? (A) 48 min. past 12. (B) 46 min. past 12. (C) 45 min. past 12. (D) 47 min. past 12. 7 Count the number of triangles and squares in the given figure. (A) 21 triangles, 7 squares (B) 18 triangles, 8 squares (C) 22 triangles, 8 squares (D) 22 triangles, 7 squares Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 2 8 In a certain code language, 519 me ans SWEET AND HOT 753 means MANGO IS SWEET 147 means MILK IS HOT. Which digit stands for MILK? ( A ) 7 ( B ) 1 ( C ) 4 ( D ) 9 Directions : (Q 9 to Q 1 0 ) From a group of 6 men and 4 women a committee of 4 persons is to be formed. 9 In how many different wa ys can it be done so that the committee has atleast one woman? ( A ) 210 ( B ) 225 ( C ) 195 ( D ) 185 10 In How many different ways can it be done so that the committee has at least 2 men? ( A ) 210 ( B ) 225 ( C ) 195 ( D ) 185 11 Which response represents L anguage, English and Hindi? (A) (B) (C) (D) 12 In each of the following questions select the one figure which is different from the other three figures. (A) A (B) B (C) C (D) D 13 When the clock shows 20 minutes past 11 O’clock, what is the angle between the two hands of the clock? (A) 110 o (B) 120 o (C) 130 o (D) 140 o 14 A sum invested at 5% simple interest per annum grows to R s. 504 in 4 years. The same amount at 10% simple interest per annum in 1 2 2 years will grow to : (A) Rs. 420 (B) Rs. 452 (C) Rs. 525 (D) Rs. 550 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 3 15 Find out the missing term of the series. 2 4 11 16 , , ?, , 3 7 21 31 (A) 5 9 (B) 6 11 (C) 7 13 (D) 9 17 16 What is the unit digit in 65 59 71 3 6 7 ? (A) 6 (B) 4 (C) 2 (D) 1 17. Prateek travell ed from a point A to B, a distance of 12 km. He turned right and travelled 8 km and reached point C. From that point took right turn and travelled 6 km, and reached point D. How far is he away from the starting point? (A) 10 km (B) 12 km (C) 13 km (D) 14 km 18 If male and female students of section B in DPS and DAV are in ratio 3 : 2 and 4 : 3 respectively, then male students of section B are how much percent more than female students of section B considering both the schools (approx). (A) 50% ( B) 25% (C) 36% (D) 40% 19 A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is (A) 2% (B) 4.5% (C) 13.5% (D) 15% Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 4 (Puzzle for Q. N o 20 to 22) Direction s (Q. 20 - 22 ): J, K, L, M, N, O and P are seven kids playing in the garden. They are wearing clothes of colours - black, blue white, green, pink, yellow and brown. Out of the seven, three are girls. No girl are wearing either black, yellow or brown. O is wearing pink, while M is wearing brown. J is wearing blue. K is not wearing green. N is wearing yellow, while his best friend P is a boy. O and K are girls bu t J is not a girl. 20 What colour is K wearing? (A) Green (B) Pink (C) Brown (D) White 21 Which is not a correct combination? (A) K - White - Girl (B) N - Yellow - Boy (C) P - Black - Girl (D) J - Blue - Boy 22 Which group is denoting only girls? (A) KLN (B) KNO (C) KLO (D) KLM ( Comprehension for Q. No. 23 to 25 ) There are six children playing football, namely A, B, C, D, E and F. A and E are brothers. F is the sister of E. C is the only son of A’s uncle. B and D are the daughters of the brother of C’s father. 