CAT Exam

A 4-digit number 'abcd' satisfies the property.'abcd'=ab^2+ cd^2. Find abcd.

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CAT Other Question

Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5 th of A's share, Rs. 20 more than 2/7 th of B's share and Rs. 10 more than 9/17 th of C's may all be equal. What is A's share ? If the sum of three distinct natural numbers is 25. What is the maximum value of their product?