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जेईई मेन 2025 जनवरी 28 शिफ्ट 1 प्रश्न पत्र और समाधान (JEE Main January 28 Shift 1 Question with Solutions) - नेशनल टेस्टिंग एजेंसी ने जेईई मेन सेशन 1 एग्जाम की फाइनल आंसर की जारी कर दी है। जेईई मेन 2025 के लिए 28 जनवरी की शिफ्ट 1 परीक्षा में शामिल उम्मीदवार आधिकारिक वेबसाइट से फाइनल जेईई मेन सेशन 1 आंसर की डाउनलोड कर अपने संभावित अंक का अनुमान लगा सकते हैं। जेईई मेन 2025 के लिए 28 जनवरी की शिफ्ट 1 का पेपर (JEE Main 2025 Jan 28 shift question paper in hindi) और आंसर आगे की शिफ्ट की परीक्षा में शामिल होने वाले छात्रों के लिए प्रश्नों के प्रकार, कठिनाई के स्तर और विभिन्न विषयों को प्रभावी ढंग से कैसे हल किया जाए, इस पर महत्वपूर्ण फीडबैक प्रदान करेगा। भारत में महत्वाकांक्षी इंजीनियरों के भविष्य को संवारने में जेईई मेन (JEE Main in hindi) महत्वपूर्ण भूमिका निभाता है। जेईई मेन 2025 सेशन 1 परीक्षा का आयोजन 22 जनवरी से 30 जनवरी 2025 तक हुआ।
जेईई मेन 2025 जनवरी 24 शिफ्ट 1 क्वेश्चन पेपर सॉल्यूशन पीडीएफ देखें
जेईई मेन 2025 28 जनवरी की शिफ्ट का प्रश्न पत्र (JEE Main 2025 Jan 28 shift question paper in hindi) उन लोगों के लिए एक महत्वपूर्ण संदर्भ होगा जो जेईई मेन 2025 परीक्षा की अगली शिफ्टों में बेहतर अंक हासिल करना चाहते हैं और परीक्षा की बदलती प्रकृति को समझना चाहते हैं।
जेईई मेन परीक्षा में बदलाव और उस बदलाव के अनुसार प्रश्नों को हल करने से उम्मीदवार के ज्ञान के साथ ही उनकी आलोचनात्मक सोच और समस्या-समाधान क्षमताओं का भी मूल्यांकन होगा। इसके आधार पर उम्मीदवार अपनी जेईई मेन की तैयारी को और बेहतर कर सकते हैं।
जेईई मेन्स 2025 जनवरी 24 शिफ्ट 2 प्रश्न पत्र समाधान के साथ देखें
परीक्षा के बाद जी मेन 2025 जनवरी 28 शिफ्ट 1 प्रश्न पत्र और समाधान (JEE Main 2025 January 28 Shift 1 Question Paper with Solutions in hindi) यहां उपलब्ध कराए गए है। ये दस्तावेज़ जेईई मेन 2025 की आगे होने वाली शिफ्ट/परीक्षा में उपस्थित होने वाले छात्रों को परीक्षा प्रारूप से परिचित होने, मुख्य विषयों की पहचान करने और आगामी शिफ्ट में बेहतर परिणामों के लिए अपने दृष्टिकोण को बेहतर बनाने में मदद मिलेगी। इससे उन्हें प्रश्नों और समाधानों को विस्तार से जानने का अवसर मिलेगा।
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28 जनवरी शिफ्ट 1
Q.1 If $\int_{-\pi / 2}^{\pi / 2} \frac{96\left(x^2+\cos x\right)}{1+e^x} d x=\alpha \pi^3+\beta$ (where $\alpha, \beta$ are positive integers), then $\alpha+\beta$ equal to
1) 144
2) 100
3) 64
4) 196
Q.2 The product $A$ and $B$ in the following reactions, respectively
(A) $\stackrel{\mathrm{AgNO}_2}{\longleftrightarrow} \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{Br}_2 \xrightarrow{\mathrm{AgCN}} \mathrm{B}$
(A) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{ONO}, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CN}$
(B) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NO}_2, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NC}$
(C) $\mathrm{CH}_3-\mathrm{CH}_2 \rightarrow+\mathrm{CH}_2-\mathrm{NO}_2, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2 \mathrm{CN}$
(D) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{ONO}, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NC}$
Q.3 The molecules having square pyramidal geometry are
(A) $\mathrm{SbF}_5 \& \mathrm{PCl}_5$
