Question Detail
Question
The largest number that divides 70 and 125, leaving remainders 5 and 8 respectively, is:
Correct Answer
Option A is the correct answer.
Detailed Explanation
If a number divides 70 with remainder 5, then 70-5 = 65 is divisible by that number. Similarly, 125-8 = 117 is divisible by that number. So we need the HCF of 65 and 117. 65 = 5 × 13, 117 = 9 × 13 = 3² × 13. HCF = 13.
Hint
Subtract the remainders to find numbers that are exactly divisible.