MathJax TeX Test Page

## Master of Computer Applications

June 12, 2015
###### This page provides free study materials for entrance exams of MCA conducted by various Indian Universities. If you are preparing for MCA entrnces like BHU, BITM, CUCET, UOH, JECA, KIIT, KMAT, NIMCET, Pondicherry, PUCET, SRM and VIT.

Career Prospects :

Listed below are the career prospects for students who pursue MCA:

1. Software Engineer
2. Software Consultant
3. Network Engineer
5. Test Engineer
6. System Analyst
7. Programmer
8. Quality Assurance Engineer
9. Technical Support Engineers

Visit this page for the free study materials: http://kolkatamaths.yolasite.com/mca.php

## Indian Statistical Institute Entrance Paper : B.Stat and B.Math

June 5, 2015
Question paper for ISI ( Indian Statistical Institute Entrance Exam Paper for the courses B.Stat and B.Math
ISI 2014   ISI 2013   ISI 2012
For Solved problems visit http://kolkatamaths.yolasite.com/problems-for-isi.php

B. Stat. (Hons.) and B. Math. (Hons.)

## Did you know?

* The course has no fees. In fact, all admitted candidates get stipend of Rs. 3000/- per month and contingency grant of Rs   3000/- per annum.
* In the Admission Test, you are only tested in Mathematics!

El...

## Counting

April 14, 2015
MathJax TeX Test Page If the integers $m$ and $n$ are chosen at random from $1$ to $100$, then find the probability that the number of the form $7^n+7^m$ is divisible by $5$. $$.$$ Number of numbers of the form $7^n+7^m$ is 100×100= $100^2$ , since m,n ∈{1 ,…………,100}. Now $7^1=7,7^2=49,7^3=343$ and $7^4=2401$ , the digits at the unit places are 7,9,3 and 1. $$.$$ For n ≥5 the digit at the unit place for the number $7^n$ will be one of among the num...

## Counting

April 14, 2015
Evaluate: $\int_{-n}^n max \{x+|x|,x-[x]\} \mathrm{d}x$ where $[x]$ is the floor function  When $x > 0$ we see that $x+|x| = 2x$.  Let $k \leq x < k+1, k = 0,1,2,.........,n-1$ $\Rightarrow [x] = k, therefore, x-[x] = x-k$  $So, x+|x| = 2x > x - k = x-[x] \Rightarrow max \{x+|x|,x-[x]\} = 2x$  $\int_{0}^n max \{x+|x|,x-[x]\} \mathrm{d}x = 2 \int_{0}^n x \mathrm{d}x = x^2|_{0}^{n^2} = n^2 \dots (A)$  When $x < 0$ we see that \(x+|x| = x-...

## JEE MAIN MATHEMATICS SOLVED PAPER 2015

April 14, 2015
JEE (MAIN)-2015

MATHEMATICS
Important Instructions:

1.  The test is of 3 hours duration.

2. The Test Booklet consists of 90 questions. The maximum marks are 360.

3. There are three parts in the question paper A, B, C consisting of Mathematics, Physics and

Chemistry having 30 questions in each part of equal weightage. Each question is allotted 4 (four)

marks for each correct response.

4. Candidates will be awarded marks as stated above in Instructions No. 3 for correct res...

## ISC Mathematics Question Paper Solved 2015

April 14, 2015

Get the solved ISC Mathematics Question paper for the year 2015. The solutions are short need not to be considered as the way of answering in board exams. Click Below
ISC MATHS PAPER 2015

## Bayes' Theorem: Solved Problems

April 14, 2015
Solved Problems on Bayes' Theorem. NCERT Solutions

Question 1.

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

Question 2.

Of the students in a college, it is known that 60% reside in hostel and 40% are

day scholars (not residing in hostel). Previous year results report that 30% ...

## Problem on Functional Equation

August 30, 2012

Here is a good problem of functional Equation where the form of the function is unknown and you have to find the value of the derivative of the function at some given point. What will be given is a equation which the function is satisfying along with some other values of the function or the derivatives. These type of problems are important for Indian Statistical Institute (ISI) , Chennai Mathematical Institute (CMI) or even IIT.

Here is the link to the problem.

## Integration

November 30, 2011
Solved Problem on integration for 12th grade and competitive exams at the plus 2 level. Follow the link to download.
For more problems visit http://kolkatamaths.yolasite.com/xi-xii.php

## Straight Lines

November 19, 2011
Harder Problems and Notes on Coordinate Geometry-Straight Lines  for ICSE and CBSE.Click here to download