Directions: Study the given information carefully and answer the question that follows.

Maya starts moving from point A towards the west for 11m to reach point B. Then, she turns right and walks for 4m to reach point C. Then she again turns right and walks for 14m to reach point D and then finally she turns towards south and walks for 6m to reach point E.

Neil starts walking towards north for 2m from point A to reach point F. Then, he takes a right turn and a left turn, walking for 6m and 9m to reach points G and H respectively. Then, he takes a left turn and walks for 5m to reach point I.

Four of the following five pairs are alike in a certain way and thus form a group. Which of the following does not belong to that group?

The correct answer is CE.

Step-by-step explanation:

1. Determine the coordinates of the points for Maya's path:
Let point A be at origin $(0,0)$.
• Point A: $(0,0)$
• Point B: Maya moves 11 m West from point A ⇒ $(-11,0)$
• Point C: She turns right (North) and walks 4 m ⇒ $(-11,4)$
• Point D: She turns right (East) and walks 14 m ⇒ $(-11+14,4)=(3,4)$
• Point E: She turns South and walks 6 m ⇒ $(3,4-6)=(3,-2)$

2. Determine the coordinates of the points for Neil's path:
Neil starts walking from point A $(0,0)$.
• Point F: Neil walks 2 m North from point A ⇒ $(0,2)$
• Point G: He turns right (East) and walks 6 m ⇒ $(6,2)$
• Point H: He turns left (North) and walks 9 m ⇒ $(6,2+9)=(6,11)$
• Point I: He turns left (West) and walks 5 m ⇒ $(6-5,11)=(1,11)$

3. Analyze the relative direction of the second point from the first point in each pair:
• FH: Point F is at $(0,2)$ and Point H is at $(6,11)$. Point H is to the East and North of F ⇒ North-East.
• AD: Point A is at $(0,0)$ and Point D is at $(3,4)$. Point D is to the East and North of A ⇒ North-East.
• CE: Point C is at $(-11,4)$ and Point E is at $(3,-2)$. Point E is to the East and South of C ⇒ South-East.
• BF: Point B is at $(-11,0)$ and Point F is at $(0,2)$. Point F is to the East and North of B ⇒ North-East.
• EG: Point E is at $(3,-2)$ and Point G is at $(6,2)$. Point G is to the East and North of E ⇒ North-East.

In four out of the five pairs (FH, AD, BF, EG), the second point is in the North-East direction relative to the first point. However, in pair CE, point E lies in the South-East direction relative to point C. Therefore, CE does not belong to the group.