Direction TestsPYQ Jan 26Question 4576 of 165
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If west is replaced with north-east then south will be replaced by which of the following direction?

Options

ASouth-west
BNorth-west
CWest
DEast
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Correct Answer

✅ Option b — North-west

All Options:

  • ASouth-west
  • BNorth-west
  • CWest
  • DEast

Detailed Solution & Explanation

Let us analyze the standard directions and their clockwise order: North (0∘)→North-East (45∘)→East (90∘)→South-East (135∘)\text{North } (0^\circ) \rightarrow \text{North-East } (45^\circ) \rightarrow \text{East } (90^\circ) \rightarrow \text{South-East } (135^\circ) →South (180∘)→South-West (225∘)→West (270∘)→North-West (315∘)\rightarrow \text{South } (180^\circ) \rightarrow \text{South-West } (225^\circ) \rightarrow \text{West } (270^\circ) \rightarrow \text{North-West } (315^\circ)
According to the problem, **West** (270∘\displaystyle 270^\circ) is replaced by **North-East** (45∘\displaystyle 45^\circ). Let us find the rotation angle: Rotation=45∘−270∘=−225∘≡+135∘ (clockwise rotation)\text{Rotation} = 45^\circ - 270^\circ = -225^\circ \equiv +135^\circ \text{ (clockwise rotation)} Alternatively, from West to North-East moving clockwise is 135∘\displaystyle 135^\circ (45∘\displaystyle 45^\circ each step of 90∘\displaystyle 90^\circ standard axis: West →\displaystyle \rightarrow North is 90∘\displaystyle 90^\circ, North →\displaystyle \rightarrow North-East is 45∘\displaystyle 45^\circ, total 135∘\displaystyle 135^\circ).
Now we apply the same rotation of 135∘\displaystyle 135^\circ clockwise to **South** (180∘\displaystyle 180^\circ): New direction for South=180∘+135∘=315∘\text{New direction for South} = 180^\circ + 135^\circ = 315^\circ At 315∘\displaystyle 315^\circ, the direction is **North-West**. Hence, **Option B** is the correct answer.

About This Chapter: Direction Tests

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Direction Sense Test

This chapter covers Direction Sense Test and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

More Questions from Direction Tests

A man stands on a point and starts walking towards North then turns left then turns right and then left in which direction he is moving.

Rahim started from point X and walked straight 5\displaystyle 5 km west, then turned left and walked straight 2\displaystyle 2 km, then again turned left and walked straight 7\displaystyle 7 km. In which direction is he from the point X?

Manu wants to go to the market. He starts from his house towards North and reaches a crossroad after 30\displaystyle 30m. He turns towards East, goes 10\displaystyle 10m till the second crossing and turns again, moves towards South straight for 30\displaystyle 30m where marketing complex exits. In which direction is the market from his house?

A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?

Rajni walked 20 m towards the North. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many meters is she from the starting position?

At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that now West pointer is showing South. Harish went in the wrong direction thinking that he was travelling East. In which direction he was actually travelling?

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