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. How many numbers are therefrom 300 to 650 which arecompletely divisible by both 5and 72/ 300召650 ส币떼 frm

Answer»

First take L. C. M. OF 5 & 7 = 35Now mark 35 as common difference (d)First number which is divisible by 35 in between 300 & 650 is (a) = 315Last number which is divisible by 35 is (an) = 630Therefore, an = a + (n - 1)d630 = 315 + (n - 1)35630 - 315 = 35(n - 1)315 = 35 (n - 1)315 / 35 = n - 19 = n - 19 + 1 = n10 = nTherefore, their are 10 numbers which are divisible by both 5 & 7 which lies between 300 & 650

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