Verified answer

Answer:

Given –

• Two numbers given, 70 and 125.
• The remainders after dividing both the numbers are 5 and 8.

To Find –

• The largest number.

Solution –

When two numbers after dividing leave a remainder, it means if we reduce the remainder from the numbers, we will get a number which is totally divisible from the same divisor.

Similarly, applying this knowledge,

➸ Remainder of 70 is 5.

➸ Remainder of 125 is 8.

The divisible numbers : 70 - 5 and 125 - 8.

➸ 65 and 117.

Hence, the numbers 65 and 125 are totally divisible by the largest possible number we want to find.

Now, we know 65 is divisible by 13 and 125 is also divisible by 13. [13 × 5 = 65 and 13 × 9 = 125]

[Usage of hit and trial method to find it.]

Hence, 13 is the largest possible number which divides 17 and 125, leaving reminders as 5 and 8.

Option [A] is right.