CAT Exam

How many perfect squares are there in between 5000 and 8000.
(Ex. 4 is the perfect sq of 2)

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CAT Other Question

How many distinct rectangles having integral sides and a perimeter less than equal to 150 cm are possible a tangent PR touch a circle at point p and from point p a diameter pq=8 cm and qr cut the cirle at a pont on circle m .what is ratio of triangle perimeter pmr to pqr.