JEE Mains 2025 April 2 Shift 1 Question Paper with Solutions - Are you attempting the JEE Main exam this April? Then this is the right spot for you! The JEE Main 2025 April 2 Shift 1 exam is held by the National Testing Agency (NTA) just got over. As the exam is now over, the candidates will be able to access the JEE Main 2025 April 2 shift 1 question paper with solutions on this page. These solutions will help IIT JEE aspirants to judge how the JEE Main April 2 shift 1 difficulty level, topic-wise weightage and recurring question patterns are going to be like. Find updates on JEE Main 2025 April 2 shift 1 question papers PDF download link and a detailed exam analysis. Also Check: JEE Main 2025 April 2 Answer key Shift 1
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JEE Main 2025 April 2 Shift 1 Question Paper Pattern and Structure
JEE Main 2025 April 2 Shift 1 Exam Pattern & Difficulty Level (Expected)
JEE Main 2025 April 2 Answer Key & Solution PDF Download
JEE Mains April 2 Shift 1 Memory Based Questions
Some Preparation Tips for JEE Main Exam April Session
JEE Mains 2025 April 2 Shift 1 Question Paper with Solutions Available - Download PDF
JEE Main 2025 April 2 Shift 1 Question Paper Pattern and Structure
Check the following table for the JEE Main 2025 exam pattern. The exam is held for a duration of 3 hours.
JEE Main 2025 April 2 Shift 1 Exam Pattern & Difficulty Level (Expected)
The JEE Main 2025 April 2 Shift 1 Question Paper with Solutions PDF will provide a step-by-step explanation for each question, assisting students in analyzing their performance.
JEE Main 2025 April 2 Shift 1 Question Paper is definitely going to help in the preparation of the exam. Download JEE Main 2025 April 2 Shift 1 Paper PDF here to be well prepared for further exams or test how your exam went. Here we provide the live session for memory based question paper and analysis.
JEE Main 2025 April 2 Answer Key & Solution PDF Download
The JEE Main 2025 April 2 Answer Key PDF download link is now activated as the examination is over. Students can match their responses with the JEE Main 2025 April 2 Answer Key Download to estimate their scores. Once all shifts are completed the JEE Main 2025 April 2 All Shifts Question Paper will also be accessible for reference. The unofficial JEE Main 2025 April 2 Question Paper PDF Download link is available now.
JEE Mains April 2 Shift 1 Memory Based Questions
Q 1. Find the maximum value of $n$ such that $50!$ is divisible by $3^n$.
Q 2. Let $P_n=\alpha^n+\beta^n, P_{10}=123, P_9=76, P_8=47$ and $P_1=1$, the quadratic equation whose roots are $\frac{1}{\alpha}$ and $\frac{1}{\beta}$.
Q 3. Number of solutions in $[-2 \pi, 2 \pi]$ for equation $2 \sqrt{2} \cos ^2 \theta+(2-\sqrt{6}) \cos \theta-\sqrt{3}=0$.
Q 4. The total number of 10 digits sequences formed by only $\{0,1,2\}$ where 1 should be used at least 5 times and 2 should be used exactly three times, is
Q 5. Let $a_1, a_2, a_3, \ldots$. is an A.P. and $\sum_{k=1}^{12} a_{2 k-1}=-\frac{72}{5} a_1$ and $\sum_{k=1}^n a_{k=0}$. Then the value of $n$ is
Q 6. Given the equation of a hyperbola $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and its directrix is $x=\sqrt{\frac{10}{81}}$ with a focus at $(\sqrt{10}, 0)$, then find the value of $9\left(e+l^2\right)$, where $I$ is length of latus rectum is
1. 2697
2. 2597 3. 2487 4. 2587
Q 7. If a twice differentiable function $f$ satisfies $f^{\prime}(x)=f(x)$ such that $f(0)=\frac{1}{2}=f^{\prime}(0)$. Then find $f^{\prime \prime}\left(\frac{\pi}{3}\right)$
Q.6 Which of the following statement(s) is correct is/are for the adiabatic process? A. Molar heat capacity is zero. B. Molar heat capacity is infinite. C. Work done on gas is equal to increase in internal energy D. The increase in temperature results in decrease in internal energy
1 A and C only
2 B and C only
3 A and D only
Q.7 What is the units of viscosity, intensity of wave and pressure gradient
Q.8 Which does not follow general trends among Halogens (1) I. E (2) Electro Affinity (3) Ionic Radius (4) Covalent Radius
Q.9 The figure shows an infinite plane having uniform charge density $\sigma$ and a small charged particle having charge $q$ and mass $m$ suspended by a light insulating thread. Find $\sigma$ if the charge is in equilibrium.
