Latest TCS Aptitude Question SOLUTION: How many palindromes in a clock from noon to midnight ? Example 05.45 is a palindrome

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(#M40038396) TCS Numerical Ability question Clock and Calendar Keep an EYE

How many palindromes in a clock from noon to midnight ? Example 05.45 is a palindrome

Asked In TCS Arun Prakash (9 years ago)

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karthikeyank  (9 years ago)

At 12 o' clock, there is only one way to get a palindrome and it's at 12:21

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At 1 o' clock, there are 6 ways to have a palindrome and they are


1:01, 1:11, 1:21, 1:31, 1:41, 1:51


At 2 o' clock, there are 6 ways to have a palindrome and they are

2:01, 2:11, 2:21, 2:31, 2:41, 2:51

etc... all the way up to 10 o' clock (but not including 10 o' clock)

There are 6 palindromes for each hour in the list above and there are 9 hours from 1 o clock to 9 o clock. So there are 6*9 = 54 palindromes from 1 to 9 o clock

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From 10 o' clock on to midnight, there are only 2 ways to get a palindrome and they are:

10:01, 11:11


So there are 1+54+2 = 57 palindromes total

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meenaravi  (9 years ago)

here ans is 57.
given 5.45 is a palindrome.starting number is 5 ending number is also 5.so from 1-2 O'clock=1.01,1.11,1.21,......1.51 (after 1.51 it is 2.00 pm starts).
2-3 O'clock=2.02,2.12......2.52 like wise 1-9 has (9*6)=54
but between 10-11(one palindrome that is 10:01,and 11-12=11.11(1 palindrome)).
so 54+2=56 and 12-1 has 1 palindrome that is 12.21
so 56+1=57

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abhishek  (9 years ago)

57 palindromes

Is this solution Helpfull? Yes (1) | No (1)  

shaik sameer  (9 years ago)

ok fine 57 will be the one

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