Question

The total annual budget of the state is equally shared among 8 departments. The remaining budget is then allocated for the construction of parks. Which of the following budgets allows the highest amount for the construction of parks?

• A. $3233 million
• B. $3234 million
• C. $3235 million
• D. $3237 million

Answer 1

The correct option is D $3237 million

To find highest amount used for construction of parks, find the highest remainder.

In case of option1:
Annual budget of the state = $\$3233$ millions.
Calculating $3233÷8$ by box division,


Here, the final quotient is $404$ and the remainder is $1$

∴ In this case, the remaining amount to be allocated for the construction of park is $\$1million$

In case of option 2:
Annual budget of the state = $\$3234$ millions.
Calculating $3234÷8$ by box division,


Here, final quotient is $404$ and the remainder is $2$

∴ In this case, the remaining amount to be allocated for construction of the park is $\$2million$

In case of option 3:
Annual budget of the state = $\$3235$ millions.
Calculating $3235÷8$ by box division,


Here, final quotient is $404$ and the remainder is $3$

∴ In this case, the remaining amount allocated for parks is $\$3million$

In case of the option 4:
Annual budget of the state = $\$3237$ millions.
Calculating $3237÷8$ by box division,


Here the final quotient is $404$ and $5$ is the remainder.

Hence, in this case, the remaining amount allocated for the park is $\$5million$

So, the budgets and the corresponding amount allocated to parks is:

Total Budget	Amount allocated to parks
$3233 million	$1 million
$3234 million	$2 million
$3243 million	$3 million
$3237 million	$5 million

Hence, the budget that allows for the highest amount for the construction of parks is $\$3237million.$