23 How is C related to F? (A) Cousin (B) Brother (C) Son (D) Uncle 24 How many male players are there? (A) One (B) Three (C) Four (D) Five 2 5. How many female players are there? (A) One (B) Two ( C) Three (D) Four Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 5 R R e e c c o o m m m m e e n n d d e e d d T T i i m m e e : : 4 4 0 0 M M i i n n u u t t e e s s f f o o r r S S e e c c t t i i o o n n – – I I I I S S e e c c t t i i o o n n – – I I I I PHYSICS – (PART – A) This part contains 9 Multiple Choice Questions number 26 to 34 Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 26. In a given time of 10 s, 40 electrons pass from right to left. In the same interval of time 40 protons also pass from left to right. The average value of current is (A) 1.28 10 – 18 A (B) 2.28 10 – 18 A (C) 3.38 10 – 18 A (D) 4.48 10 – 18 A 27. A wire has a resistance R. What will be its resistance if it is stretched to double its length? (A) R (B) 2 R (C) 3 R (D) 4 R 28. An object is placed at a distance of 30 cm from a concave mirror of focal length 20 cm. Find image dist ance (A) – 60 cm (B) + 60 cm (C) – 30 cm (D) + 30 cm 29. Consider the figure shown below and find out the angle of refraction: (A) 0° (B) 30° (C) 45° (D) 60° 30. To get three images of single object, one should have two plane mirrors at an angle of (A) 45° (B) 60° ( C ) 90° (D) 135° Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 6 31. A square wire of side 3.0 cm is placed 25 cm in front of a concave mirror of focal length 10 cm with its centre on the axis of the mirror and its plane normal to the axis. The area en closed by the image of the wire is (A) 7.5 cm² (B) 6 cm² (C) 4 cm² (D) 3 cm² 32. The critical angle for a medium is 60°. What is the refractive index of a medium? (A) 1.6 (B) 1.2 (C) 1.41 (D) 1.17 33. Two thin lenses are in contact an d the focal length of the combination is 80 cm If the focal length of one lens is 20 cm, then power of the other lens, will be (A) - 1 D (B) 4 D ( C ) 1.66 D (D) - 3.75 D 34. The power of the lens whose focal length is 1 m (A) one dioptre (B) t wo dioptre (C) three dioptre (D) zero dioptre Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 7 CHEMISTRY – (PART – B) This part contains 9 Multiple Choice Questions number 35 to 43. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 35 Wha t happens when dilute hydrochloric acid is added to iron fillings? Find the correct answer. (A) Hydrogen gas and Iron chloride are formed (B) Chlorine gas and iron chloride are formed. (C) No reaction takes place. (D) Iron salts and water are produced. 36 Which of the following is a decomposition reaction? (A) Heat 2 2HgO 2Hg O (B) heat 3 2 CaCO CaO CO (C) Electrolysis 2 2 2 2H O H O (D) All of these 37 When the gases sulphur dioxide and hydrogen sulphide mix in the presence of water, the reaction is 2 2 2 SO 2H S 2H O 3S. Here hydrogen sulphide is acting as (A) an oxidising agent (B) a reducing agent (C) a dehydrating agent (D) a catalyst 38 Which of the following are Neutral Oxides (A) 2 2 2 N O,CO ,Na O (B) 2 N O,NO,CO (C) 2 2 N O,NO,NO (D) 2 CO,CO ,NO 39 The metal that reacts with cold water is - (A) Mercury (B) Sodium (C) Zinc ( D ) Tungsten 40 The correct order of increasing chemical reactivity of following meta ls is - (A) Zn Fe Mg K (B) Fe Mg Zn K (C) Fe Mg K Zn (D) Fe Zn Mg K 41 When magnesium oxide (MgO) reacts with water to form magnesium hydroxide 2 [Mg(OH) ], a base it turns ___ ______ litmus to _________. (A) Blue, Red (B) Blue, Colourless (C) Red, Blue (D) Colourless, Blue 42 Acid contained in the sting of an ant is ___________. (A) Acetic acid (B) Formic acid (C) lactic acid (D) Ascorbic acid 43 The element which has l east tendency to lose electron is (A) H (B) Li (C) He (D) N a Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 8 MATHEMATICS – (PART – C) This part contains 9 Multiple Choice Questions number 44 to 52. