• No products in the cart.

# I.S.I. and C.M.I. Entrance Corner

### Efficiency of Heat Engine

A heat engine absorbs heat of $$10^5Kcal$$ from a source, which is at $$127^\circ$$ and rejects a part of heat …

### Combinatorial Argument 2 – another problem from I.S.I. & C.M.I. Entrance

You may want to look into the first part

### Power Consumption of Electric Heater (KVPY ’10)

An electric heater coonsists of a nichrome coil and under $$220V$$ consuming $$1KW$$ power. Part of its coil burned out …

### Complete-Not Compact (TIFR 2013 problem 23)

Question: True/False? Let $$X$$ be complete metric space such that distance between any two points is less than 1. Then …

### Parallel Plate Capacitor using Paper Sheets

Suppose you are to construct a parallel plate capacitor of $$1\mu F$$ by using paper sheets of thickness $$0.05mm$$ as …

### Understanding the Infinitesimal

Understanding the Infinitesimal  Cheenta Notes in Mathematics   Adding infinitely many positive quantities, you may end up having something finite. …

### Differentiability at origin (I.S.I. B.Stat, B.Math Subjective 2017)

Problem: Suppose $$f : \mathbb{R} \to \mathbb{R}$$ is a function given by  f(x) = \left\{\def\arraystretch{1.2}% \begin{array}{@{}[email protected]{\quad}[email protected]{}} 1 …

### Region close to center (I.S.I. B.Stat, B.Math Subjective 2017, Problem 4)

Problem: Let S be the square formed by the four vertices (1, 1), (1, -1), (-1, 1), and (-1, -1). …

### Number theoretic function (I.S.I. B.Stat, B.Math 2017 Subjective 5)

Problem Let $$g: \mathbb{N} \to \mathbb{N}$$ with g(n) being the product of the digits of n. Prove that …

#### Who’s Online

There are no users currently online

#### Upcoming Events

• Early Bird Math Olympiad December 14, 2017 at 4:30 pm – 6:00 pm
• Early Bird Math Olympiad December 15, 2017 at 8:15 pm – 9:45 pm
• Intermediate Math Olympiad December 15, 2017 at 8:15 pm – 9:45 pm