Chapter 1: Problem 16
In a collage of 400 students every students read 5 newspapers and every newspaper is read by 80 students. The number of newspaper is (a) 25 (b) at the most 20 (c) at the most 25 (d) at least 25
Chapter 1: Problem 16
In a collage of 400 students every students read 5 newspapers and every newspaper is read by 80 students. The number of newspaper is (a) 25 (b) at the most 20 (c) at the most 25 (d) at least 25
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Get started for freeIf \(\mathrm{f}(\mathrm{x})=\cos (\log \mathrm{x})\) then \(\mathrm{f}(\mathrm{x}) \cdot \mathrm{f}(\mathrm{y})-(1 / 2)[\mathrm{f}(\mathrm{x} / \mathrm{y})+\mathrm{f}(\mathrm{xy})]\) has the value (a) 1 (b) \(-1\) (c) 0 (d) 3
Let \(\mathrm{R}\) be a relation in \(\mathrm{N}\) defined by \(\mathrm{R}=\left\\{\left(1+\mathrm{x}, 1+\mathrm{x}^{2}\right) / \mathrm{x} \leq 5, \mathrm{x} \in \mathrm{N}\right\\}\) which of the following is false? (a) \(\mathrm{R}=\\{(2,2),(3,5),(4,10),(5,17),(6,25)\\}\) (b) Domain of \(\mathrm{R}=\\{2,3,4,5,6\\}\) (c) Range of \(\mathrm{R}=\\{2,5,10,17,26\\}\) (d) (b) and (c) are true
If \(f: R \rightarrow R, f(x)=x^{2}+1\) then \(f^{-1}(-2) \cup f^{-1}(17) \ldots\) (a) \(\\{\pm 4\\}\) (b) \(\\{\pm 1, \pm 4\\}\) (c) \(\\{4\\}\) (d) \(\\{1,4\\}\)
Let \(\mathrm{X}=\\{(\mathrm{x}, \mathrm{y}, \mathrm{z}) / \mathrm{x}, \mathrm{y}, \mathrm{z} \in \mathrm{N}, \mathrm{x}+\mathrm{y}+\mathrm{z}=10, \mathrm{x}<\mathrm{y}<\mathrm{z}\\}\) and \(\mathrm{Y}=\\{(\mathrm{x}, \mathrm{y}, \mathrm{z}) / \mathrm{x}, \mathrm{y}, \mathrm{z} \in \mathrm{N}, \mathrm{y}=|\mathrm{x}-\mathrm{z}|\\}\) then \(\mathrm{X} \cap \mathrm{Y}\) is equal to (a) \(\\{(2,3,5)\\}\) (b) \(\\{(1,4,5)\\}\) (c) \(\\{(5,1,4)\\}\) (d) \(\\{(2,3,5),(1,4,5)\\}\)
Let \(\mathrm{f}(\mathrm{x})=\sec \mathrm{x}+\tan \mathrm{x}, \mathrm{g}(\mathrm{x})=[(\tan \mathrm{x}) /\\{1-\sec (\mathrm{x})\\}]\) Statement \(-1 \mathrm{~g}\) is an odd function Statement \(-2 \mathrm{f}\) is neither an odd function nor an even function (a) Statement lis true (b) Statement 2 is true (c) 1 and 2 both are true (d) 1 and 2 both are false
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