Question

Dino had $24$ dollars, and James had $36$ dollars. Each of them deposited equal amount of money in minimum number of banks. Given that both of them deposited the whole sum of money, they had. Which of the following statement is correct?

• A. Dino deposited in 2 banks.
• B. James deposited in 3 banks.
• C. James deposited in 12 banks.
• D. None of the above.

Answer 1

Answer: (A), (B)

James deposited in 3 banks.

Dino had $\$24$ and James had $\$36.$

Each of them deposited equal amount of money in minimum number of banks.

$\therefore$ Their deposit in each bank should be maximum and equal.

The maximum possible amount with is a factor to both the principal amount is the GCD of $24,36.$

$24=2\times 2\times 2\times 3$
$36=2\times 2\times 3\times 3$
GCD is $2\times 2\times 3=12$
So, Each of them need to deposit $\$12$ in each bank.

Dino deposited in $\$24÷12=2$ banks.
James deposited in $\$36÷12=3$ banks.