Direction Tests – CA Foundation Logical Reasoning Questions - CA Exams PDF Download

Introduction

The CA Foundation exam is a highly competitive and prestigious exam for aspiring chartered accountants. The logical reasoning section of the exam plays a crucial role in assessing the candidate's analytical and problem-solving skills. One important topic in the logical reasoning section is Direction and Distance. Mastering this topic is essential to score well in the exam. In this article, we will discuss the nuances of direction sense questions and provide shortcut tricks to solve them within a minute.

Understanding Directions

Before we delve into solving direction sense questions, let's understand the basic directions. There are four main directions – East, West, North, and South. Additionally, there are four cardinal directions – North-East (N-E), North-West (N-W), South-East (S-E), and South-West (S-W). It is important to note that each main direction change undergoes a 90° change in direction. For example, from North to West or East, there is a 90° change. However, the change between North and North-East is only 45°.
To simplify the understanding of directions, let's consider the following diagram:

Key Points to Keep in Mind

While solving direction sense questions, it is important to keep the following points in mind:

• Always mark the starting point and end-point different from the other points.
• Be attentive while taking right and/or left turns.
• Mark distances with a scale if your rough diagrams confuse you.
• Remember that a person facing east, on taking a left turn, will face towards the north, and on taking a right turn, will face towards the south.
• A person facing north, on taking a left turn, will face towards the west, and on taking a right turn, will face towards the east.
• A person facing west, on taking a left turn, will face towards the south, and on taking a right turn, will face towards the north.
• A person facing south, on taking a left turn, will face towards the east, and on taking a right turn, will face towards the west.

It is also important to note that when a question mentions moving towards the left or right side, the movement is assumed to be at an angle of 90 degrees. Additionally, when a person moves to their left side, they move in an anti-clockwise direction, and when they move to their right side, they move in a clockwise direction.

Applying Geometric Rules

Basic geometric rules, such as the Pythagoras Theorem, can be helpful in solving certain direction sense questions. The Pythagoras Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Pythagoras Theorem: AC^2 = AB^2 + BC^2

Example Questions

Now that we have understood the key concepts, let's solve a few example questions to further illustrate the application of direction sense in logical reasoning.

Example 1: Neha walked 2 km west of her house and then turned south, covering 4 km. Finally, she moved 3 km towards the east and then again 1 km west. How far is she from her initial position?
Ans: Neha starts from her house at A, moves 2 km west up to B, then 4 km to the south up to C, 3 km east up to D, and finally 1 km west up to E. Thus, her distance from the initial position A is equal to AE, which is also equal to BC, both measuring 4 km.
Hence, the answer is 4 km.

Example 2: Shweta moved a distance of 75 meters towards the north. She then turned to the left and walked about 25 meters, turned left again, and walked 80 meters. Finally, she turned to the right at an angle of 45°. In which direction was she moving finally?
Ans: Shweta started moving from A, moved 75 m up to B towards the north, turned left and walked 25 m up to C. She then turned left again and moved 80 m up to D. Finally, she turned to the right at an angle of 45° and moved in the direction DE, which is the South-West direction.
Hence, the answer is South-West.

Example 3: Varun faces towards the north. Turning to his right, he walks 25 meters. He then turns to his left and walks 30 meters. Next, he moves 25 meters to his right. He then turns to his right again and walks 55 meters. Finally, he turns to the right and moves 40 meters. In which direction is he now from his starting point?
Ans: Varun faces towards the north. He turns towards his right from the north direction and walks 25 m towards the east up to B, turns left and moves 30 m up to C, turns right and goes 25 m up to D. At D, he turns to the right towards the south and walks 55 m up to E. Next, he again turns to the right and walks 40 m up to F, which is his final position. F is to the south-east of A. So, he is to the south-east from his starting point.
Hence, the answer is South-East.

Example 4: Pankaj is facing west. He turns 45° in the clockwise direction and then another 180° in the same direction. After that, he turns 270° in the anti-clockwise direction. Which direction is he facing now?
Ans: Pankaj is initially facing towards the west, which means he is facing in the direction OA. He turns 45° in the clockwise direction and faces in the direction OB. After that, he moves 180° clockwise and faces in the direction OC. Finally, he turns 270° anti-clockwise and faces in the direction OD, which is South-West.
Hence, the answer is South-West.

