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    For every pair of continuous functions f, g : [0, 1] → R such that max{ f (x) : x ∈ [0, 1]} = max{g(x) : x ∈ [0, 1]}, the correct statement(s) is(are)

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    Let n1 < n2 < n3 < n4 < n5 be positive integers such that n1 + n2 + n3 + n4 + n5 = 20. Then the number of such distinct arrangements (n1, n2, n3, n4, n5) is _________

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    Let f : [0, 4π] → [0, π] be defined by f (x) = cos^-1 (cos x). The number of points x ∈ [0, 4π] satisfying the equation f (x) = (10 -x)/10 is ___________

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    The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p(p(x)) = 0 has

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  • Question 10
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    The variance of first 50 even natural numbers is

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