mock test 6

 







Solutions:
Q1: simple application of vitae
Q2: compute discriminant and figure out
Q3: get the factorization (3m-1)(3n-1) = -89
Q8: First prove that AGID are on same line and in this order. Then join IB and apply Angle bisector theorem in triangle ABD.
Q9: Possible combinations: (3,3,2,0) (3,3,1,1) (3,2,2,1)(2,2,2,2) 4!/2! + 4!/2!2! + 4!/2! + 1
Q10: Choose last digit in 3 ways. Now 2 cases. Last digit repeats: 6C1*5C2*5!/2! Last digit doesn't repeat: 6c2*4C1*5!/2!2! Add both to get: 16200



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IOQM 2024 Paper solutions (Done 1-21, 29)

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