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  • A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55 , is__________Option: 1 100Option: 2 -<b

A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55 , is__________
 

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best_answer

For this numbers to be divisible by 5, it must end in 5.
\Rightarrow \underline{5}\; \; \underline{a}\;\; \underline{b}\; \; \underline{b}\;\; \underline{a}\; \; \underline{5}\;
\div by\, 11\Rightarrow \left ( 5+a+b \right )-\left ( 5+a+b \right )\div by\, 11
\Rightarrow True for any choice of a & b
\Rightarrow 10\times 10= 100 such numbers.

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Kuldeep Maurya

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