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Let the total number of valid votes cast = '100x' Then, number of valid votes received by the winning candidate = 100x X 0.66 = '66x' Number of valid votes received by the loser candidate = 100x - 66x = '34x' According to the question, 66x - 34x = 1440 Or, x = 1440 ÷ 32 = 45 So, number of valid votes received by the loser candidate = 34 x 45 = 1530
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