(B) $\mathrm{BrF}_5 \& \mathrm{XeOF}_4$
(C) $\mathrm{BrF}_5 \& \mathrm{PCl}_5$
(D) $\mathrm{SbF}_5 \& \mathrm{XeF}_4$
Q.4 The incorrect decreasing order of atomic radii is
(A) $\mathrm{Si}>\mathrm{P}>\mathrm{Cl}>\mathrm{F}$
(B) $\mathrm{Mg}>\mathrm{Al}>\mathrm{C}>0$
(C) $A l>B>N>F$
(D) $\mathrm{Be}>\mathrm{Mg}>\mathrm{Al}>\mathrm{Si}$
Q.5 A uniform wire of linear charge density $\lambda$ is placed along $y$-axis. The locus of equipotential surface is
$1 \quad x^2+y^2+z^2=$ constant
$2 \quad x^2+z^2=$ constant
$3 \quad x y z=\text { constant }$
$4 \quad x y+y z+z x=\text { constan }$
Q.6 Q. Number of ways to form 5 digit numbers greater than 50000 with the use of digits $0,1,2,3$, 5, 6,7 such that sum of first and last digit is not more than 8 , is equal to
$1 \quad 5119$
2 5120
3 4067
4 4068
Q.7 Consider the following element in In $\mathrm{TI}, \mathrm{Al}$, and Pb The most stable oxidation states of elements with highest and lowest first Ionisation enthalpies, respectively are
(A) +4 and +1
(B) +2 and +3
(C) +4 and +3
(D) +1 end +4
Q.8 $\frac{x-1}{2}=\frac{y-2}{5}=\frac{z-3}{6}$. Image of point $(2,3,4)$
Q.9 Q. Which of following reaction is correct? (Where symbols have their usual meanings)
$1 \quad n \rightarrow p+e^{-}+\mathrm{v}$
$2 \quad n \rightarrow p+e^{+}+v$
$3 \quad n \rightarrow p+c^{+}+\bar{v}$
$4 \quad n \rightarrow p+e^{-}+\bar{v}$
Q.10 $\int_0^x t f(t) d t=x^2 f(x), f(2)=3, f(6)=?$
Q.11 If $f(x)=\frac{2^x}{2^x+\sqrt{2}}, x \in R$, then $\sum_{k=1}^{81} f\left(\frac{k}{82}\right)$ is equal to
a) $81 \sqrt{2}$
b) 82
c) $\frac{81}{2}$
d) 41
Q.12 Two disc of radius $R$ and $2 R$ having moment of inertia $I_1$ and $I_2$ respectively. Find $I_1 / I_2$.
Q.13 $\int_{-\pi / 2}^{\pi / 2} \frac{96 x^2 \cos x^2}{1+e^x} d x$
Q.14 Area of region $\left\{(x, y): 0 \leq y \leq 2|x|+1,0 \leq y \leq x^2+1,|x| \leq 3\right.$
a) $\frac{17}{3}$
b) $\frac{32}{3}$
c) $\frac{64}{3}$
d) $\frac{80}{3}$
Q.15 The relation $R=\{(x, y) \mid x, y \in z, x+y=e v e n\}$ then $R$ is
(a) Equivalence
(b) Reflexive \& Transitive but-not Symmetric
(c) Symmetric \& Transitive but not reflexive
(d) Reflexive \& symmetric but not transitive
Q.16 $\left[\frac{\text { Modulus of rigidity }}{\text { Torque }}\right]=\mathrm{M}^{\prime} \mathrm{L}^{-3} \mathrm{~T}^c$. Find the value of C .
Q.17 $\begin{gathered}\int_0^x t f(t) d t=x^2 f(x) \\ f(2)=3, f(6)=?\end{gathered}$
Q.18 A coin is placed at the bottom of a hemispherical container filled with a liquid of refractive index $\mu$. Find the least refractive index if the coin is visible to an observer at $E$.
$\begin{array}{ll}1 & \sqrt{3}\end{array}$
$2 \quad\sqrt{2}$
$3 \quad \frac{8}{2}$
$4 \quad3 \sqrt{2}$
Q.19 Find co-ordinate of center of mass of given rectangular plate, given surface mass density $\sigma=\sigma_0 \frac{x}{a}$.
Q.20 If $\int_0^x t f(t) d t=x^2 f(x)$ and $f(2)=3$, then $f(6)$ equals to
$1 \quad 1$
2 6
$3 \quad 3$
4 2
Q.21 In the given figure, the square and the triangle have same resistance per unit length. Find the ratio of their resistances about adjacent corners.
