A group decides that each subscriber will pay as many rupees as there are subscribers. The total subscription collected is Rs 2,582,449. Find the number of subscribers.
Aptitude
Order of Magnitude
Difficulty: Easy
Choose an option
Answer
Correct Answer: 1607
Explanation
Introduction:This is a direct squares problem. If there are n subscribers and each pays n rupees, the total collected becomes n^2 rupees.
Given Data / Assumptions:
- Total subscription = Rs 2,582,449
- Each subscriber pays = n rupees
- Total = n * n = n^2
Concept / Approach:Set n^2 = 2,582,449 and take the (positive) square root to find n.
Step-by-Step Solution:n^2 = 2,582,449n = sqrt(2,582,449) = 1607 (since 1607^2 = 2,582,449)
Verification / Alternative check:Compute 1607 * 1607 to verify the exact total.
Why Other Options Are Wrong:1603, 1503: Their squares do not equal 2,582,449.1291225: That is a large square-like number but not n; it resembles n^2 in format, not the count.
Common Pitfalls:Confusing total paid per person with total collected; not recognizing the square relation.
Final Answer:1607