# Practice Questions on Critical PathLogical Reasoning

Common Information

A retail major has a warehouse (W) located at (16, 10) in a town having roads laid on a square grid parallel to the x and y axes. There are five retail supermarkets (M, N, O, P and Q) located respectively at (4, 4), (6, 16), (16, 24), (20, 16) and (26, 4).

## Section-1: Critical Path Question - 11

 Q11. Common Information Question: 1/3 What is the ordering of the supermarkets from the nearest to the farthest from the warehouse?
 A. P, M, N and Q, O B. P, N and Q, O, M C. P, O, N and Q, M D. P, O, M, N and Q

## Section-1: Critical Path Question - 12

 Q12. Common Information Question: 2/3 Suppose each square block in the grid has sides of length 2 km. The minimum length of a round trip starting from M and moving through N, O, P, Q and returning to M will be:
 A. 84 km B. 80 km C. 42 km D. None of these

## Section-1: Critical Path Question - 13

 Q13. Common Information Question: 3/3 Five trucks are used, one each to travel from the warehouse to the supermarkets M, N, O, P and Q. Suppose their average speeds are respectively 54, 50, 42, 25 and 40 km/hr. Assume that the trucks are identical and their drivers have identical driving skills and styles. If five trucks start simultaneously from the warehouse, which truck will reach its destination the earliest?
 A. W to M B. W to O C. W to P D. W to N

Common Information

The flow of energy from Generator (G) to Motor (M) in a power distribution network is as shown. Points P, Q, R and S are capacitor banks (denoted by CB) in the network. The arrows mark the direction of the energy flow. The energy loss (in Rs. ’00) in the power lines during the flow is indicated by the numbers adjacent to the arrows.

An energy analyst has to make sure that when the energy flows from G to M, it flows through a path where the total energy loss (in Rs. ’00) is minimal. There is an additional energy loss (in Rs. ’00) at the capacitor banks. This loss can be regulated. For example, if the energy analyst selects a path G – P – M (using CB P) then the total energy loss would be Rs. 1,000 + Rs. 600 + the regulated energy loss at the CB P.

## Section-1: Critical Path Question - 14

 Q14. Common Information Question: 1/4 If the energy analyst wants to ensure that the energy loss from G to M across all the paths is same, then a feasible set of regulated energy losses (in Rs. ’00) at the capacitor banks P, Q, R and S respectively to achieve this goal is:
 A. 4, 0, 2, 1 B. 1, 4, 0, 2 C. 0, 5, 1, 3 D. 0, 4, 2, 1 E. None of these

## Section-1: Critical Path Question - 15

 Q15. Common Information Question: 2/4 Suppose the power line between Q and R is being repaired and hence energy cannot flow between Q and R. If the energy analyst wants to ensure that the energy loss from G to M across all paths is still the same, then a feasible set of regulated energy losses (in Rs. ’00) at the capacitor banks P, Q, R and S respectively to achieve this goal is:
 A. 4, 4, 2, 3 B. 3, 4, 2, 4 C. 1, 4, 2, 0 D. 1, 4, 2, 1 E. None of these
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