In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right. For example, a person at a given position Y can move only to the positions marked X on the right. Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is
The problem involves moving from position P2 to position P5 on a grid, following a specific movement rule. The rule is to move “two steps in one direction followed by one step in a perpendicular direction”. Shaded squares cannot be occupied at the end of any step.
Let's analyze the possible moves:
- Start at P2. The person can move to R2 or Q4 following the movement rules.
- From R2, move to T1 by going two steps down and one left.
- From T1, move to T3 by going two steps right and one step up.
- From T3, move to R5 by going two steps up and one step right.
- From R5, move to P5 by going two steps up and one step left.
There are 5 steps in total.
Therefore, the minimum number of steps required to go from P2 to P5 is 5.
| Step | Position |
|---|---|
| 1 | P2 to R2 |
| 2 | R2 to T1 |
| 3 | T1 to T3 |
| 4 | T3 to R5 |
| 5 | R5 to P5 |
Hence, the correct answer is Option 2: 5.
Important Questions from Puzzles
In the 4 x 4 array shown below, each cell of the first three rows has either a cross (X) or a number.
1 X 4 3 X 5 5 4 3 X 6 X
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row isStudents applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?Names Student seniority Current room Room preference list Amar 1 P R, S, Q Akbar 2 None R, S Anthony 3 Q P Ajit 4 S Q, P, R The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Note: The figure shown is representative.
- The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
• The line joining P and R is parallel to the line joining Q and S.
• P is placed on the side opposite to the corner T.
• S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information? - Three individuals are named P, Q, and R. Together they have a total of fifteen children of which nine are boys. P has three girls and Q has same number of boys. Q has one more child than P, who has four children. R has four more boys than the number of girls. The number of girls of R is equal to the number of boys of P. How many boys do R and P have?