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 44 The centroid of the triangle whose vertices are (3, – 7), ( – 8, 6) and (5, 10) is : (A) 1 5 , 3 3 (B) (0, 3) (C) ( – 1, 5) (D) (1, 5) 45 The point which divides A(0, 1) and B(3, - 1) externally in the ratio 3 : 1 is (A) 9 , 2 2 (B) 5 5, 2 (C) 11 , 3 2 (D) 7 6, 2 46 If tanx – tan 2 x = 1, then the value of tan 4 x – 2tan 3 x – tan 2 x + 2tanx + 1 is (A) 1 (B) 2 (C) 3 (D) 4 47 If ‘ ’ is an acute a ngle such that 1 + cot – cosec = 3 1 , then the value of 1 + tan + sec is (A) 3 1 (B) 3 1 (C) 2 (D) 1 2 48 In ABC, AD BC at D. BE AC at E. AD and BE meet at F. I f BF = AC, find ABC (A) 40º (B) 45º (C) 50º (D) 60º 49 The sum of the roots of the equation, 1 1 1 x a x b c is zero. What is the product of the roots of the equation? (A) a b 2 (B) a b 2 (C) 2 2 a b 2 (D) 2 2 a b 2 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 9 50 If u, v, w are real numbers such that 3 3 3 u 8v 27 w 18uvw, which one of the following is correct? (A) u v w 0 (B) u v w (C) u 2v 3w (D) u 2v 3w 51 The line segment joining points 3, 4 , and 1 , 2 is divided by y - axis in the ratio (A) 1 : 3 (B) 2 : 3 (C) 3 : 1 (D) 3 : 2 52 The value of the expression 3 cos ec20 – sec 20 is equal to : (A) 2 (B) 2 sin 20 sin 40 (C) 4 (D) 4 sin 20 sin 40 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 10 R R e e c c o o m m m m e e n n d d e e d d T T i i m m e e : : 4 4 0 0 M M i i n n u u t t e e s s f f o o r r S S e e c c t t i i o o n n – – I I I I I I S S e e c c t t i i o o n n – – I I I I I I PHYSICS – (PART – A) This part contains 1 3 Multiple Choice Questions number 53 to 6 5 Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 53. A constant current of 4 A passes through a wire for 8 s. Find total charge flowing through that wire in the given time interval. (A) 8 C (B) 16 C (C) 32 C (D) 64 C 54. An object is placed at a distance of 40 cm from a convex mirror of focal length 40 cm. Find image position (A) – 20 cm (B) + 20 cm (C) – 40 cm (D ) + 40 cm 55. An object is 30.0 cm from a spherical mirror, along the central axis. The absolute value of lateral magnification is 1 2 The image produced is inverted. Focal length of the mirror is (A) – 10 cm (B) + 10 cm (C) – 20 cm (D) + 20 cm 56. Critical angle of light passing from glass to air is least for (A) red (B) green (C) yellow (D) violet 57. When light enters from air to water, then its (A) frequency increases and speed decreases (B) frequency is same, but the wa velength is smaller in water than in air (C) frequency is same but the wavelength in water is greater than in air (D) frequency decreases and wavelength is smaller in water than in air 58. The focal length of a simple convex lens used a magnifier is 10 cm, at what distances, the object should be placed from the lens such that the image will be formed at least distance of distinct vision (D = 25 cm) (A) 25/7 (B) 50/7 (C) 50/3 (D) - 50/7 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 11 59. If the angle between the incide nt ray and reflected ray is 40°, then angle of reflection is (A) 80° (B) 60° (C) 20° (D) 30° 60. The centre of curvature of a mirror in front of it (A) convex (B) concave (C) convex or concave (D) none of these 61. In hypermetropia im age is formed (A) on the retina (B) in front of the retina (C) behind t he retina (D) none of these 62. T he light which deviate most while passing through a prism. (A) red (B) violet (C ) indigo (D ) yellow 63. A concave mirror forms a rea l and enlarged image of an object if the object is placed at between (A) 2F (B ) F (C ) F and C (D ) F and P 64. The splitting of light into its component colours is called: (A) refraction (B) spectrum (C) dispersion (D) diffraction 65. Th e incident ray passing through the focus (F) of a mirror _______ after reflection. (A) Passes through C (B) Passes through F (C) Becomes parallel to the principal axis (D) Passes through the pole Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 12 CHEMISTRY – (PART – B) This part contains 1 3 Multiple Choice Questions number 66 to 78. