## Monday, October 29, 2012

### IIT JEE questions

Maths online presents IIT JEE practice questions for the aspirants of the distinguished Indian Institute of Technology entrance test. Sample question is given below, please pay 1\$ to get access to the questions (total 50 in number). Drop me a comment if you want the questions (and answers).

Sample question: 1. Prove that for every prime $p, p^{n}$ does not divide $((p - 1)*n)!$.
2. Define a nice number as a rational number, with numerator and denominator positive and not exceeding some number. $N(x, y, n)$ indicates the number of nice numbers, in $[0, n], a/b, a <= x and b <= y$, What is the formula for N?.
3. B.Stat question [Research problem conceived by me AFAIK]. Consider a prime number p. Consider all numbers having it as a factor. Repeatedly sum the digits of those numbers until you get a number less than or equal to p. In this sequence, will you ever get a p?

#### 2 comments:

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IIT JEE Online Test