Question

17. Which of the following are ge leap years? a. 2000 b. 2002 c. 2010 d. 1992
please explain it
$maths$
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Answer 1

Answer :-

• 2000 and 1992 are leap years.

To find :-

• Which of the following are leap years.

a) 2000.

b) 2002.

c) 2010.

d) 1992.

Step-by-step explanation :-

• Before finding out our answer, first we need to understand what is a leap year.

Leap Year :-

• There are 365 days in an year. Leap year occurs after every four years. In a leap year, there are 366 days and we have 29 days in February instead of 28 days.

Now, we know that :-

• If a year [2000, 2010, etc] is divisible by 4, then it is a leap year.

Therefore,

• To find out whether a year is a leap year or not, we have to divide it by 4 and see whether it's exactly divisible.

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Solution :-

a. 2000.

$\sf{\longrightarrow 2000 \div 4}$

$\sf{\longrightarrow 500}$

We see that :-

• The year 2000 is exactly divisible by 4.

Hence :-

• 2000 is a leap year.

____________________

b. 2002.

$\sf{\longrightarrow 2002 \div 4}$

$\sf{\longrightarrow 500.5}$

We see that :-

• The year 2002 is not exactly divisible by 4.

Hence :-

• 2002 is a leap year.

____________________

c. 2010.

$\sf{\longrightarrow 2010 \div 4}$

$\sf{\longrightarrow 502.5}$

We see that :-

• The year 2010 is not exactly divisible by 4.

Hence :-

• 2010 is a leap year.

____________________

d. 1992.

$\sf{\longrightarrow 1992 \div 4}$

$\sf{\longrightarrow 498}$

We see that :-

• The year 1992 is exactly divisible by 4.

Hence :-

• 1992 is a leap year.

Thus :-

• 2000 and 1992 are leap years.

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