Practice • Improve • Repeat
Welcome to Part 22, the finale of Module 5, updated for the UPSC ISS 2026 to 2027 cycle. Across the last four parts we built the entire integration toolkit, from straight lines to parabolas to Weddle’s precision. Knowing the formulas is half the battle. The other half: knowing when you never need them. A quadrature … Read more
Welcome back to Part 21 of Module 5, updated for the UPSC ISS 2026 to 2027 cycle. Simpson’s 1/3 Rule upgraded straight lines to parabolas, but it locked us into an even number of intervals. What if the data arrives in groups of 3 or 6? Two formulas answer: Simpson’s 3/8 Rule and the precision … Read more
Welcome back to Part 20 of Module 5, the single most important part of this module, updated for the UPSC ISS 2026 to 2027 cycle. The Trapezoidal Rule draws straight lines and pays for it with an O(h2)O(h^2) error. The upgrade: replace straight lines with parabolas. That upgrade is Simpson’s 1/3 Rule, and hidden inside … Read more
Welcome back to Part 19 of Module 5, updated for the UPSC ISS 2026 to 2027 cycle. In Part 18 we met the mother of all integration rules and watched n=1n = 1 give birth to its first child. Today we study that child in full depth: the Trapezoidal Rule, and more importantly, the concept … Read more
Welcome back to Part 18 of Module 5, updated for the UPSC ISS 2026 to 2027 cycle. Part 17 taught us rates of change from tables. Today we learn accumulated areas from tables: Numerical Integration, and it all begins with one master equation, the General Quadrature Formula, also called the Newton Cotes Quadrature Formula. Numerical … Read more
Welcome to Part 17 and the opening of Module 5, updated for the UPSC ISS 2026 to 2027 cycle. With Modules 1 to 4 behind you, interpolation holds no fear. Now we enter the highest weightage block of the Numerical Analysis unit: calculus without calculators, beginning with Numerical Differentiation. Numerical differentiation evaluates the derivative of … Read more
This is Article 7, the final article of the StatChakravyuh current affairs series for the UPSC ISS General Studies paper. The previous article covered Census 2027. Look at any UPSC ISS General Studies paper from the last decade and you will notice something at the very end of Question 4. The final part is almost always … Read more
Of every topic in this series, this is the one that may follow you into the interview room. If you are selected, you will work in a system where the census is the foundation of almost every other data set. Sampling frames are built from it. Population projections start from it. Fiscal transfers, delimitation and … Read more
There is a particular kind of answer that examiners remember. A student writes about women’s empowerment and, instead of the usual sentences about awareness and education, states that the proportion of women who have ever used the internet nearly doubled from 33.3 percent to 64.3 percent. One number, and the answer stops sounding like an … Read more
Monetary policy questions look intimidating until you notice something. The Reserve Bank does only three things in every review: it sets a rate, it declares a stance, and it publishes forecasts. Once you learn to read those three things, every policy review in your life takes ten minutes to understand. The June 2026 review is … Read more