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?

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?

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