Question
How many multiples of 7 are there between 100 and 500
(both inclusive)?Solution
Smallest multiple of 7 ≥ 100: 100 ÷ 7 ≈ 14.28 → next integer = 15 So first multiple = 15 × 7 = 105 Largest multiple of 7 ≤ 500: 500 ÷ 7 ≈ 71.42 → integer part = 71 So last multiple = 71 × 7 = 497 Number of terms = (Last − First)/7 + 1 = (497 − 105)/7 + 1 = 392/7 + 1 = 56 + 1 = 57 Answer: 57 multiples
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