Friday, July 3, 2009

Problem Of The Day 04.07.2009

Let aabb be a 4-digit number (a≠0). How many such numbers are perfect squares?

A) 0   B) 1   C)  2   D) 3  E) 4

5 comments:

  1. the answer is option (B) 1
    coz..d number shud in d form of 11x^2...
    aa=11..
    den bb must be in d form a0b=704
    ...
    simply (88)^2=7744

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  2. yeah right
    it came in CAT 2007

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  3. There is a neat trick to it.
    (25±x)², (50±x)², (100±x)² have last two digits of the same form.
    now only the square of 12 has last two digits which are same
    hence, the squares of 12, 38, 62 and 88 have 44 as last two digits.

    only 88 is a multiple of 11.

    Hence 1 solution

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  4. yes... use wht implex has used.... but one can go one step further here... :)
    wld post it sometime.... i call it concept of sweet squares :)

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