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Bunuel
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A book contains pages numbered from 001 to 999, inclusive. 05 Aug 2024, 11:00
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65% (hard)

Question Stats:

57% (01:45) correct 43% (01:30) wrong based on 199 sessions

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­A book contains pages numbered from 001 to 999, inclusive. How many pages are there in the book such that the page number is the same when read backwards? (121 is the same when read backwards, whereas 123 is 321 when read backwards)

A. 9
B. 18
C. 81
D. 90
E. 99
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E
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A book contains pages numbered from 001 to 999, inclusive. 12 Aug 2024, 09:43
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­For a 3-digit number pages , lets consider its digits to be ABA


  • The first and third digits A can be any digit from 1 to 9 (9 choices)
    Note: The first digit cannot be 0 or else it will become a two digit number.
  • The middle digit B can be any digit from 0 to 9 (10 choices).
    9 x 10 = 90

    Now, there are 9 such numbers from 1 to 99 (11,22,33,44,55,66,77,88,99)

    Therefore, total such pages are:
    90 + 9 = 99

    Answer - E
­
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A book contains pages numbered from 001 to 999, inclusive. 18 Aug 2024, 04:35
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\((10*10*1) - 1 = 99\)

There are 10 choices for first and second slot (0-9), and there's only 1 choice for the third slot (which is equal to the first slot). However, we have also included 000 here, so we subtract 1 choice from 100 choices to get 99.­
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A book contains pages numbered from 001 to 999, inclusive. 20 Aug 2024, 13:16
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Shreya1211
­For a 3-digit number pages , lets consider its digits to be ABA



  • The first and third digits A can be any digit from 1 to 9 (9 choices)
    Note: The first digit cannot be 0 or else it will become a two digit number.
  • The middle digit B can be any digit from 0 to 9 (10 choices).
    9 x 10 = 90

    Now, there are 9 such numbers from 1 to 99 (11,22,33,44,55,66,77,88,99)

    Therefore, total such pages are:
    90 + 9 = 99

    Answer - E
­
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­For the 9 numbers from 1 to 99 (11,22,33,44,55,66,77,88,99), should they not be considered as invalid since it is mentioned the numbering is done as 001 that means 11 will be represented as 011 and its reciprocal is 110?

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A book contains pages numbered from 001 to 999, inclusive. 20 Aug 2024, 21:58
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Shreya1211
­For a 3-digit number pages , lets consider its digits to be ABA



  • The first and third digits A can be any digit from 1 to 9 (9 choices)
    Note: The first digit cannot be 0 or else it will become a two digit number.
  • The middle digit B can be any digit from 0 to 9 (10 choices).
    9 x 10 = 90

    Now, there are 9 such numbers from 1 to 99 (11,22,33,44,55,66,77,88,99)

    Therefore, total such pages are:
    90 + 9 = 99

    Answer - E
­
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­but what about pages with single-digit page numbers, from 1 to 9? aren't they also the same when read backwards?
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A book contains pages numbered from 001 to 999, inclusive. 11 Nov 2025, 15:16
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