JEE Main 2021MathematicsPermutation CombinationHardNumerical

JEE Main 2021 — Permutation Combination Question with Solution

JEE Main 2021 (27 Aug Shift 1)

Question

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 ________.

Enter your answer

Show full solutionCorrect answer: 100
Correct answer
100

Step-by-step explanation

Palindrome Numbers only in this form will be divisible by 55.

Numbers can be  between 0-9

Number of ways of selecting value of a=P110

Similarly  number of ways of choosing value of b=P110  (As a and b can also be same)

Therefore, Total number of ways of getting palindrome numbers divisible by 55 is =1×10×10×1=100

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Permutation Combination chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.