Logical Reasoning Discussion

**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).

Q. |
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 |

**Solution:**

Option(**D**) is correct

From the table,

Distance from M to N = 14

Distance from N to O = 18

Distance from O to P = 12

Distance from P to Q = 18

Distance from Q to M = 22

∴ Total Distance = (14 + 18 + 12 + 18 + 22) = 84 km

$\because$ Each square block in the grid has sides of length 2 km.

∴ Total Distance $= 84 \times 2 = 168$ km

Hence, **option D** is the correct choice.