$1 \quad \frac{2 f_0 m g}{q}$ $2 \frac{\varepsilon_0 m g}{2 q}$ $3 \quad \frac{2 q}{\varepsilon_0 m g}$ $4 \frac{2 q \varepsilon_0}{m g}$
Q.10 Find the ratio of $\left(\gamma=\frac{C_p}{C_v}\right)$ for two gases having degree of freedoms $f=3$ and $f=5$.
Q.11 Relation between magnetic sucesptibility and magnetic permeability
Q.12 The ratio of magnetic field to center of circular coil to magnetic field at distance $x$ from the centre of circular coil
$ \left(\frac{x}{R}=3 / 4\right) $
Q.13 The greatest value of $n, n \in N$. If $3^n$ divides 50 ! a) 20 b) 21 c) 22 d) 23
Q.14 Two point charges $q$ and $9 q$ are placed at distance of $l$ from each other. Then the electric field is zero at a
1 Distance $\frac{l}{4}$ from charge $9 q$ 2 Distance $\frac{3 l}{4}$ from charge $q 3$ Distance $\frac{l}{3}$ from charge $9 q$ 4 Distance $\frac{l}{4}$ from charge $q$
Q.15 Given the equation of a hyperbola $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and its directrix is $x=\sqrt{\frac{10}{81}}$ with a focus at $(\sqrt{10}, 0)$, then find the value of $9\left(e+l^2\right)$, where $I$ is length of latus rectum is
1 2697
2 2597 $3 \quad 2487$ $4 \quad 2587$
Q.16 Which Amino acids is optically inactive (1) Alanine (2) Glycine (3) Valine (4) Aspartic Acid
Q. Two point charges $q$ and $9 q$ are placed at distance of $l$ from each other. Then the electric field is zero at a
1 Distance $\frac{l}{4}$ from charge $9 q$ 2 Distance $\frac{3 l}{4}$ from charge $q$3 Distance $\frac{l}{3}$ from charge $9 q$ 4 Distance $\frac{l}{4}$ from charge $q$
You can download detailed questions and analysis from here:
Some Preparation Tips for JEE Main Exam April Session
Students must learn all syllabus contents and test conditions so they can manage their time properly.
Design a scheduled timetable which equally covers every subject to establish balanced preparation.
Students should focus on studying NCERT textbooks for Physics Chemistry and Mathematics since these books provide foundation building material.
Consistent Practice will bring success Through Previous Year Question Paper Solutions and Practice of Mock Tests Which Build Speed Accurately.
Learning efficient time distribution for subjects along with question-solving speed practice during time-limited sessions is vital.
You should work on understanding basic concepts clearly instead of repeating information by memory during your studies. Standard reference materials should be consulted if required.
Regular revisions of important topics and concepts and formulas will help you retain information.
Do mock tests according to full-length formats to monitor your performance while locating your knowledge gaps.
A healthy balance of sleep with nutritious food alongside stress control measures helps both mental focus and work productivity.
JEE Main 2026: Preparation Tips & Study Plan
Download the JEE Main 2026 Preparation Tips PDF to boost your exam strategy. Get expert insights on managing study material, focusing on key topics and high-weightage chapters.
With 79 percentile in JEE Main, NITs/IIITs are unlikely, but you can target top private engineering colleges in Karnataka like RVCE, BMSCE, MSRIT, PES University, and DSCE through COMEDK or management quota.
You have a good chance for branches like ECE, Mechanical, or Civil. For CSE or AI/ML, management quota is the best route. Consider KCET counselling if you're a Karnataka student.
With a 79 percentile in JEE Main, your rank would be around 2.2–2.4 lakhs, which may not fetch top NITs but is still decent for several good private engineering colleges in Karnataka. You can consider colleges like Dayananda Sagar College of Engineering, NIE Mysore, JSS Science & Technology University, CMRIT, NMIT, and MSRIT (for non-CSE branches or through spot/management rounds). These colleges often accept students with JEE scores for some quota or have their own counseling/admission process. If you’re flexible with branches and can apply early, you’ll still have a good chance at getting into solid colleges with decent infrastructure and placement support.
