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Author: Tinku Tara

find-the-value-of-b-and-B-U-A-B-if-U-1-2-3-4-5-6-7-8-9-10-A-2-4-5-6-B-1-5-8-9-is-a-unoin-

Question Number 7323 by rohit meena last updated on 23/Aug/16 $${find}\:{the}\:{value}\:{of} \\ $$$$\Delta'\Lambda\:{b}\:{and}\:\left({B}'{U}\:{A}\right)\:\boldsymbol{\Lambda}\:{B} \\ $$$${if}\:{U}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9},\mathrm{10}\right\} \\ $$$${A}=\left\{\mathrm{2},\mathrm{4},\mathrm{5},\mathrm{6}\right\} \\ $$$${B}=\left\{\mathrm{1},\mathrm{5},\mathrm{8},\mathrm{9}\right\} \\ $$$$\Lambda\:{is}\:{a}\:{unoin} \\ $$ Commented by…

Prove-that-n-1-2-n-2-4-n-4-8-n-8-16-n-Such-that-denotes-greatest-integer-function-and-n-N-

Question Number 7317 by lakshaysethi last updated on 24/Aug/16 $${Prove}\:{that}\:\left[\frac{{n}+\mathrm{1}}{\mathrm{2}}\right]+\left[\frac{{n}+\mathrm{2}}{\mathrm{4}}\right]+\left[\frac{{n}+\mathrm{4}}{\mathrm{8}}\right]+\left[\frac{{n}+\mathrm{8}}{\:\mathrm{16}}\right]+……..={n}. \\ $$$${Such}\:{that}\:\left[.\right]\:{denotes}\:{greatest}\:{integer}\:{function}\:{and}\:{n}\in{N}. \\ $$ Commented by FilupSmith last updated on 23/Aug/16 $${S}=\underset{{t}=\mathrm{1}} {\overset{\infty} {\sum}}\lceil\frac{{n}+\mathrm{2}^{{t}−\mathrm{1}} }{\mathrm{2}^{{t}}…

Question-7314

Question Number 7314 by Rasheed Soomro last updated on 23/Aug/16 Commented by Rasheed Soomro last updated on 23/Aug/16 $${Top}\:{and}\:{bottom}\:{of}\:{a}\:{solid}\:{are}\:{congruent}\:{circles}. \\ $$$${Above}\:{is}\:{the}\:{cross}-{section}\:{of}\:{the}\:{solid},\:{which}\: \\ $$$${is}\:{obtained}\:{by}\:{cutting}\:{the}\:{solid}\:{in}\:{two}\:{equal}\:{parts}. \\ $$$${Find}\:{out}\:{the}\:{volume}\:{of}\:{the}\:{solid}.…