Question -
Answer -
Solution:
(A) 13
Explanation:
According to the question,
We have to find the largest number whichdivides 70 and 125, leaving remainders 5 and 8.
This can be also written as,
To find the largest number which exactlydivides (70 – 5), and (125 – 8)
The largest number that divides 65 and 117 isalso the Highest Common Factor of 65 and 117
Therefore, the required number is the HCF of65 and 117
Factors of 65 = 1, 5, 13, 65
Factors of 117 = 1, 3, 9, 13, 39, 117
Common Factors = 1, 13
Highest Common factor (HCF) = 13
i.e., the largest number which divides 70 and125, leaving remainders 5 and 8, respectively = 13
Hence, option (A) is thecorrect answer.