Multiple choice

Find the greatest number that divides 880 and 1140 leaves the remainder 25 and 15 respectively. वह बड़ी से बड़ी संख्या ज्ञात कीजिए जिससे 880 तथा 1140 को भाग दिया जाता है तो क्रमशः 25 तथा 15 शेष बचता है?

  1. 35

  2. 40

  3. 45

  4. 25

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

If n divides 880 and 1140 leaving remainders 25 and 15, then n divides (880-25)=855 and (1140-15)=1125 exactly. Find HCF of 855 and 1125. 855 = 3²×5×19, 1125 = 3²×5³. HCF = 3²×5 = 45.