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 66 In the following equation 2 4 4 2 Zn H SO ZnSO H a b c d a, b, c, d can have the values (A) 1, 2, 2, 1 (B) 1 , 1 , 1 , 1 (C) 1, 1, 1, 2 (D) 2, 1, 1, 2 67 Which of the following is liquid at ordinary temperature? (A) Germanium (B) Gallium (C) Gold (D) Galena 68 Sodium is obtained by the electrolysis of (A) an aqueous solution of sodium chloride (B) an aqu eous solution of sodium hydroxide (C) fused sodium chloride (D) aq. sodium sulphate 69 Which of the following reaction is based on activity series of metal? ( A ) Decomposition reaction (B) Displacement reaction (C) Double displacement reaction (D) Syn thesis reaction 70 Which of the following metals forms amphoteric oxide when it reacts with oxygen? (A) sodium (B) magnesium (C) aluminium (D) potassium 71 Plaster of Paris hardens by: (A) giving of CO 2 (B) changing into CaCO 3 (C) combining with water (D) giving out water 72 ‘Alum’ is an example of - (A) single salt (B) double salt (C) acids (D) none of these 73 Aluminium does not oxidise readily in air because (A) it is high in the electrochemical series (B) it is low in the electrochemica l series (C) the metal does not combine with oxygen (D) the metal is covered with a layer of oxide which does not rub off Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 13 74 Which of the following reaction is not a redox reaction (A) 2 2 Cu I CuI (B) Fe S FeS (C) 2 2 2 2 MnO 4HCl MnCl 2H O Cl (D) 3 2 CaCO CaO CO 75 White silver chloride in sunlight turns to - (A) grey (B) yellow (C) remain white (D) red 76. Which of the following hydroxides is most basic ? (A) 2 Be(OH) (B) 2 Ba(OH) (C) 2 Ca(OH) (D) 2 Mg(OH) 77 Which of the following metals evolve hydrogen gas when treated with sodium hydroxide solution? (A) Aluminium (B) Zinc (C) Both (A) & (B) (D) N one of these 78 Which of the following non - metal is lustrous? (A) Sulphur (B) Oxygen (C) Nitrogen (D) Iodine Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 14 MATHEMATICS – (PART – C) This part contains 1 3 Multiple Choice Questions number 79 to 91. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 79 In ABC, the points B and C are ( - 3, 1) and (0, - 2) respectively. If the centroid of this triangle is the origin, then the coordinates of A are (A) 7 1 , 2 2 (B) 4,0 (C) 1 , 2 (D) 3, 1 80 If cot15 m then cot165 cot 345 tan15 cot105 is (A) 2 m (B) 2 m (C) m (D) m 81 If maximum value of 5cos + 12sin is p then 65 p is equal to (A) 5 (B) 4 (C) 6 (D) 3 82 A line passes through the points (k 1, k) and (k,k 1) . The y - intercept of the l ine is (A) k + 1 (B) k (C) k – 1 (D) None of these 8 3 In the given figure AE is the bisector of the exterior CAD meeting BC produced in E. If AB = 10 cm, AC = 6 cm and BC = 12 cm. Find CE. (A) 12 cm (B) 16 cm (C) 20 cm (D) 18 cm A B E C D 1 0 c m 12 cm x cm 84 If two roots of x 3 ax 2 + bx c = 0 are equal in magnitude but opposite in signs, then (A) a + bc = 0 (B) a 2 = bc (C) ab = c (D) a b + c = 0 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 15 85 If , , r are roots of equation 3 x 3x 1 0, and n n n n T r . Find value of 11 8 9 T T ? T (A) 2 (B) 3 (C) 4 (D) 5 86 Find the sum of all the divisors of the number 1800. (A) 157 (B) 6045 (C) 1042 (D) 59 87 If N = 901 902 903. If N is divided by 25 the remainder is (A) 0 (B) 2 (C) 6 (D) 8 88 If the sum of the first 2n terms of the A.P. 2, 4, 6, 8, ...... is equal to the sum of the first n terms of the A.P. 57, 59, 61, ......., then n is (A) 10 (B) 12 (C) 18 (D) 13 89 If , are the roots of 2 x x 2 0 , then value of 1 1 1 1 is (A) 1 2 (B) 1 2 (C) 2 (D) – 2 90 2 ax bx c 0, a 0, b 0, c 0 has (A) two equal real roots (B) one real root (C) two distinct rea l roots (D) no real roots 91 Find a point equidistant from the points 8, 6 , 8, 2 and 2, 2 (A) 5, 2 (B) 2, 5 (C) 5, 2 (D) 2, 5 Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 16 R R e e c c o o m m m m e e n n d d e e d d T T i i m m e e : : 5 5 5 5 M M i i n n u u t t e e s s f f o o r r S S e e c c t t i i o o n n – – I I V V S S e e c c t t i i o o n n – – I I V V PHYSICS – (PART – A) This part contains 8 Multiple Choice Questions number 92 to 9 9. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is c orrect. 