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The greatest number of four digits which when divided by 3, 5, 7, 9 leaves the remainders 1, 3, 5, 7, 9 leaves the remainders 1, 3, 5, 7 respectively, is ... (1) 9763 (2) 9673 (3) 9367 (4) 9969 |
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Answer» Correct option is (1) 9763 Let number = x ⇒ x = 3a + 1, x = 5b + 3,x = 7c + 5, x = 9c + 7 Let a = b = c = d We observe first term = - 2 For sequence, the common difference = LCM (3, 5, 7, 9) = 315 nth term = (-2) + (n -1) 315 Largest number = 9763 |
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