A binary operation \(plus\) defined on the set of integers is such that m \(plus\) n = n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0.
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2009
If m \(\ast\) n = n-(m + 2) for any real numbers m and n, find the value of 3 \(\ast\) (-5)
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2009
Find the infinity, the sum of the sequence 1, \(\frac{9}{10}\), (\(\frac{9}{10}\))2, (\(\frac{9}{10}\))3,...
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2009
A polynomial in x whose roots are \(\frac{4}{3}\) and -\(\frac{2}{5}\) is
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2009
If P = \(\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t.
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2009
i. S∩T∩W = S
ii. S∪T∪W = W
ii. T∩W = SIf S\(\subset\)T\(\subset\)W. Which of the above statements are true?
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2009
If x = {n2 + 1 : n is positive integer and 1\(\leq\) n \(\leq\) 5}, y = {5n : n is positive integer and 1 \(\leq\) n \(\leq\) 5}, find x ∩ y.
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2009
Simplify \(\frac{5 + \sqrt{7}}{3 + \sqrt{7}}\)
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2009
Solve 52(x - 1) x 5x + 1 = 0.04
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2009
A student spent \(\frac{1}{5}\) of his allowances on books, \(\frac{1}{3}\) of the remainder on food and kept the rest for contingences. What fraction was kept?