Directions (79-81): Answer the questions based on the information given below.
Seven delivery agents P, Q, R, S, T, U, and V are parked at different spots in a logistics hub. S is 14m west of T, who is 10m west of V. R is east of S. The distance between V and S is twice the distance between R and S. U is 16m north of R. P is 12m east of U. P is 10m north of Q.
In which direction is P with respect to V?
Correct Answer :
North
Solution :
The correct option is North.
Step-by-step explanation:
Let us map out the positions of the delivery agents on a directional grid relative to agent S (considering S as the reference starting point):
1. Positions of S, T, and V:
- S is 14m west of T, which means T is 14m east of S.
- T is 10m west of V, which means V is 10m east of T.
- Total distance between S and V = 14m + 10m = 24m to the east of S.
2. Position of R:
- R is east of S.
- The distance between V and S (24m) is twice the distance between R and S.
- Distance between R and S = 24m / 2 = 12m east of S.
3. Position of U:
- U is 16m north of R.
- Therefore, U is 12m east and 16m north of S.
4. Position of P:
- P is 12m east of U.
- Total eastward distance of P from S = 12m + 12m = 24m east.
- Therefore, P is 24m east and 16m north of S.
5. Direction of P with respect to V:
- V is located 24m east of S (at 0m north).
- P is located 24m east of S and 16m north.
- Since both V and P are at the exact same distance east (24m), P is directly to the North of V.
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