Lakshya JEE 2025 Short Practice Test 03 PDF

Lakshya JEE (2025) SHORT PRACTICE TEST – 03 DURATION : 60 DURATION 90 Minutes Minutes DATE : 30/06/2024 M. MARK...

Lakshya JEE (2025) SHORT PRACTICE TEST – 03 DURATION : 60 DURATION 90 Minutes Minutes DATE : 30/06/2024 M. MARKS : 96 Topic Covered Physics : Motion in a Plane-Class 11th (Complete Chapter), Laws of Motion-Class 11th (Complete Chapter), Current Electricity (Full Chapter), Moving Charges and Magnetism: Oersted's Experiment and Biot- Savart's Law. Chemistry : Classification of Elements and Periodicity in Properties-Class 11th (Complete Chapter), Chemical Bonding and Molecular Structure-Class 11th (Complete Chapter), Optical isomerism and hydrocarbon (except elimination). Mathematics : Complex Number -I Class-11th (Complete Chapter), Sequence and Series- Class-11th (Complete Chapter), Relation and function (Complete Chapter). General Instructions: 1. Immediately fill in the particulars on this page of the test booklet. 2. The test is of 1-hour duration. 3. The test booklet consists of 24 questions. The maximum marks are 96. 4. There are three subjects in the question paper, Subject I, II, and III consisting of Section-I (Physics), Section-II (Chemistry), Section-III (Mathematics) and having 8 questions in each part. 5. Each correct answer will give 4 marks while 1 Marks will be deducted for a wrong response. 6. 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. 7. 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. 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) 1. If 1 A current flows in the circuit as shown then the value of R is 1 1 (1) A and 3V (2) A and 4V 3 6 1 1 (1) 2 (2) 3 (3) A and 9V (4) A and 12V 9 2 (3) 9 (4) 10 5. Find the potential difference between the points 2. In the metre bridge, the balancing length A and B and between the points B and C of AB  l  20 cm. The unknown resistance X is figure in steady state equal to (1) 75V and 25V (1) 0.25 (2) 0.8 (2) 35V and 65V (3) 0.2 (4) 0.16 (3) 25V and 75V (4) 65V and 35V 3. 10 cells each of emf 2V and internal resistance 0.5 are connected as shown. The potential 6. A particle is projected from ground with velocity difference between point A and B is v at an angle θ to the horizontal. Average velocity of the particle between the point of projection and maximum height of projectile, is v (1) 1  2cos 2θ 2 v (2) 1  cos 2θ 2 v (3) 1  3cos 2θ 2 (1) 2 E (4) vcosθ (2) E (3) 3 E 7. A block of mass 1 kg lies on a horizontal surface (4) zero in a truck. The coefficient of static friction 4. Two batteries of e.m. f. 4V and 8V with internal between the block and the surface is 0.6. If the resistances 1 and 2 are connected in a circuit acceleration of the truck is 5 m/s2, the frictional with a resistance of 9 as shown in figure. The force acting on the block is: current and potential difference between the (1) 5 N points P and Q are (2) 6 N (3) 10 N (4) 15 N 8. The circuit shown has been connected for a long time. The voltage across the capacitor is (1) 1.2V (2) 2.0 V (3) 2.4 V (4) 4.0 V SECTION-II (CHEMISTRY) 9. The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of Na  will be? (3) (1) –2.25 eV (2) –5.1 eV (3) –10.2 eV (4) +2.55 eV (4) 13. What will be the final product (P) of the 10. In Wurtz reaction, can be following reaction? prepared from which of the following compound? (1) (2) (1) (2) (3) (4) (3) (4) None of these 11. The bond dissociation energy of B–F in BF3 is 646 kJ mol1 whereas that of C–F in CF4 is 515 14. What will be the final product (B) of the following reaction? kJ mol1. The correct reason for higher B–F bond dissociation energy as compared to that of C–F is: (1) But-2-ene (2) Propane (1) Significant p  p interaction between B (3) Butane (4) Propyne and F in BF3 whereas there is no possibility of such interaction between C and F in 15. Which of the following alkane can not be formed CF4. from Kolbe's electrolytic method? (2) Lower degree of p  p interaction (1) Methane (2) Propane between B and F in BF3 than that between (3) Pentane (4) All of these C and F in CF4. (3) Smaller size of B-atom as compared to that 16. Which of the following compound is optically of C-atom. active? (4) Weaker bond between B and F in BF3 as compared to that between C and F in CF4. (1) (2) 12. CH3  CH  CH2  HBr  Y ; Major product [Y] is: (3) (4) (1) (2)  SECTION-III (MATHEMATICS) 17. If R is a relation on the set of natural number 21. The function such that aRb  a  3  b for some integer k , f : R [1, ), f  x   x|x|  sinx is k then R is (1) One-one and onto (1) Symmetric, transitive but not reflexive (2) Reflexive, symmetric but not transitive (2) One-one and into (3) Reflexive, transitive but not symmetric (3) Many-one and onto (4) An equivalence relation (4) Many-one and into 18. The relation R is defined on A  1, 2,3 22. Let f  x   asinx  b  x  1/3  6, by aRb if a 2  b2 |  5. Which of the following  where a and b  R. If f log30  log15 30   7 ,  is false? (1) R = {(1,1), (2,2), (3,3), (2,1), (1,2), (2,3),  then the value of f log30  log3015 is  (3,2)} (1) 5 (2) 7 1 (2) R R (3) 5 (4) 7 (3) Domain of R  1, 2,3 (4) Range of R  5 23. The number of integers lying in the domain of  5  2x  the function f  x   log 0.5   is 19. Number of solutions of the  x  equation 3x   x  4  x  , is equal to (where [ ] (1) 3 (2) 2 & { } represent greatest integer and fractional (3) 1 (4) 0 part respectively) (1) 0 (2) 2 24. Number of integers in the domain of the (3) 3 (4) 4 function, f  x   3  2 x  21 x , is 20. The fundamental period of the function (1) 1 (2) 4 x x  x x  x x  f  x      5     5     5 (3) 2 (4) 3 3 3  4 4  5 5  is (where [.] is G.I.F) (1) 15 (2) 60 (3) 120 (4) 30 PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if