IBPS SO Prelims Exam Model Paper 7

Quantity A - Let the volume of tank = LCM of (15, 20, 12) = 60 units. A's capacity = $\frac{60}{15}$ = 4 units. B's capacity = $\frac{60}{20}$ = 3 units. Hole's emptying capacity = $\frac{60}{12}$ = 5 units. Time taken to fill ($\frac{3}{4}$)th tank = $\frac{45}{4+3}$ = 6.42 units Time taken for remaining ($\frac{1}{4}$)th tank = $\frac{15}{4+3-5}$ = 7.5 units Total time = 6.42 + 7.5 = 13.92 hours Quantity B - 14 hours. Hence, Quantity A < Quantity B