Identify the leap year among the following (Gregorian rules apply).

Difficulty: Easy

Correct Answer: 2016

Explanation:

Introduction / Context:Given several candidate years, we determine which are leap years using the standard Gregorian rules: divisible by 4, except centuries must be divisible by 400.

Given Data / Assumptions:

  • Candidate years: 2007, 2016, 2001, 1997.
  • None are century years, so the 400 exception is not needed.

Concept / Approach:For non-century years, the test reduces to “divisible by 4”. Check each year’s remainder modulo 4.

Step-by-Step Solution:

2007 % 4 = 3 ⇒ not leap.2016 % 4 = 0 ⇒ leap.2001 % 4 = 1 ⇒ not leap.1997 % 4 = 1 ⇒ not leap.

Verification / Alternative check:

2016 included February 29, confirming leap status.

Why Other Options Are Wrong:

2007, 2001, and 1997 are not divisible by 4; thus not leap years.

Common Pitfalls:

Overthinking the 400 rule for non-century years; it applies only to years like 1900/2000.

Final Answer:2016

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion