Explanation:
Exp: A
13.Since, 5 and 8 are the remainders of 70 and 125, respectively. Thus, after subtracting these remainders from the numbers, we have the numbers 65 = (70 - 5), 117 = (125 - 8), which is divisible by the required number.
Now, required number = HCF of 65, 117 [for the largest number]
117 = 65 × 1 + 52 [\(\because\) dividend = divisor × quotient + remainder]
65 = 52 × 1 + 13
52 = 13 × 4 + 0
\(\therefore\) HCF = 13
Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8.
Applying
Medium **[Real Numbers]**