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Directions: Read the information given below and answer the question that follows.
X + Y means X is to the east of Y at a distance of either 5 m or 10 m
X * Y means X is to the west direction of Y at a distance of either 5 m or 10 m
X $ Y means X is to the north direction of Y at a distance of either 8 m or 16 m
X ? Y means X is to the south direction of Y at a distance of either 8 m or 16 m
X ?* Y means X is to the south-west direction of Y
X $+ Y means X is to the north-east direction of Y
X ?+ Y means X is to the south-east direction of Y
X $* Y means X is to the north-west direction of Y
Statement:
M $ N, P ? R, T * U, M $* P, P $ Q, R $+ M, N ?* S, S * R, S ? U, M ? T, O * M, N * Q
Q. What would the area of triangle formed by point P, Q and N?
  • a)
    40 m2
  • b)
    30 m2
  • c)
    22 m2
  • d)
    35 m2
  • e)
    36 m2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Directions: Read the information given below and answer the question ...
Explanation:

To find the area of the triangle formed by points P, Q, and N, we need to know the coordinates of these points. The given information provides us with the directions and distances between different points.

Let's analyze the given statements to determine the coordinates of P, Q, and N.

Statement 1: M $ N
This means that N is to the north direction of M, at a distance of either 8 m or 16 m. However, we don't know the exact distance between M and N.

Statement 2: P ? R
This means that R is to the south direction of P, at a distance of either 8 m or 16 m. However, we don't know the exact distance between P and R.

Statement 3: T * U
This means that U is to the west direction of T, at a distance of either 5 m or 10 m. However, we don't know the exact distance between T and U.

Statement 4: M $* P
This means that P is to the west direction of M, at a distance of either 5 m or 10 m. However, we don't know the exact distance between M and P.

Statement 5: P $ Q
This means that Q is to the west direction of P, at a distance of either 5 m or 10 m. However, we don't know the exact distance between P and Q.

Statement 6: R $ M
This means that M is to the west direction of R, at a distance of either 5 m or 10 m. However, we don't know the exact distance between R and M.

Statement 7: N ?* S
This means that S is to the south direction of N, at a distance of either 8 m or 16 m. However, we don't know the exact distance between N and S.

Statement 8: S * R
This means that R is to the west direction of S, at a distance of either 5 m or 10 m. However, we don't know the exact distance between S and R.

Statement 9: S ? U
This means that U is to the south direction of S, at a distance of either 8 m or 16 m. However, we don't know the exact distance between S and U.

Statement 10: M ? T
This means that T is to the south direction of M, at a distance of either 8 m or 16 m. However, we don't know the exact distance between M and T.

Statement 11: O * M
This means that M is to the west direction of O, at a distance of either 5 m or 10 m. However, we don't know the exact distance between O and M.

Statement 12: N * Q
This means that Q is to the west direction of N, at a distance of either 5 m or 10 m. However, we don't know the exact distance between N and Q.

From the given statements, we cannot determine the exact coordinates of points P, Q, and N. Therefore, we cannot calculate the area of the triangle formed by these points.

Conclusion:
The area of the triangle formed by point P, Q, and N cannot be determined with the given information.
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Community Answer
Directions: Read the information given below and answer the question ...
Given,
X + Y means X is to the east of Y at a distance of either 5 m or 10 m
X * Y means X is to the west direction of Y at a distance of either 5 m or 10 m
X $ Y means X is to the north direction of Y at a distance of either 8 m or 16 m
X ? Y means X is to the south direction of Y at a distance of either 8 m or 16 m
X ?* Y means X is to the south-west direction of Y
X $+ Y means X is to the north-east direction of Y
X ?+ Y means X is to the south-east direction of Y
X $* Y means X is to the north-west direction of Y
According to the given information, we get the following figure,
Area of triangle PQN = 1/2 × base × height = 1/2 × 10 × 8 = 40
So, the area of triangle formed by point P, Q and N is 40m2.
Hence, the correct option is (A).
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