Short trick: the King property of definite integrals
By Abhishek Jaiswal, Mathematics faculty at Pramana Institute (IIT Roorkee, 18 years teaching JEE) Definite integration is one of the highest-scoring chapters in JEE Main, and many of its questions are built so that no antiderivative is needed. If you try to integrate them directly, you lose ten minutes. One property, which students call the […]
Short trick: hybridisation and shape from the steric number
By Kokil Jain, Chemistry faculty at Pramana Institute (IIT Kanpur, 14 years teaching) Chemical bonding is one of the most frequent Chemistry chapters in JEE Main, and NEET asks a shape or hybridisation question almost every year. Drawing Lewis structures for XeF₄ or I₃⁻ in the exam takes time and invites mistakes. One formula gives […]
Short trick: degrees of freedom, Cv, Cp and γ in 10 seconds
By Kumar Sir, Physics faculty at Pramana Institute (IIT Kanpur, 25 years teaching, ex-Allen) Every year, JEE Main and NEET ask at least one question that needs Cv, Cp or γ for a gas. Most students memorise a table of values, then panic when the question mixes two gases or says "linear triatomic". If you […]
Vectors formula sheet for JEE Main and Class 12
By Abhishek Jaiswal, Mathematics faculty at Pramana Institute (IIT Roorkee, 18 years teaching JEE) Vectors is one of the most reliable chapters in JEE Main: published counts put it at about two questions a year, more than almost any other Maths chapter. The questions are rarely hard. They test whether you pick the right product […]
Sexual reproduction in flowering plants: NEET quick revision
By Rajesh Sahu, Botany faculty at Pramana Institute (25 years teaching NEET, ex-Allen, ex-Aakash) This was the single biggest Biology chapter in NEET 2025, with about 10 questions by published analyses. Almost every question is a direct NCERT line: a wall layer, a number, an example plant. This page lists the lines that are asked […]
Current electricity formula sheet for JEE and NEET
By Kumar Sir, Physics faculty at Pramana Institute (IIT Kanpur, 25 years teaching, ex-Allen) Current electricity is one of the highest-weightage Physics chapters in JEE Main, at about two questions a year by published counts. It also appears regularly in NEET and carries a big share of the Class 12 board paper. Most of its […]
Human heart and cardiac cycle: NEET quick revision
By Dr Hemant Upadhyay, Zoology faculty at Pramana Institute (18 years teaching NEET, ex-Allen) "Body Fluids and Circulation" is one of the most reliable NCERT chapters in NEET. The questions come almost word for word from NCERT lines on the heart, its nodal tissue, the cardiac cycle and the ECG. Ten minutes on this page […]
Electrochemistry formula sheet for JEE and NEET
By Kokil Jain, Chemistry faculty at Pramana Institute (IIT Kanpur, 14 years teaching) Electrochemistry is a short chapter that pays well: questions on the Nernst equation, cell EMF and conductivity come up almost every year in both JEE Main and NEET. Almost every one of them is solved by picking the right formula and keeping […]
Modern physics formula sheet for JEE and NEET
By Kumar Sir, Physics faculty at Pramana Institute (IIT Kanpur, 25 years teaching, ex-Allen) Modern physics is the most frequent Physics chapter in JEE Main by published 10-year counts, at about 2.4 questions a year. It is also one of the easiest: almost every question is a direct formula with one or two numbers. Learn […]