KVPY
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Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x ?
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Let a, b, c, d be real numbers such that |a - b| = 2, |b - c| = 3, |c -d| = 4. Then the sum of all possible values of |a - d| is
Let ABC be a triangle with Angle B = 90. Let AD be the bisector of Angle A with D on BC. Suppose AC = 6 cm and the area of the triangle ADC is 10 cm2. Then the length of BD in cm is equal to