5 अंको की सबसे छोटी संख्या क्या है जो 12, 24, 48, 60 और 96 से पूर्णतया विभाज्य है?
A. 10000
B. 10024
C. 10160
D. 10080- C
- A
- D
- B
Answer (Detailed Solution Below)
Option 3 : D
Free
CT : GK (Ancient History)
10 Questions 10 Marks 6 Mins
12 = 2 × 2 × 3
24 = 2 × 2 × 2 × 3
48 = 2 × 2 × 2 × 2 × 3
60 = 2 × 2 × 3 × 5
96 = 2 × 2 × 2 × 2 × 2 × 3
⇒ 12, 24, 48, 60 और 96 का ल.स. = 2 × 2 × 2 × 2 × 2 × 3 × 5 = 480
सबसे छोटी 5 अंकीय संख्या = 10000
10000 को 480 से विभाजित करने पर हमें शेष के रूप में 400 मिलते हैं। [∵ 10000 = 480 × 20 + 400]
∴ Smallest 5 digits number divisible by 12, 24, 48, 60 and 96 = 10000 – 400 + 480 = 10080
Last updated on Sep 21, 2022
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