Multiple choice

Find the greatest 3 digit number such that when this is divided by 12, 18, 21 and 28, it leaves a remainder 3 in each case. 3 अंको की सबसे बड़ी संख्या ज्ञात कीजिए जिसे जब 12, 18, 21 और 28 से भाग दिया जाय तो प्रत्येक दशा में 3 शेषफल बचे ।

  1. 759

  2. 859

  3. 659

  4. 827

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

LCM of 12, 18, 21, 28 is 252. Numbers leaving remainder 3 are of form 252k + 3. For greatest 3-digit: 252 × 3 + 3 = 759, which is option A.