**Question:**The figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park (P) is situated inside the town with a diagonal road running through it. There is also a prohibited region (D) in the town.

Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is

- 60
- 75
- 45
- 90
- 72

**Correct Option:4**

The shortest route from A to B is via the diagonal OQ in the square P. One can travel from A to O in 4!/2!×2! ways. The shortest way from O to Q is through the diagonal only.From Q to B can be travelled in 6!/4!×2! ways.

The total number of ways is, therefore, (4!/2!×2!) × (6!/4!×2!) = 6×15 = 90

CAT 2019 Online Course

## CAT Quant Questions with Video Solutions

- CAT Quant Questions Set 01
- CAT Quant Questions Set 02
- CAT Quant Questions Set 03
- CAT Quant Questions Set 04
- CAT Quant Questions Set 05
- CAT Quant Questions Set 06