Question
What is the total count of
numbers between 165 and 2485 that are divisible by both 25 and 35?Solution
ATQ, Numbers that are multiples of both 25 and 35 are multiples of L.C.M of 25 and 35 i.e. multiples of 175 Smallest multiple of 175 between 165 and 1485 = 175 × 1 = 175 Largest multiple of 175 between 165 and 1485 = 175 × 14 = 2450 So, total number of multiples of 175 in the given range = 14 – 1 + 1 = 14
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