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What is the maximum value of f(x) = 12 − |−6 − x + 4|; x ε R

In the following question, a part of a sentence is left blank. Choose from the given options, the one which would best fill the blank. Were…

The set of values of p for which the roots of the equation 3×2 + 2x + p(p − 1) = 0 are of opposite sign is ?

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What is the chance that a leap year, selected at random, will contain 53 Sundays ?