Previous Year Exam Questions

Let's take a look at some previous year exam questions to further practice our understanding of direction sense.
Q1: Laxman went 15 km to the north, then he turned west and covered 10 km. Then he turned south and covered 5 km. Finally, turning to the east, he covered 10 km. In which direction is he moving now? [May 2018]
Ans: Laxman is moving towards the east.

Q2: A man is facing east, then he turns left and goes 10 meters, then turns right and goes 5 meters, then goes 5 meters to the south, and from there 5 meters to the west. In which direction is he from his original place? [May 2018]
Ans: He is in the north direction from his original place.

Q3: X walks southwards, then turns right, then left, and then right. In which direction is he moving now? [May 2018]
Ans: Clearly, X is moving in the west direction.

Q4: Mr. Raman starts walking in the morning facing the sun. After some time, he turns to the left. After some time later, he turns to his left again. In what direction is he moving now? [May 2018]
Ans: Now, Mr. Raman is moving towards the west.

Q5: I stand with my right hand extended sideways towards the south. Towards which direction will my back be? [May 2018]
Ans: Clearly, my right hand is extended towards the south side, which means my left hand is towards the north. I face towards the east, so my back will be towards the west direction.

Q6: You go towards the north, then turn right, then right again, and go to the left. In which direction are you now moving? [May 2018]
Ans: Clearly, you are moving in the east direction.

Q7: Six flats on a floor in two rows facing north and south are allotted to P, Q, R, S, T, and U. If Q gets a north-facing flat and is not next to S, S and U get diagonally opposite flats. R, next to U, gets a south-facing flat, and T gets a north-facing flat. Whose flat is between Q and S? [Nov. 2018]
Ans: Clearly, Flat 'T' is lying between Q and S.

Q8: Anoop starts walking towards the south. After walking 15 meters, he turns towards the north. After walking 20 meters, he turns towards the east and walks 10 meters. He then turns towards the south and walks 5 meters. In which direction is he from the original position? [Nov. 2018]
Ans: Now, Anoop is in the east direction with respect to his original position.

Q9: Rahim started from point X and walked straight 5 km east, then turned left and walked straight 2 km, and again turned left and walked straight 7 km. In which direction is he from point X? [June 2019]
Ans: Rahim is in the north-west direction from point X.

Q10: A person is facing north and walks 25 m. He then turns right and walks 20 m. After that, he turns left and walks 25 m, and turns right 25 m. Finally, he turns right and walks 40 m. In which direction is he now from his starting point? [June 2019]
Ans: The person is in the north-east direction from his starting point.

Q11: Madhuri moved a distance of 75 meters towards the north. She then turned to her left and walked about 25 meters, turned left again and walked 80 meters. Finally, she turned to the right at an angle of 45°. In which direction was she moving finally? [June 2019]
Ans: Madhuri was moving in the south-east direction finally.

Q12: A person is facing north and walks 70° in the clockwise direction. Again, he is moving 300° in the clockwise direction. Now, in which direction is he presently facing? [June 2019]
Ans: The person is presently facing the north-east direction.

Frequently Asked Questions (FAQs)

Q1: What is the CA Foundation exam?
Ans: The CA Foundation exam is an entry-level exam for aspiring chartered accountants. It tests the candidates' knowledge and skills in various subjects related to accounting, finance, and business.

Q2: When is the CA Foundation exam 2023?
Ans: The CA Foundation exam for the year 2023 is scheduled to be held in [mention the month and date if available].

Q3: What is the CA Foundation syllabus?
Ans: The CA Foundation syllabus includes four subjects: Principles and Practices of Accounting, Business Laws and Business Correspondence and Reporting, Business Mathematics and Logical Reasoning & Statistics, and Business Economics and Business and Commercial Knowledge.

Q4: Where can I find study material for the CA Foundation exam?
Ans: You can find comprehensive study material for the CA Foundation exam on EduRev. They offer high-quality content, including textbooks, practice questions, and mock tests.

Q5: How should I prepare for the logical reasoning section of the CA Foundation exam?
Ans: To prepare for the logical reasoning section, it is important to practice solving a variety of questions from topics like direction and distance, coding-decoding, blood relations, and seating arrangement. Understanding the concepts and applying shortcut tricks can significantly improve your score in this section.