वह सबसे छोटी संख्या ज्ञात कीजिए जो 4, 9 और 10 प्रत्येक से विभाजित हो जाए:

Question

वह सबसे छोटी संख्या ज्ञात कीजिए जो 4, 9 और 10 प्रत्येक से विभाजित हो जाए:

1. A. 900
2. B. 400
3. C. 490
4. D. 360 (Correct answer)

Correct Answer

Option D — 360

Detailed Solution & Explanation

The correct answer as printed is 360.

Key Points

• The smallest number divisible by 4, 9 and 10 is their LCM = 180 — which is not among the options.
• Both 360 (= 2 × 180) and 900 (= 5 × 180) are divisible by 4, 9 and 10, but 360 is the smaller, so it is the intended answer.
• 400 fails (not divisible by 9) and 490 fails (not divisible by 4 or 9).

Exam Tip

• LCM(4, 9, 10): take the highest power of each prime — 2² × 3² × 5 = 180.