Question

Below is a copy of a calendar for July 2015.

Statement: The sum of any two adjacent dates is always an even number. (Example of adjacent dates: 1 and 8, 22 and 29 etc)

(Do it algebraically and check if the given statement is true or false)

• A. False
• B. True

Answer 1

The correct option is A

False

Let us consider any two adjacent dates.

If we take the first number which is as 'x', then number adjacent to this will be 'x + 7'.

Then the sum is

(x) + (x + 7) = 2x + 7

We note that 2x is a multiple of 2 and hence always an even number. When 7 is added to an even number, we get an odd number.

Hence the sum of any two adjacent dates in a calender is always an odd number.

Therefore the given statement is false.