Prayas JEE 2025 Short Practice Test 01 PDF

Prayas JEE (2025) SHORT PRACTICE TEST – 01 DURATION : 60 DURATION 90 Minutes Minutes DATE : 12/05/2024 M. MARKS : 96...

Prayas JEE (2025) SHORT PRACTICE TEST – 01 DURATION : 60 DURATION 90 Minutes Minutes DATE : 12/05/2024 M. MARKS : 96 Topic Covered Physics : Basic Maths, Vector Chemistry : Some Basic Concepts of Chemistry (Complete Chapter). Mathematics : Basic Maths : Number system, Wavy Curve Method. 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. Two vectors and are such that and. Which of the following statement, is correct? (2) (1) is parallel to (2) is anti-parallel to (3) is perpendicular to (4) and are equal in magnitude (3) 2. A body acted upon by 3 given forces is in equilibrium as shown in figure. If | | , (4) None of these | | and direction of force is along 5. A set of vectors taken in a given order gives a axis then which of the following is incorrect? closed polygon. Then the resultant of these vectors is a (1) scalar quantity (2) pseudo vector (3) unit vector (4) null vector 6. Let = ̂ ̂ be any vector. What √ √ (1) Magnitude of is √ will be the unit vector ̂ in the direction of ? (2) Angle between and is (1) ̂ ̂ (3) is ̂ (2) ̂ ̂ (4) is a null vector (3) ( ̂ ̂) √ 3. The unit vector parallel to the resultant of the (4) ( ̂ ̂) √ vectors ̂ ̂ ̂ and ̂ ̂ ̂ is : 7. Which of the following pair of forces will never (1) , ̂ ̂ ̂- give resultant force of ? ̂- (1) and (2) , ̂ ̂ (2) and (3) , ̂ ̂ ̂- (3) and (4) , ̂ ̂ ̂- (4) and 4. Consider a vector that lies in -plane. If 8. is a regular hexagon. The center of and are the magnitudes of its and - hexagon is at point. Then the value components respectively, then the correct of is representation of can be given by (1) (2) (1) (3) (4) Zero  SECTION-II (CHEMISTRY) 9. The number of moles of methane required to 13. If the concentration of glucose ( ) in produce ( ) after complete combustion blood is , what will be the molarity of is : (Given molar mass of methane in glucose in blood? ) (1) (1) 0.75 (2) (2) 0.5 (3) (3) 0.35 (4) (4) 0.25 14. The molarity of a solution obtained by mixing 10. The simplest formula of a compound containing of with of of element (atomic mass ) and will be of element ( atomic mass ) is: (1) (1) (2) (2) (3) (3) (4) (4) 15. In the reaction 11. Which one of the following will have the largest each of and will form number of atoms? (1) (1) 1 g Au (s) (2) (2) 1 g Na (s) (3) (3) 1 g Li (s) (4) (4) 1 g of Cl2 (g) 16. Which of the following reactions is not correct 12. An element, has the following isotopic according to the law of conservation of mass? composition: (1) ( ) ( ) ( ) The (2) ( ) ( ) ( ) ( ) weighted average atomic mass of the naturally (3) ( ) ( ) ( ) occurring element is closest to: (4) ( ) ( ) ( ) ( ) (1) 201 amu (2) 202 amu (3) 199 amu (4) 200 amu SECTION-III (MATHEMATICS) 17. Solution of (x + 1) (2x – 1) (x – 3) < 0 is: 19. Solution of inequality 2x – 3 > 0 and 4 – 3x < 0 is (1) ( ). / (1) (2). / ( ) (2) (3). / ( ) (3) (4) No solution (4) ( )( ) ( )( 18. Solution of is ) ( ) 20. Complete solution set of is (1) , - , - (1) ( - * + (2) , ) , ) (2) ( - (3) ( – ] ( - , ) (3) ( - * + (4) No solution (4) ( ) * + 21. If 23. If ( ) √ then is equal to then, x + y + z is equal to (1) 4 (1) 1/6 (2) 0 (2) 11/6 (3) –4 (3) 13/16 (4) Cannot be determined (4) Cannot be determined 24. If then is 22. Which one of the following is equivalent equal to to , ) (1) abc (1) (2) 6 abc (2) (3) –18 abc (3) (4) 18 abc (4) PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if