Prayas JEE (2025) Practice Test 01 PDF

Prayas JEE (2025) PRACTICE TEST - 01 DURATION ::180 DURATION Minutes 90 Minutes DATE : 26/05/2024 M.MARKS : 300 Topics Covered Physics...

Prayas JEE (2025) PRACTICE TEST - 01 DURATION ::180 DURATION Minutes 90 Minutes DATE : 26/05/2024 M.MARKS : 300 Topics Covered Physics: Mathematical Tools (Complete Chapter), Motion in a Straight Line (Complete Chapter), Motion in a Plane: Introduction Motion in a plane Projectile Motion. Chemistry: Some Basic Concepts of Chemistry (Complete Chapter), Redox Reaction (Complete Chapter). Mathematics: Basic Maths (Complete Chapter), Quadratic Equations: Introduction Common roots Theory of equation. General Instructions: 1. Immediately fill in the particulars on this page of the test booklet. 2. The test is of 3 hours duration. 3. The test booklet consists of 90 questions. The maximum marks are 300. 4. There are Three Sections in the question paper, Section I, II & III consisting of Section-I (Physics), Section-II (Chemistry), Section-III (Mathematics) and having 30 questions in each part in which first 20 questions are compulsory and are of Objective Type and Last 10 questions are integers type in which you have to attempt 5 questions only. 5. There is only one correct response for each question. 6. Each correct answer will give 4 marks while 1 Mark will be deducted for a wrong MCQ response. 7. No student is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic device, etc. inside the examination room/hall. 8. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/Hall. However, the candidates are allowed to take away this Test Booklet with them. 9. Do not fold or make any stray mark on the Answer Sheet (OMR). OMR Instructions: 1. Use blue/black dark ballpoint pens. 2. Darken the bubbles completely. Don't put a tick mark or a cross mark where it is specified that you fill the bubbles completely. Half-filled or over-filled bubbles will not be read by the software. 3. Never use pencils to mark your answers. 4. Never use whiteners to rectify filling errors as they may disrupt the scanning and evaluation process. 5. Writing on the OMR Sheet is permitted on the specified area only and even small marks other than the specified area may create problems during the evaluation. 6. Multiple markings will be treated as invalid responses. 7. Do not fold or make any stray mark on the Answer Sheet (OMR). Name of the Student (In CAPITALS) : _______________________________________________________________ Roll Number : _____________________________________________________________________________________________ OMR Bar Code Number : ________________________________________________________________________________ Candidate’s Signature : _______________________________ Invigilator’s Signature _____________________  Section-I (PHYSICS) Single Correct Type Questions 5. Which of the following graph is/are straight line 1. √ is equal to for the equation ? (A) ( ) I. Graph: versus (B) II. Graph: versus (C) III. Graph: versus √ (A) I, III (B) II, III (D) (C) I, III (D) Only II 2. For two vectors and , choose the correct option 6. A child pulls a box with a force of at an angle of above the horizontal. Then the (A) horizontal and vertical components of the force are (B) (C) (D) All of the above 3. If velocity varies with time as , then the plot between and will be given as: (A) (B) (C) (D) (A) 7. A point on application of a force ̂ ̂ ̂ is moved from ̂ ̂ ̂ to ̂ ̂ ̂. The work done is (A) –22 units (B) 22 units (C) 11 units (D) 0 units (B) 8. The cross product of the vectors ( ̂ ̂ ̂) and ( ̂ ̂ ̂ ) is (A) ̂ ̂ ̂ (B) ̂ ̂ ̂ (C) ̂ ̂ ̂ (C) (D) ̂ ̂ ̂ 9. The greatest value of the function is (A) 12 (B) 13 (C) 7 (D) 17 (D) 10. Find ∫ ( ) :- (A) (B) (C) (D) 4. If and 11. A man walks for some time 't with velocity (v) due find the angle