With a JEE Main percentile of 79, you may not qualify for top-tier NITs, but you still have a decent chance to get into some good private engineering colleges in Karnataka through COMEDK or management quota. Institutes like Dayananda Sagar College of Engineering, RV Institute of Technology, New Horizon College of Engineering, BNMIT, and MS Ramaiah Institute of Technology (through higher fee quota) are worth considering. You can also apply for state counselling through KEA (if you're a Karnataka resident) or explore direct admission options if available.
With a JEE Main CRL rank of 1,05,454, you have a good chance of getting CSE, ECE, or core branches in NITs like Goa, Silchar, Meghalaya, Raipur, or Hamirpur through CSAB Special Rounds 2025. You can also get core branches (Mechanical, Civil) in other NITs and GFTIs like BIT Mesra and Assam University. Prioritize CSAB counselling and fill choices wisely to maximize your options.
JEE Main Paper 2B exam is for students who want to take admission in the B.Planning course. B.Planning means Bachelor of Planning. This course is about designing and planning cities, towns, roads, transport, housing, water supply, etc.
The exam has three parts. The first part is Mathematics, which includes Class 11 and 12 level maths questions. The second part is Aptitude, which checks your thinking, logic, shapes, and visual understanding. The third part is Planning-Based Questions, which include general knowledge about city planning and development.
The exam is conducted online (computer-based). It is for 400 marks. Each correct answer gives 4 marks and for each wrong answer, 1 mark is reduced. In the maths section, some questions are numerical (no negative marking for them).
The exam duration is 3 hours. You can take it in English, Hindi, or some regional languages. To appear for the exam, you must have passed 12th standard with Mathematics as a subject.
Based on your score, you can get admission in colleges like NITs, School of Planning and Architecture (SPA), and some IIITs. Each college has its own cutoff.
If you are interested in planning, design, and development, this exam is a good choice.
A flight attendant ensures passenger safety and comfort during flights. Key duties include conducting safety checks, assisting passengers, serving food and drinks, and managing emergencies. They must be well-trained in safety procedures and customer service. A high school diploma is typically required, followed by rigorous training to qualify for the role.
A Flight Engineer monitors and operates an aircraft’s complex systems like engines, fuel, and hydraulics during flight, ensuring optimal performance and safety. They assist pilots with technical issues, conduct inspections, and maintain records. This role requires strong technical knowledge, problem-solving, and communication skills. Training usually involves a degree in aviation or aerospace engineering and specialised certification.
An Aircrew Officer operates and navigates aircraft, ensuring safe flights and compliance with aviation regulations. Key duties include managing flight systems, conducting pre- and post-flight checks, and adhering to safety standards. The role typically requires working five days a week, with around 120 flight hours monthly. Employment may be contractual or permanent, depending on the airline.
An aerospace engineer designs, develops, tests, and maintains aircraft, spacecraft, and related systems. They apply physics and engineering principles to improve aerospace technologies, often working in aviation, defence, or space sectors. Key tasks include designing components, conducting tests, and performing research. A bachelor’s degree is essential, with higher roles requiring advanced study. The role demands analytical skills, technical knowledge, precision, and effective communication.
An air hostess, or flight attendant, ensures passenger safety and comfort during flights. Responsibilities include safety demonstrations, serving meals, managing the cabin, handling emergencies, and post-flight reporting. The role demands strong communication skills, a calm demeanour, and a service-oriented attitude. It offers opportunities to travel and work in the dynamic aviation and hospitality industry.
An aeronautical engineer designs, develops, tests, and maintains aircraft and related systems. They work on components like engines and wings, ensuring performance, safety, and efficiency. The role involves simulations, flight testing, research, and technological innovation to improve fuel efficiency and reduce noise. Aeronautical engineers collaborate with teams in aerospace companies, government agencies, or research institutions, requiring strong skills in physics, mathematics, and engineering principles.
A Safety Manager ensures workplace safety by developing policies, conducting training, assessing risks, and ensuring regulatory compliance. They investigate incidents, manage workers’ compensation, and handle emergency responses. Working across industries like construction and healthcare, they combine leadership, communication, and problem-solving skills to protect employees and maintain safe environments.
