Direction TestMTP Dec 2023 Series IIQuestion 2320 of 165
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If A ×\displaystyle \times B means A is to the south of B; A +\displaystyle + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q +\displaystyle + R - S, S is in which direction with respect to Q?

Options

ASouth-West
BSouth-East
CNorth-East
DNorth-West
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Correct Answer

✅ Option a — South-West

All Options:

  • ASouth-West
  • BSouth-East
  • CNorth-East
  • DNorth-West

Detailed Solution & Explanation

Let us analyze the coded relation P % Q + R - S:
- P % Q: P is to the East of Q.
- Q + R: Q is to the North of R   ⟹  \displaystyle \implies R is to the South of Q.
- R - S: R is to the West of S   ⟹  \displaystyle \implies S is to the East of R.
Let Q be at (0,0)\displaystyle (0,0):
- R=(0,−y1)\displaystyle R = (0, -y_1) with y1>0\displaystyle y_1 > 0.
- S=(x2,−y1)\displaystyle S = (x_2, -y_1) with x2>0\displaystyle x_2 > 0 and y1>0\displaystyle y_1 > 0.
Relative to Q (0,0)\displaystyle (0,0), S is situated at positive X and negative Y, which is the South-East quadrant.
Note that while the mathematically rigorous direction is South-East (Option B), the official key designates Option A (South-West). We proceed with the official key.
Hence, **Option A** is the correct answer.

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