between and east. Then he walks for the same time 't' with (A) ( ) velocity (v) due north. The average velocity of the man is: (B) ( ) (A) (B) √ (C) ( ) (C) (D) √ (D) None of these 12. The coordinates of a particle moving in -plane vary with time as. The trajectory of the particle is: (C) (A) Straight line (B) Circle (C) Parabola (D) Ellipse 13. If a car covers 2/5th of the total distance with speed and 3/5th distance with then (D) average speed is (A) √ (B) (C) (D) 17. The velocity-time graph of the particle moving 14. The water drops fall at regular intervals from a tap along a straight line is shown. The rate of 5 m above the ground. The third drop is leaving acceleration and deceleration is constant and it is the tap at the instant the first touches the ground. equal to. If the average velocity during How far above the ground is the second drop at the motion is , then the value of t is that instant? (A) 1.25 m (B) 2.50 m (C) 3.75 m (D) 4.00 m 15. A particle moves a distance x in time t according to equation ( ). The acceleration of particle is proportional to (A) ( ) (B) ( ) (A) 3 s (B) 5 s (C) ( ) (C) 10 s (D) 12 s (D) ( ) 18. A particle located at x = 0 at time t = 0, starts 16. Acceleration (a)-displacement (s) graph of a moving along the positive x-direction with a particle moving in a straight line is as shown in the figure. The initial velocity of the particle is zero, velocity 'v' that varies as √( ) Where is The Velocity (V) - displacement (s) graph of the a constant. Then the displacement of the particle particle would be varies with time as (A) (B) (C) (D) 19. A lift starts from rest. Its acceleration is plotted against time in the following graph. When it comes to rest, its height above its starting point is (A) (A) 20 m (B) (B) 64 m (C) 32 m (D) 128 m 20. A body travels in the first two seconds 25. A truck is moving at a speed of 72 km/h on a and in the next four seconds. What will be straight road. The driver can produce acceleration the velocity at the end of second from the of 2 m/s2 by applying brakes. The stopping start? distance of truck is (13x) m, if the reaction time of (A) the driver is 0.2 s. Find the value of x. (B) (C) 26. A person walks up a stationary 15 m long escalator (D) in 90 s. When standing on the same escalator, now moving, the person is carried up in 60 s. The time Integer Type Questions it would take for that person to walk up the 21. Two cars started simultaneously towards each moving escalator is (6 N) seconds. Then the value other from towns A and B which are 480 km apart. of N is It took first car travelling from A to B 8 hours to cover the distance and second car travelling 27. A man moves 10 m in a direction 37° East of from B to A 12 hours. Determine the distance (in North, then √ m in South-East direction and km) from town A where the cars meet. Assuming finally 20 m in a direction 53° South of West. If that both the cars travelled with constant speed. the magnitude of resultant displacement of man is √ m, find the value of n. 22. A ball is thrown upwards from the ground with an initial speed of u. The ball is at a height of 80 m at 28. A particle starts from origin and moves along a two times, the time interval being 6s. Find u (in path whose equation is y = 2x3/2. The distance m/s). Take g = 10 m/s2. travelled by particle when it reaches at x = 7 m is (1024/3n) m. Find the value of n. 23. and are unit vectors and angle between them 29. A stone is projected from the ground with velocity is If and are perpendicular 25 m/s. Two seconds later, it just clears a wall 5 m to each other, then find the integer value of k. high. The angle (in degree) of projection of the 24. According to Newton's second law of motion, stone is _____ (g = 10 m/s2) resultant force on a particle is in the direction of acceleration of the particle. Two