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