The number of positive integers n in the set {2, 3,..., 200} such tha

1.	The number of positive integers n in the set {2, 3,..., 200} such that 1/n has a terminating decimal expansion is(a) 16(b) 18(c) 40(d) 100
Answer» Answer is : (b) 18 We have, n ∈ {2, 3, 4, 5, 6, …, 200} 1/n has terminating decimal of n = 2^a x 5^b ∴ n = 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200 ∴ Total number of n = 18

The number of positive integers n in the set {2, 3,..., 200} such that 1/n has a terminating decimal expansion is(a) 16(b) 18(c) 40(d) 100

Answer»

Answer is : (b) 18

We have, n ∈ {2, 3, 4, 5, 6, …, 200} 1/n has terminating decimal of n = 2^a x 5^b

∴ n = 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200

∴ Total number of n = 18

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The number of positive integers n in the set {2, 3,..., 200} such that 1/n has a terminating decimal expansion is(a) 16(b) 18(c) 40(d) 100

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