force F1 and F2 30. A stone is dropped from a certain height which can are acting on a particle as shown in the figure. The reach the ground in 5 second. If the stone is acceleration of the particle is along X-axis. Find stopped after 3 second of its fall and then allowed the value of F1 (in newton). to fall again, then the time taken by the stone to reach the ground for the remaining distance is ______ (in sec). Section-II (CHEMISTRY) Single Correct Type Questions 32. A measured temperature on Fahrenheit scale is 31. The vapour density of metal chloride is. If its. What will this reading be on Celsius equivalent weight is , its atomic mass will be scale? (A) 3 (A) (B) 6 (B) (C) 9 (C) (D) 12 (D) 33. If 'NEERAJ KUMAR' is written by a graphite 40. The quantity which changes with temperature is : pencil, it weighs. How many (A) Mole fraction carbon atoms are present in it? ( ) (B) Molality (A) (C) Molarity (B) (D) Mass percentage (C) (D) 41. A gaseous hydrocarbon gives upon combustion water and of. The empirical 34. The incorrect postulates of the Dalton's atomic formula of hydrocarbon is theory are: (A) (a) Atoms of different elements differ in mass. (B) (b) Matter consists of divisible atoms. (C) (c) Compounds are formed when atoms of (D) different element combine in a fixed ratio. (d) All the atoms of given element have 42. One of the following combinations illustrate law different properties including mass. of reciprocal proportions: (e) Chemical reactions involve reorganisation (A) of atoms. (B) NaCl, NaBr, Choose the correct answer from the options given (C) below: (D) (A) (b), (d), (e) only (B) (b), (d) only 43. In the reaction (C) (a), (b), (d) only , chlorine is (D) (c), (d), (e) only (A) oxidized. (B) reduced. 35. What will be the molality of the solution (C) oxidized as well as reduced. containing of gas in of (D) neither oxidized nor reduced. water? (A) 0.1 m (B) 1 M 44. In the process, , the number of (C) 0.5 m (D) 1 m ions and the side in which they should be added in balancing are 36. The reaction, ( ) ( ) (A) , right ( ) is an example of (B) , left (A) oxidation reaction (C) , left (B) reduction reaction (D) , right (C) disproportionation reaction (D) decomposition reaction 45. In basic medium, disproportionates into and. If there is loss and gain of one 37. If the density of a solution is , the mole of electron per mole of , then the value mass of solution in significant figures of x is is_________. (A) 3 (A) (B) (B) 1 (C) (D) (C) 2 (D) 4 38. The oxidation number of sulphur in respectively, are 46. Consider the following reaction, (A) and (B) and (C) and (D) and The values of and in the reaction are, respectively 39. What is the mass percent of carbon in carbon (A) 5, 2 and 16 dioxide? (B) 2, 5 and 8 (A) 0.034% (B) 27.27% (C) 2, 5 and 16 (C) 3.4% (D) 28.7% (D) 5, 2 and 8 47. Following reaction describes the rusting of iron 53. From the given list, the number of compounds Which one of the with +4 oxidation state of Sulphur is following statement is incorrect? ___________. (A) This is an example of a redox reaction (B) Metallic iron is reduced to (C) is an oxidising agent 54. The answer is a non-negative integer. The (D) Metallic iron is a reducing agent number of electrons involved in the conversion of to is______________ 48. A metal oxide having 20% oxygen by mass, then the equivalent weight of oxide is 55. The lowest oxidation number of an atom in a (A) 30 (B) 44 compound is -2. The number of electrons in (C) 40 (D) 56 its valence shell is _____ 49. The oxidation number of in is 56. How many significant figure will be present in (A) (B) the final result of following expression? (C) (D) 50. Assign , D from given type of reactions. 