Question

The total annual budget of a 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 to be used for the construction of parks?

• A. ₹3233 lakhs
• B. ₹3234 lakhs
• C. ₹3235 lakhs
• D. ₹3237 lakhs

Answer 1

The correct option is D ₹3237 lakhs

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

In case of option 1:
Annual budget of the state = ₹3233 lakhs.
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 $₹1lakh$

In case of option 2:
Annual budget of the state = ₹3234 lakhs.
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 $₹2lakhs$

In case of option 3:
Annual budget of the state = ₹3235 lakhs.
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 $₹3lakhs$

In case of the option 4:
Annual budget of the state = ₹3237 lakhs
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 $₹5lakhs$

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

Total Budget	Amount allocated to parks
₹3233 lakhs	₹1 lakhs
₹3234 lakhs	₹2 lakhs
₹3243 lakhs	₹3 lakhs
₹3237 lakhs	₹5 lakhs

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