Correct answer is (A) 13
Solution:
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 [Since we need the largest number]
For this, 117 = 65×1+52 [∵ dividend = divisor × quotient + remainder]
⟹ 65 = 52×1+13
⟹ 52 = 13×4+0
∴ HCF = 13
Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8.