The smallest number of 4-digits exactly divisible by $12, 15, 20$ and $35$ is

1, 000

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1, 160

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1, 260

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None of the above

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Solution

The correct option is C $1, 260$
LCM of 12, 15,20 and $35 = 420$
420) 1000 (2
840
160
$∴$ required number
$= 1000 + (420 - 160) = 1, 260$ .

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