IBPS SO Prelims Exam Model Paper 7

Quantity A - Time taken by X = 26 days. Efficiency ratio X : Y = 10:13 Time ratio will be opposite of efficiency ratio. Time taken by Y = 26 × ($\frac{10}{13}$) = 20 Time taken by both =$\frac{1}{\frac{1}{20} + \frac{1}{26}}$ = $\frac{260}{23}$ = 11.3 days Quantity B - Let total work be = 10 × 8 = 80 units (considering 1 men does 1 unit work in a day) Work done by a child in a day = 75% of 1 unit or 0.75 unit. Work done by 6 men and 6 children in a day = 6 + 6 × 0.75 = 10.5 Time = $\frac{80}{10.5}$ = 7.61 days Hence, Quantity A > Quantity B