How many natural numbers less than 1000 are divisible by 5 or 7 but NOT by 35?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 285
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Understanding |
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As the numbers divisible by 35 will be included in both 'Numbers divisible by 5' and 'Numbers divisible by 7': Numbers divisible by 5 or 7 but NOT by 35 = Numbers divisible by 5 + Numbers divisible by 7 – 2 × Numbers divisible by 35 |
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Application |
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Numbers less than 1000 that are divisible by 5 = 995/5 = 199 |
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Numbers less than 1000 that are divisible by 7 = 994/7 = 142 |
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Numbers less than 1000 that are divisible by 35 = 980/35 = 28 |
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Hence, Required number = 199 + 142 – 2 × 28 = 285 |