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Solution

Correct Option: 3

LCM(12,15,18)=180(12, 15, 18) = 180. Smallest 5-digit multiple of 180: 10000/18055.5610000/180 \approx 55.56, so next multiple is 56×180=1008056 \times 180 = 10080. Check: 10080/12=84010080/12 = 840, 10080/15=67210080/15 = 672, 10080/18=56010080/18 = 560. All integers.

Note: The NTA key marks option (B) 10020, but 10020 is not divisible by 18 (10020/18=556.6710020/18 = 556.67). We have selected 10080, which is the genuine smallest 5-digit common multiple.

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