Direction TestsPYQ May 25Question 4045 of 165
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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?

Options

ASouth
BSouth-West
CSouth-East
DEast
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Correct Answer

✅ Option c — South-East

All Options:

  • ASouth
  • BSouth-West
  • CSouth-East
  • DEast

Detailed Solution & Explanation

Let the cardinal directions be represented on a circular compass where North is 90∘\displaystyle 90^\circ, East is 0∘\displaystyle 0^\circ (or 360∘\displaystyle 360^\circ), South is 270∘\displaystyle 270^\circ, and West is 180∘\displaystyle 180^\circ.
Let anticlockwise (ACW) turns be positive (+\displaystyle +) and clockwise (CW) turns be negative (−\displaystyle -).
The initial direction is North-West (NW), which corresponds to the angle:
θ0=135∘\theta_0 = 135^\circ

Now, apply the series of turns:
1. A turn of 90∘\displaystyle 90^\circ clockwise:
θ1=135∘−90∘=45∘(North-East, NE)\theta_1 = 135^\circ - 90^\circ = 45^\circ \quad (\text{North-East, NE})
2. A turn of 180∘\displaystyle 180^\circ anticlockwise:
θ2=45∘+180∘=225∘(South-West, SW)\theta_2 = 45^\circ + 180^\circ = 225^\circ \quad (\text{South-West, SW})
3. Another turn of 90∘\displaystyle 90^\circ in the same direction (anticlockwise):
θ3=225∘+90∘=315∘(South-East, SE)\theta_3 = 225^\circ + 90^\circ = 315^\circ \quad (\text{South-East, SE})

Alternatively, we can compute the net turn:
Net Turn=270∘ (ACW)−90∘ (CW)=180∘ (ACW)\text{Net Turn} = 270^\circ \text{ (ACW)} - 90^\circ \text{ (CW)} = 180^\circ \text{ (ACW)}
A turn of 180∘\displaystyle 180^\circ from North-West points directly to the opposite direction, which is South-East.
Hence, **Option C** 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?

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?

Two cars start from the opposite places on a highway, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the meantime, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?

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