There are 2828 integers between 1000 and 9999.
There are 1,000 positive integers between 1,000 and 9,999, inclusive, that are divisible by nine.
a 8-digits palindromic number is a number consisting of a 4-digits number written and then written backward, i.e. 1234 4321 so there are as many palindromic 8-digits numbers as 4-digits numbers so from 1000 to 9999, so there are 8999 palindromic 8 digits number (I assumed that 00011000 is not to be considered as a valid 8 digit number)
There are 3168 such numbers.
There are 120 of them.
There are 10 palindromes divisible by 9 between 1000 and 9999.
There are 2828 integers between 1000 and 9999.
think I suppost to know.
There are 1,000 positive integers between 1,000 and 9,999, inclusive, that are divisible by nine.
11000
Prime No: between 1000 to 9999= 54_( 42x3)
a 8-digits palindromic number is a number consisting of a 4-digits number written and then written backward, i.e. 1234 4321 so there are as many palindromic 8-digits numbers as 4-digits numbers so from 1000 to 9999, so there are 8999 palindromic 8 digits number (I assumed that 00011000 is not to be considered as a valid 8 digit number)
To be palindromic, the year must be of the form XYYX where X and Y are digits, so we need only consider the first half of the number, namely the XY and the question becomes how many numbers XY are there between 20 and 99 such that XYYX is between 2000 and 9999.The answer depends upon the definition of "between":If "between" means strictly between, that is the year cannot be 2000 or 9999XY = 20 ⇒ 2002 > 2000 so allowed XY = 99 ⇒ 9999 = 9999 so not allowed⇒ number of years is 99 - 20 = 79If "between" means between but also including the limits, that is the year could be 2000 or 9999XY = 20 ⇒ 2002 > 2000 so allowed XY = 99 ⇒ 9999 = 9999 so still allowed⇒ number of years is 99 - 20 + 1 = 80
90 palindromes.
500 of them.
From 1000 to 9999 (inclusive) there are 9999 - 1000 + 1 = 9000 integers. Half of which are even, half of which are odd. So the answer is 9000/2 = 4,500.
1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333 and 9999.