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Question

If,
A ^ B means A is to the East of B,
A & B means A is to the North of B,
A % B means A is to the West of B,
A ! B means A is to the South of B,
then which of the following expressions correctly shows that A is to the North-East of D ?

The correct answer is
A & B ^ D

To determine which of the given expressions means that A is to the North-East of D, we need to understand the logical operators given:

  1. A ^ B means A is to the East of B.
  2. A & B means A is to the North of B.
  3. A % B means A is to the West of B.
  4. A ! B means A is to the South of B.

To say that A is to the North-East of D, A must be both to the North and East of D. We need to find an expression combining "&" (North) and "^" (East) with respect to A and D. Let's analyze each option:

  1. A ^ B & D:
    • This can be interpreted as: A is to the East of B,
    • and B is to the North of D.
    • Conclusion: This doesn't involve the relationship between A and D directly.
  2. D ! B ! A:
    • This can be interpreted as: D is to the South of B, and B is to the South of A.
    • Conclusion: These expressions suggest A is to the North of both B and D, with no hint of an East relation.
  3. A & B % D:
    • This can be interpreted as: A is to the North of B, and B is to the West of D.
    • Conclusion: Again, there is no direct North-East relationship between A and D.
  4. A & B ^ D:
    • This can be interpreted as: A is to the North of B, and B is to the East of D.
    • This equates to A being to both the North and East of D.
    • Conclusion: This expression correctly shows that A is North-East of D.

Based on the above analysis, the expression A & B ^ D correctly shows that A is to the North-East of D.

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  3. Read the information given below and answer the questions that follow by choosing the most appropriate option.

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  5. Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

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