Multiple choice

The largest number, which divides 61,72 and 83 to leave remainders 1,2 and 3 respectively is : वही बड़ी से बड़ी संख्या ,जिससे 61, 72 और 83 को भाग करने पर शेषफल क्रमशः 1, 2 और 3 प्राप्त होते हैं?

  1. 20

  2. 15

  3. 12

  4. 10

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

To find the largest number that divides 61, 72, and 83 leaving remainders 1, 2, and 3 respectively, we need to find the HCF of (61-1)=60, (72-2)=70, and (83-3)=80. HCF of 60, 70, and 80 is 10. Options A (20), B (15), and C (12) do not divide all three numbers evenly.