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Question Number 58069 by Kunal12588 last updated on 17/Apr/19

$$Between100and600,howmanynumber$$$$aresuchwhicharetotallydivisibleby11or17.$$

Commented by Kunal12588 last updated on 17/Apr/19

Commented by Kunal12588 last updated on 17/Apr/19

Commented by Kunal12588 last updated on 17/Apr/19

$$Isthiscorrect?$$

Commented by tanmay last updated on 17/Apr/19

$$yescorrect...$$

Answered by tanmay last updated on 17/Apr/19

$$N\left(11\right)=110,121,...594$$$$110+(x-1)\times 11=594$$$$x-1=\frac{484}{11}\to x=44+1=45total45nubers\leftarrow lookhere$$$$$$$$N\left(17\right)=102,119...595$$$$102+(y-1)17=595$$$$y=\frac{595-102}{17}+1$$$$y=\frac{493}{17}+1=30$$$$$$$$now17\times 11=187$$$$N\left(187\right)=187,374,561$$$$z=3$$$$AorB=A+B-A\cap B$$$$=45+30-3$$$$=72$$$$$$

Commented by Kunal12588 last updated on 17/Apr/19

$$thankyousir.Ianswered\left(image\right)thequestion$$$$buttherewasnoreplyandtherewasanother$$$$answerwheresomeonetook{}^{\prime }{or}^{\prime }as{}^{\prime }{and}^{\prime }.So$$$$Ithoughtmyanswer\left(image\right)iswrong.$$

Commented by MJS last updated on 18/Apr/19

$$‘‘{\mathrm{or}}^{″}\mathrm{is}\mathrm{not}\mathrm{the}\mathrm{same}\mathrm{as}‘‘{\mathrm{xor}}^{″}$$$$\mathrm{divisible}\mathrm{by}11\mathrm{or}\mathrm{divisible}\mathrm{by}17\mathrm{includes}$$$$\mathrm{divisible}\mathrm{by}11\mathrm{and}17$$$$\mathrm{divisible}\mathrm{by}11\mathrm{xor}\mathrm{divisible}\mathrm{by}17\mathrm{excludes}$$$$\mathrm{divisible}\mathrm{by}11\mathrm{and}17$$$$\mathrm{so}\mathrm{in}\mathrm{math}\mathrm{language}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{different}\mathrm{from}\mathrm{spoken}$$$$\mathrm{language}.{\mathrm{we}}^{\prime }\mathrm{re}\mathrm{on}\mathrm{a}\mathrm{math}\mathrm{forum},\mathrm{so}\mathrm{we}$$$$\mathrm{should}\mathrm{use}\mathrm{math}\mathrm{language}$$$$187\mathrm{is}\left(\left(\mathrm{divisible}\mathrm{by}11\right)\mathrm{or}\left(\mathrm{divisible}\mathrm{by}17\right)\right)$$$$187\mathrm{is}\mathrm{not}\left(\left(\mathrm{divisible}\mathrm{by}11\right)\mathrm{xor}\left(\mathrm{divisible}\mathrm{by}17\right)\right)$$$$\mathrm{btw}\mathrm{would}\mathrm{you}\mathrm{like}\mathrm{coffee}\mathrm{or}\mathrm{tea}?$$

Commented by Kunal12588 last updated on 18/Apr/19

$$yessir\mathrm{xor}is{}^{\prime }Exclusive{or}^{\prime }whichexcludes$$$${}^{\prime }{and}^{\prime }.wouldyoulikecoffeeortea-isaeg.$$$$ofexclusiveor.AmIrightsirMJS$$$$btwIlikecofee.$$

Commented by MJS last updated on 18/Apr/19

$${\mathrm{you}}^{\prime }\mathrm{re}\mathrm{right}.$$

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