CAT Quant Challengers and Rank/Moral Boosters

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CAT PREP QUANT:- abcd is a 4 dgt perfect square, such that ab+cd = 100. How many such numbers exist?{For eg.:- if 6337 is a perfect square, then 63 + 37 = 100).(the above example is quoted to make you understand the question. 6337 is not ...
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CAT PREP QUANT:-

abcd is a 4 dgt perfect square, such that ab+cd = 100.  How many such numbers exist?

{For eg.:- if 6337 is a perfect square, then 63 + 37 = 100).

(the above example is quoted to make you understand the question. 6337 is not a perfect square)

Pl post the answers n not Solution

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