A. Which of the following are leap years? 1994 1952 2002 2004 2010 2012 2016 2028

The correct answer is: 1952, 2004, 2012, 2016, 2028

Explanation

A year is a leap year if it is divisible by 4, except that years divisible by 100 are leap years only if they are also divisible by 400. None of the years listed are century years, so we only need to check divisibility by 4.

Steps:

  1. Check 1994: $$1994\div4=498.5\Rightarrow\text{not divisible by 4 (not leap)}$$
  2. Check 1952: $$1952\div4=488\Rightarrow\text{divisible by 4 (leap)}$$
  3. Check 2002: $$2002\div4=500.5\Rightarrow\text{not divisible by 4 (not leap)}$$
  4. Check 2004: $$2004\div4=501\Rightarrow\text{divisible by 4 (leap)}$$
  5. Check 2010: $$2010\div4=502.5\Rightarrow\text{not divisible by 4 (not leap)}$$
  6. Check 2012: $$2012\div4=503\Rightarrow\text{divisible by 4 (leap)}$$
  7. Check 2016: $$2016\div4=504\Rightarrow\text{divisible by 4 (leap)}$$
  8. Check 2028: $$2028\div4=507\Rightarrow\text{divisible by 4 (leap)}$$

Therefore, the leap years in the list are 1952, 2004, 2012, 2016, 2028.

Related

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