1 32/27
2 27/32
$3 \quad 8 / 9$
$4 \quad 9 / 8$
Q. 22. Assertion : Work done by central force is independent of path. Reason : Potential energy is associated with every force.
1 Both Assertion and Reason are correct
2 Assertion is correct, Reason is incorrect
3 Assertion is incorrect, Reason is correct
4 Both Assertion and Reason are incorrect
Q.23 There is a smooth ring of radius $R$ in the vertical plane. A spring of natural length $R$ and elastic constant $K$ is vertical across along a diameter. The free end is connected to a bead of mass $m$ and when slightly disturbed it reaches point $C$ with speed where $V$ is
जेईई मेन 28 जनवरी 2025 शिफ्ट 1 के समापन के बाद मिले फीडबैक के आधार पर जेईई मेन 2025 शिफ्ट 1 जनवरी 28 के पेपर में गणित को सबसे कठिन माना गया। विस्तृत जानकारी नीचे देखें -
जेईई मेन 28 जनवरी शिफ्ट 1 का पेपर पिछले दिन (24 जनवरी) के पेपर और पिछले साल (2024) के पेपर की तुलना में कठिन था, जिसमें गणित लंबा था, भौतिकी वैचारिक रूप से चुनौतीपूर्ण थी, और रसायन विज्ञान सीधा था लेकिन एनसीईआरटी पर बहुत अधिक निर्भर था।
कुल मिलाकर कठिनाई का स्तर: गणित > भौतिकी > रसायन विज्ञान
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जेईई मेन उम्मीदवारों के लिए जेईई मेन पिछले वर्षों के प्रश्न पत्र (JEE Mains Previous Years Question Papers in hindi) एक आवश्यक संसाधन है क्योंकि ये प्रश्न पत्र परीक्षा के पैटर्न, अक्सर पूछे जाने वाले विषयों और कठिनाई के स्तर की स्पष्ट समझ प्रदान करते हैं। इन पेपरों को हल करके, उम्मीदवार खुद को उन प्रश्नों के प्रकार से परिचित कर सकते हैं जो आमतौर पर दिखाई देते हैं, जो प्रभावी समय प्रबंधन में मदद करता है और समस्या-समाधान कौशल (problem-solving skills in hindi) को बढ़ाता है।
पिछले वर्ष के विश्लेषण पर एक नज़र डालें:
फिजिक्स:
यांत्रिकी, थर्मोडायनेमिक्स, आधुनिक भौतिकी (modern physics) और इलेक्ट्रोस्टैटिक्स जैसे विषयों से प्रश्न प्रमुखता से पूछे गए।
कठिनाई का स्तर मध्यम से कठिन तक था, जिसमें कुछ लंबी गणनाएं और मुश्किल वैचारिक प्रश्न थे।
मैथेमेटिक्स:
बीजगणित, कलन और निर्देशांक ज्यामिति मुख्य क्षेत्र थे, जिसमें कैलकुलस के प्रश्न कठिन रहे।
पेपर में कुछ प्रश्नों के लिए छात्रों को कई अवधारणाओं को लागू करने की आवश्यकता थी, जिससे जटिलता का स्तर बढ़ गया।
केमिस्ट्री:
भौतिक रसायन विज्ञान (फिजिकल केमिस्ट्री) केमिकल काइनेटिक्स, थर्मोडायनेमिक्स और मोल अवधारणाओं पर केंद्रित है।
ऑर्गेनिक केमिस्ट्री में सीधे प्रश्न थे, विशेष रूप से प्रतिक्रिया तंत्र और कार्यात्मक समूहों के बारे में।
इनऑर्गेनिक केमिस्ट्री के प्रश्न ज्यादातर वैचारिक थे, जो आवधिक गुणों (periodic properties) और समन्वय यौगिकों (coordination compounds.) पर केंद्रित थे।
पिछले वर्षों के विश्लेषण के आधार पर, JEE Main 2025 जनवरी 28 शिफ्ट 1 परीक्षा (JEE Main 2025 January 28 Shift 1 exam in hindi) में मध्यम समग्र कठिनाई स्तर होने का अनुमान है। गणित सबसे कठिन खंड होने की संभावना है, जिसमें कैलकुलस और बीजगणित पर महत्वपूर्ण ध्यान दिया जाएगा। भौतिकी भी चुनौतीपूर्ण होने की उम्मीद है, जिसमें मैकेनिक्स और इलेक्ट्रोमैग्नेटिज्म जैसे विषय मध्यम कठिनाई वाले हो सकते हैं। सभी वर्गों के लिए गहन तैयारी की आवश्यकता होगी, गणित सबसे अधिक मांग वाला होने की संभावना है। केमिस्ट्री सेक्शन में अच्छा प्रदर्शन करने के लिए ऑर्गेनिक केमिस्ट्री की अवधारणाओं और प्रतिक्रियाओं की ठोस समझ होना भी महत्वपूर्ण है।
उम्मीदवारों को भौतिकी, रसायन विज्ञान और गणित के साथ 10+2 उत्तीर्ण होना चाहिए, और आवश्यक प्रतिशत मानदंड को पूरा करना चाहिए।
जेईई मेन पेपर 1 बीई/बीटेक के लिए है, और पेपर 2 बीआर्क/बीप्लानिंग के लिए है, जिसमें एमसीक्यू और संख्यात्मक प्रश्न हैं।
Exam Date:15 January,2025 - 30 August,2025
Counselling Date:12 August,2025 - 16 August,2025
Application Date:14 August,2025 - 14 August,2025
In JEE Main exam pattern , each correct answer in Paper 1 (B.Tech) is awarded 4 marks, and each incorrect answer results in a deduction of 1 mark. Unanswered questions do not incur any negative marking. Paper 1 includes 90 questions, 75 of which are to be attempted.
These questions are divided into three sections: Physics, Chemistry, and Mathematics, with 25 questions each (20 MCQs and 5 numerical value questions). The total marks for Paper 1 are 300.
You can get here Jee main previous years paper
Hope it helps...
Hello Ashutosh,
If you have completed your UPTAC counselling verification with the correct Class 12 board, school name, and original marksheet - and the statuses were "passed" or you verified as a "pass" when the online document verification showed "passed" - the incorrect information in the JEE application (whether the board name, school or school type) should not lead to cancellation at physical reporting.
During physical reporting, the institutes are primarily checking that the original documents correspond to the verified documents in the counselling. Since you would have included the information to provide in the UPTAC verification, and it was accepted, you should be okay. Just ensure to carry along the originals and the UPTAC verification slip so that you can without hassles.
Hi,
JEE Mains previous year question papers and answer keys are available on the official NTA JEE website for the past several years. For older papers (more than 4–5 years back), you can find them in JEE preparation books by publishers like Arihant, MTG, or Disha, which compile the last 10 years’ papers with solutions or you can find in trusted educational websites also . Solving past 10 years’ papers is an excellent way to understand exam patterns, frequently asked concepts, and improve time management. I recommend downloading both shift 1 and shift 2 papers for each year, as the JEE Mains now conducts multiple sessions.
You can check this link below : https://engineering.careers360.com/download/ebooks/jee-main-previous-10-year-questions-detailed-solutions
Good luck with your preparation.
Thank you.
JEE Mains syllabus is not yet released officially by National testing agency (NTA).
It is mostly expected to be available around October of 2025 on official website of NTA ( https://www.nta.ac.in ).
But for now you can take reference from 2025 syllabus using updated NCERT.
Here's the topics you can start preparing while official syllabus get released:
- Physics: Unit & Measurement, Kinematics, Laws of motion, Work-Energy-Power, Gravitation, Thermodynamics, Oscillation & Waves, Properties of Solids & Liquids, Current Electricity, Magnetic Effects, Optics, Modern Physics, Experimental Skills.
- Chemistry: Broadly Segmented into Organic, Inorganic, and Physical- topics like Purification & Characterization, Basic Principles, Hydrocarbons, Biomolecules, Practical Chemistry.
Mathematics: Sets, Relations & Functions, Complex Numbers, Quadratic Equations, Matrices & Determinants, Permutation & Combination, Calculus, Algebra, Coordinate Geometry.
Hi!
As per current JEE Mains eligibility rules, a student can appear in the exam in the year of passing Class 12 and the next two years. If you passed Plus Two in 2021, your direct eligibility window for JEE Mains has already passed. Even if you reattempt Class 12 in 2026, it is generally considered as an improvement attempt, and NTA counts your first attempt year for eligibility purposes. However, rules can change in future, so keep checking the official JEE Mains brochure for 2026–2027. Since you’re already pursuing B.Sc., you can also consider other state-level engineering entrance exams or lateral entry schemes for B.Tech after graduation. These options will help you continue toward your goal without depending only on JEE. It’s good you’re planning ahead, so keep exploring all possible pathways.
Best wishes for your studies!
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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.
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