Direction TestsPYQ May 25Question 4349 of 165
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Some boys are sitting in three rows all facing North such that A is in the middle row. P is just to the right of A but in the same row. Q is just behind of P, while R is in the North of A. In which direction of R is Q?

Options

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

✅ Option d — South-East

All Options:

  • ASouth
  • BSouth-West
  • CNorth-East
  • DSouth-East

Detailed Solution & Explanation

Let\'s set up a grid based on the rows and positions of the boys, where:
- +y\displaystyle +y direction represents North
- −y\displaystyle -y direction represents South
- +x\displaystyle +x direction represents East (Right)
- −x\displaystyle -x direction represents West (Left)
All boys face North.

Let\'s place the boys on the grid:
1. **A is in the middle row**: Let A\'s position be the origin (0,0)\displaystyle (0, 0).
2. **P is just to the right of A in the same row**: Since Right is East, P\'s position is (1,0)\displaystyle (1, 0).
3. **Q is just behind P**: Since P faces North, behind P is South (−y\displaystyle -y direction). So Q\'s position is (1,−1)\displaystyle (1, -1).
4. **R is in the North of A**: R\'s position is in the North direction relative to A, say (0,1)\displaystyle (0, 1) or (0,yR)\displaystyle (0, y_R) with yR>0\displaystyle y_R > 0. Let\'s assume R is at (0,1)\displaystyle (0, 1).

Now, we want to find the direction of Q relative to R (i.e., the direction of the vector from R to Q):
RQ⃗=Q−R=(1,−1)−(0,1)=(1,−2)\vec{RQ} = Q - R = (1, -1) - (0, 1) = (1, -2)Direction=(positive x, negative y)=(East,South)=South-East\text{Direction} = (\text{positive } x, \text{ negative } y) = (\text{East}, \text{South}) = \text{South-East}
Therefore, Q is in the South-East direction relative to R.
Hence, **Option D** 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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