The number of divisors of 5400 which are divisible by 6 but not by 9 is __________.
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answer is 9.
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Detailed Solution
5400=23×33×52Since divisor is divisible by 6 but not by 9, divisor must be even, i.e., 2 must occur at least once. Also 3 must occur exactly once.So, number of required divisors = 3 x 1 x 3 = 9