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Try yourself:The number of common terms in the two sequences: 15, 19, 23, 27, . . . . , 415 and 14, 19, 24, 29, . . . , 464 is?

[2019]

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Try yourself:A natural number n is such that 120 ≤ n ≤ 240. If HCF of n and 240 is 1, how many values of n are possible?

[2016]

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Try yourself:How many ordered triplets (a, b, c) exist such that LCM (a, b) = 1000, LCM (b, c) = 2000, LCM (c, a) = 2000 and HCF (a, b) = k × 125?

[2015]

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Try yourself:The ratio of two numbers whose sum is 600 is 7 : 8. What is the LCM of the given two numbers?

[2014]

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Try yourself:How many natural numbers divide exactly one out of 1080 and 1800, but not both?

[2013]

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Try yourself:Arrange the numbers 27/6, 33/4 and 52/3 in ascending order.

[2013]

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Try yourself:(X + 3)/3, (X + 8)/4, (X + 15)/5, (X + 24)/6 ... ((X + 80)/10 is a sequence where X ≠ 1 What is the least value of X for which HCF (Numerator, Denominator) = 1 for each term of the given sequence?

[2011]

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