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How many numbers from 250 to 1000 are exactly divisible by 5, 6 and 7?
1. 7
2. 6
3. 5
4. 3

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Correct Answer - Option 4 : 3

Calculation:

Number divisible by 5, 6 and 7 should be divisible by their LCM

⇒ LCM of 5, 6 and 7 is 210

Number of multiplies of 210 in 250 to 1000 

⇒ 210 × 2 = 420, 210 × 3 = 630, 210 × 4 = 840

∴  Numbers from 250 to 1000 are exactly divisible by 5, 6 and 7 is 3

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