TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: in triangle pqr , the angle q = 90 degree , pq = 3 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz 
Options: a ) 3.6 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm

SOLUTION: b

PROBLEM: Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? 
Options: a ) 9.18 , b ) 9.25 , c ) 9.5 , d ) 8.98 , e ) 8.88

SOLUTION: a

PROBLEM: Problem: the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? 
Options: a ) 12 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these

SOLUTION:
c