Question

What is the product of the digits of the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively?

• A. $0$
• B. $10$
• C. $14$
• D. $20$

Answer 1

The correct option is A $0$

Let us first deduct the respective remainders from the given numbers as follows:

$690-10=680$ and $875-25=850$

Now we find the HCF of $680$ and $850$:

$680=2\times 2\times 2\times 5\times 17850=2\times 5\times 5\times 17$

Therefore, HCF$(680,850)=2\times 5\times 17=170$

Hence, the greatest number that divides $690$ and $875$ leaving remainders $10$ and $25$ respectively.

and, the product of the digits is: $1\times 7\times 0=0$