An airline pilot operates aircraft to transport passengers and cargo safely. Responsibilities include pre-flight planning, in-flight operations, team collaboration, and post-flight duties. Pilots work in varying schedules and environments, often with overnight layovers. The demand for airline pilots is expected to grow, driven by retirements and industry expansion. The role requires specialized training and adaptability.
Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
An architect plans and designs buildings, ensuring they are safe, functional, and aesthetically pleasing. They collaborate with clients, engineers, and contractors throughout the construction process. Key skills include creativity, design software proficiency, and knowledge of building codes. In India, a 5-year B.Arch degree and registration with the Council of Architecture are required to practise professionally.
Having a landscape architecture career, you are involved in site analysis, site inventory, land planning, planting design, grading, stormwater management, suitable design, and construction specification. Frederick Law Olmsted, the designer of Central Park in New York introduced the title “landscape architect”. The Australian Institute of Landscape Architects (AILA) proclaims that "Landscape Architects research, plan, design and advise on the stewardship, conservation and sustainability of development of the environment and spaces, both within and beyond the built environment". Therefore, individuals who opt for a career as a landscape architect are those who are educated and experienced in landscape architecture. Students need to pursue various landscape architecture degrees, such as M.Des, M.Plan to become landscape architects. If you have more questions regarding a career as a landscape architect or how to become a landscape architect then you can read the article to get your doubts cleared.
Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities.
Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.
A plumber installs, maintains, and repairs water, gas, and waste systems in homes and buildings. Their duties include fixing leaks, installing fixtures, testing systems, ensuring safety compliance, and working with other professionals on projects. They also document repairs and may supervise apprentices. Plumbers play a key role in ensuring public health and the smooth functioning of essential utilities.
Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.
Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.
Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.
Energy efficiency engineering is a broad field of engineering which deals with energy efficiency, energy services, facility management, plant engineering, and sustainable energy resources. Energy efficiency engineering is one of the most recent engineering disciplines to emerge. The field combines the knowledge and understanding of physics, chemistry, and mathematics, with economic and environmental engineering practices. The main job of individuals who opt for a career as an energy performance engineer is to find the most efficient and sustainable path to operate buildings and manufacturing processes.
Individuals who opt for a career as energy performance engineers apply their understanding and knowledge to increase efficiency and further develop renewable sources of energy. The energy efficiency engineers also examine the use of energy in those procedures and suggest the ways in which systems can be improved.
A geologist attempts to comprehend the historical backdrop of the planet we live on, all the more likely to anticipate the future and clarify current events. He or she analyses the components, deployments, results, physical characteristics, and past of the planet. A geologist examines the landforms and landscapes of the earth in relation to the geology, climatic, and human processes that have shaped them.
A geologist studies earth procedures, for example, seismic tremors, avalanches, floods, and volcanic eruptions to review land and draw up safe structure plans. When he or she researches earth materials, explores metals and minerals, yet in addition search for oil, petroleum gas, water, and strategies to extricate these.
A career as a Petroleum engineer is concerned with activities related to producing petroleum. These products can be in the form of either crude oil or natural gas. Petroleum engineering also requires the exploration and refinement of petroleum resources. Therefore, a career as a petroleum engineer comes up with oil and gas onshore jobs. There are also desk jobs in the petroleum industry. In layman’s terms, a petroleum engineer is a person who finds the best way to drill and extract oil from oil wells. Individuals who opt for a career as petroleum engineer also tries to find new ways to extract oil in an efficient manner.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
A career as a civil engineer is of great importance for the infrastructural growth of the country. It is one of the most popular professions and there is great professional as well as personal growth in this civil engineering career path. There is job satisfaction in this civil engineering career path, but it also comes with a lot of stress, as there are multiple projects that need to be handled and have to be completed on time. Students should pursue physics, chemistry and mathematics in their 10+2 to become civil engineers.
A career as a Transportation Engineer is someone who takes care of people's safety. He or she is responsible for designing, planning and constructing a safe and secure transportation system. The transportation sector has seen a huge transformation and is growing day by day and improving every day.
As a Transport Engineer, he or she needs to solve complex problems such as accidents, costs, traffic flow, and statistics. A Transport Engineer also collaborates for projects with some other companies.
A Loco Pilot operates trains, ensuring safe and timely transport of passengers or goods. Starting as an Assistant Loco Pilot, one can progress to senior roles with experience. The job demands technical knowledge, focus, and adherence to safety protocols. It involves coordination with train staff and may require working long hours under pressure.