57. The molarity of in a sample which has ( ) density and mass percentage of (A) disproportionation reaction. is..................M. (B) comproportionation reaction. (C) either intermolecular redox reaction or 58. The number of significant figure in 7.30400 × displacement reaction. 105 is _____? (D) either thermal combination redox reaction or thermal decomposition redox reaction. 59. Two elements A and B forms 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 Integer Type Questions weigh equally, then the atomic weight of A 51. The amount of potassium dichromate (in g) is______ times of atomic weight of B. required to oxidise 750 cm3 of 0.6 M Mohr's salt solution is: (Given molar mass: potassium 60. The mass of sodium acetate (CH3COONa) dichromate = 294 g/mol, Mohr's salt = 392 required to prepare 250 mL of 0.35 M aqueous g/mol) solution is ____g. (Molar mass of CH3COONa is 82.02 g mol–1) 52. How many moles of are required to react with one mole of solid ? Section-III (MATHEMATICS) Single Correct Type Questions (√ √ ) √ 63. If ( ), then x : y, 61. If the roots of the equation ax2 + bx + c = 0 are in the ratio m : n, then is (A) mnb2 = ac(m + n)2 (A) 5 : 2 (B) 2 : 5 (B) b2(m + n) = mn (C) 25 : 4 (D) 4 : 25 (C) m + n = b2 mn (D) mnc2 = ab(m + n)2 64. The number of integral values of x satisfying √ , is equal to 62. If the equation and (A) 2 (B) 1 ( ) have a common root, then p (C) 4 (D) 3 + 4q + 4r equals (A) 0 65. Value of x satisfying the equation (B) 1 √ | | is (C) 2 (A) 7 (B) 6 (D) –2 (C) 5 (D) 4 66. The value of x satisfying |x – 3| = –1, is (C) (A) 2 (B) 4 (D) (C) {2, 4} (D) No solution 75. Let and be the roots of equation 67. If a, b  R and then the roots of the. If for then the value quadratic equation ( ) ( ) of is equal to ( ) are (A) –6 (B) 3 (A) Real and equal (C) –3 (D) 6 (B) Real and unequal (C) Complex 76. If and have a (D) Rational and equal common root, where a, b, c N (set of natural numbers), then least value of a + b + c is 68. The value of x satisfying | x2  4 x  3 |  (A) 13 (B) 11 | x2  5x  4 |, is (C) 7 (D) 9 7  (A) {1, 5} (B)  ,1 77. The value of 'k' for which the equation 2  and will have a 3  common root, is/are (C)  ,1 (D) {3, 5} 2  (A) (B) (C) (D) k = 0 69. Let a  log 2 3, b  log 6 4 and c  log3 36 then the value of abc is 78. The roots of the equation ( ) ( ) (A) 1 (B) 2 ( ) are (C) (D) 4 rp pq (A) ,1 (B) ,1 qr qr 70. The sum of integers in the interval [–2, 5] pr qr (C) ,2 (D) ,2 ( x  2) ( x  3) ( x  5)3 qr pq satisfying the inequality 0 x( x 2  4) is 79. If are the roots of the (A) 8 (B) 9 equation , then (C) 11 (D) 12 (A) (B) 71. Equation ( ) ( ) has (C) ( ) (A) One solution (D) ( ) (B) No solution (C) Two solution | | 80. If | | then (D) Infinite solution (A) x  (, 2)  (3, ) (B) x  (3, 3) 72. The number of digits in 87516 is, (given log 2 = (C) x  (,  3)  (3, ) 0.3010, log 7 = 0.8451) (A) 49 (B) 47 (D) x  (C) 48 (D) 50 Integer Type Questions 81. If and are the roots of the equation 73. The value of is and satisfy the relation (A) 1 (B) 5 then the value of a is equal to (C) 4 (D) 8 82. If and are roots of equation ( ) 74. If are the roots of a quadratic equation. , then the eqution whose roots If 1 ,  2 are two values of for which are ( ) and ( ) is- then is equal to (A) (B) 83. If the equation ( ) ( 2 1 87. If the solution set of 24 x  5  3 is given by ) ( ) satisfies by more than two values of 'x' then a = [a, b]  [c, d ] then a + b + c + d is 84. The number of natural number n for which the 88. The smallest positive integer satisfying the equation (x – 8) x = n(n – 10) has no real solution, equation | | | | is is equal to 89. If the sum of all possible values of x which satisfies 85. If (√ √ √ √ ), |3x – 2| + x = 11, is then |4 | is equal to then x is equal to 90. If (where x, y, z,  R) , then value of x + y + z is 86. If the equations ( ) and ( ) have both the roots common, then 2r – p is equal to PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if