Direction TestMTP Sep 24 Series IQuestion 2284 of 165
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There are four towns P, Q, R and T. Q is to the South-west of P, R is to the east of Q and South-east of P and T is to the North of R in line with Q. P. In which direction of P is T located?

Options

AEast
BSouth-east
CNorth
DNorth-east
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Correct Answer

✅ Option d — North-east

All Options:

  • AEast
  • BSouth-east
  • CNorth
  • DNorth-east

Detailed Solution & Explanation

Let P=(0,0)\displaystyle P = (0, 0).
1. Q is South-West of P →Q=(−k,−k)\displaystyle \rightarrow Q = (-k, -k) for k>0\displaystyle k > 0.
2. R is East of Q and South-East of P →R=(k,−k)\displaystyle \rightarrow R = (k, -k) (same y as Q).
3. T is North of R and in line with QP (y=x\displaystyle y = x) →T=(k,k)\displaystyle \rightarrow T = (k, k) since xT=xR=k\displaystyle x_T = x_R = k.
Relative to P, T is at (k,k)\displaystyle (k, k) which is North-East.
Hence, **Option D** is the correct answer.

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