92. The total current drawn from the battery is 8 6 12 24V (A) 3 A (B) 45 A (C) 6 A (D) 9 A 93. Find out the value of current through 2 resistance for the given circuit (A) 5 A (B) 2 A (C) zero (D) 4 A 94 An object, a convex lens of focal length 20 cm and a plane mirror are arranged as shown in the figure. How far behind the mirror is the second image formed? (A) 30 cm (B) 20 cm (C) 40 cm (D) 50 cm Space for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 17 95. A spherical mirror forms an erect imag e three times the size of the object. If the distance between the object and the image is 80 cm, the nature and the focal length of the mirror are (A) concave, 30 cm (B) convex, 30 cm (C) concave, 15 cm (D) convex, 15 cm 96. We can see objects because of ____ (A) Reflection (B) Refraction (C) Transmission (D) Diffraction ( Comprehension for Q. No. 97 to 99 ) Consider the situation in the figure. The bottom of the pot is reflecting plane mirror, s is a small fish and T is a human eye. Refracti ve index of water is 97. At what distance from itself will the fish see the image of the eye by direct observation? (A) 1 H 2 (B) 1 H 2 (C) H 1 2 2 (D) 1 H 2 98. At what distance from itself will the fish see or observe the image of eye by observing through mirror? (A) 3 H 2 (B) 1 H 2 (C) 3 H 2 (D) 3 2H 2 99. At what distance from itself will the eye see the image of the fish upon direct observation? (A) 1 H 1 2 (B) 1 2H 1 2 (C) 1 2H 1 2 (D) 1 H 2 S pace for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 18 CHEMISTRY – (PART – B) This part contains 8 Multiple Choice Questions number 100 to 10 7. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 100 Which of the following reactions represents thermit e welding process involved in the repairing of broken railway tracks? (A) 2 3 2 3 Al Fe O Al O Fe (B) 2 3 2 3 Al O Cr Cr O Al (C) 2 3 2 3 Al O Fe Fe O Al (D) 2 3 C Fe O CO Fe 101 Which among the following metal form passive layer wit h steam? (A) Cu (B) Al (C) Zn (D) Fe 102 Most acidic oxide is (A) 2 3 Al O (B) MgO (C) 2 Na O (D) CaO 103 Chemical used for making photographic film is (A) Sodium iodide (B) Silver bromide (C) Potassium iodide (D) Copper chloride 104 The products of Solvay process is/are (A) NaHCO 3 (B) 2 3 K CO (C) CaO (D) All of these ( Comprehension for Q. No. 105 to 107 ) S alt is the product of reaction of an acid and a base. Salt is classified into different types: acidic, basic, normal and mixed salts. Some mild bases act as antacids. To get rid of stomach pain these antacids neutralise the excess acid. 105 Which of t he following methods is not used for preparing a salt? (A) reaction between an acid and a base (B) action of acid on metals (C) action of acid on metal oxides (D) dissolution of acids in water. 106 Which of the following base is used as antacid to neu tralize stomach acidity? (A) 2 Mg(OH) (B) KOH (C) 2 Ca(OH) (D) NaOH 107 Antacid is used in indigestion (A) Baking soda (B) HCOOH (C) HCl (D) 3 CH COOH S pace for Rough Work FTR E - 2023 - SAMPLE PAPER - C - X - (Paper - 1) - AT+PC M FIITJEE Ltd., FIITJEE House, 29 - A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016 ( website: www.fiitjee.com ) Page No. 19 MATHEMATICS – (PART – C) This part contains 8 Multiple Choice Questions number 108 to 11 5. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 108 ABC is a right triangle in which o C 90 and CD AB If BC a, AC b, AB c and CD p , then (A) 2 2 2 p a b (B) 2 2 2 1 1 1 p a b (C) 2 2 2 1 1 1 c a b (D) None 109 Val ue of 1 tan sec . 1 cot cosec is (A) 1 (B) – 1 (C) 2 (D) – 4 110 If x a x b x c 3 0, a 0, b 0, c 0 b c c a a b , then the value of x is (A) 2 2 2 a b c (B) a b c (C) a b c (D) 2 2 2 a b c 111 Which is the greatest among 6 100 , 3 12 and 3 ? (A) 3 (B) 6 100 (C) 3 12 (D) Can not be determined 112 So lve for x: 2 2 1 1 2 x 9 x 14 0 x x (A) 1 , 1, 2 2 (B) 1 , 1, 2 2 (C) 1 , 1, 4 2 (D) 1 1 , 1, 2 4 Space for Rough Work