Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : 9,900

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Detailed Solution

सही उत्तर 9,900 है।

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Question:

Find the greatest four-digit number which is exactly divisible by 12, 15 and 18. / वह बड़ी-से-बड़ी चार अंकों की संख्या ज्ञात कीजिए जो 12, 15 और 18 से पूर्णतः विभाज्य हो।

1.
9,900
2.
9,870
3.
9,940
4.
9,840

Correct Answer: 9,900

LCM$(12, 15, 18) = 180$. The greatest four-digit number is 9,999; $9,999 \div 180 = 55.55$. Hence the required number $= 55 \times 180 = 9,900$. / लघुत्तम समापवर्त्य$(12, 15, 18) = 180$। $55 \times 180 = 9,900$।

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