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21. The numbers between 200 and 300, whichwhen divided by 6, 8 or 9 leaves remainder 8 ineach case, are(a) 216,288(b) 224,296(c) 210,240(d) 224,288E |
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Answer» Given : The numbers between 200 and 300, which when divided by 6, 8 or 9 leaves remainder 8 in each case To FIND : Numbers (a) 216,288 (b) 224,296 (C) 210,240 (d) 224,288 e) 216 , 291 Solution: Number = N N = 6A + 8 N = 8B + 8 N = 9C + 8 => N - 8 = 6A = 8B = 9C => LCM of 6 , 8 * 9 = 72 N - 8 = 72K => N = 72K + 8 K N = 72K + 8 224 , 296 But Question is not correct because dividing by 6 will LEAVE remainder 2 not 8 and divided by 8 will remainder 0 224 , 296 Learn More: DETERMINE the smallest number which leaves remainder 6 and 10 ... -The least number which when divided by 12, 16,24 and 48 leaves a ...
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