Palindromes are numbers whose value is the same backwards as forwards. For example, 1331 is a palindrome. How many palindromes can you find between 1000 and 9999 ?
A) 90
B) 89
C) 88
D) 91
E) 85

Question

Palindromes are numbers whose value is the same backwards as forwards. For example, 1331 is a palindrome. How many palindromes can you find between 1000 and 9999 ? ​
A) 90
B) 89
C) 88
D) 91
E) 85

Quizplus · Accepted Answer

For a number to be a palindrome in the range 1000-9999, its first digit must match its last, and its second digit must match its third. Since the first digit (thousands place) can be any digit from 1 to 9 (9 possibilities) and the second digit (hundreds place) can be any digit from 0 to 9 (10 possibilities), the total number of palindromes is 9 * 10 = 90.

Palindromes Are Numbers Whose Value Is the Same Backwards as Forwards