Friday, 27 September 2013

numbers 2


  1.  N = 3 x 7 x 11 x 15 x 19 x ........... x 2003 x 2007 x 2011. Find the last three digits of N.
  2.  When a positive integer n is divided by 5, 7, 9, 11 the remainders are 1, 2, 3, 4 respectively. Find the minimum value of n.
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...