Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.

Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.

Option 4 : Quantity A > Quantity B

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 × (10 / 13) = 20

Time taken by both =1 / (1 / 20 + 1 / 26) = 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 = 80 / 10.5 = 7.61 days

Hence, Quantity A > Quantity B