Different letters represent different digits
Suggest the sum: ABC + DEF + GHI = JJJ. If different letters represent different digits, and there are no leading zeros, what does J represent ?
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The Suji Corporation has a monopoly in a particular chemical market. The industry demand curve is P = 1,000 - 5Q. Marginal cost is 3Q. What is Suji's profit-maximizing output and price? Calculate the corresponding profits.
Prove that if p is a prime such that p = 1 mod 3, r is the primitive root modulo p, and a = r^(p-1)/3, then 1, a, a^2 give solutions to x^3= 1 mod p which are distinct modulo p.
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An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E and F). The tribe has a taboo against using the same letter twice in the same word.
Let A be the matrix of numbers. Describe that the minimum number of lines that cover A equals the maximum number of independent non-zero entries of A.
Square ABCD is comprised of one inner square (white) and four colored congruent rectangles. If each and every colored rectangle has a perimeter of 20 units, what is the area of square ABCD?
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Anakin is in fourth grade and has six different classes. His mother told him that she will take him to the pod races if he gets atleast 3 A's on his next report card.
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