Latest IIT-JEE Aptitude Question SOLUTION: The number of A in Tp such that A is either symmetric or skew–symmetric or both, and det(A) divisible by p is

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Previous Question: Let ABC be a triangle such that ∠ACB =pie/6 and let a, b and c denote the lengths of the sides opposite to A, B and C respectively. The value(s) of x for which a = x^2 + x + 1, b = x^2 – 1 and c = 2x + 1 is (are) Next Question: The number of A in Tp such that the trace of A is not divisible by p but det (A) is divisible by p is [Note: The trace of a matrix is the sum of its diagonal entries.]

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The number of A in Tp such that A is either symmetric or skew–symmetric or both, and det(A) divisible by
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Previous Question: Let ABC be a triangle such that ∠ACB =pie/6 and let a, b and c denote the lengths of the sides opposite to A, B and C respectively. The value(s) of x for which a = x^2 + x + 1, b = x^2 – 1 and c = 2x + 1 is (are) Next Question: The number of A in Tp such that the trace of A is not divisible by p but det (A) is divisible by p is [Note: The trace of a matrix is the sum of its diagonal entries.]

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