# LR - Directions - Previous Year CAT/MBA Questions

You can practice all previous year OMET questions from the topic LR - Directions. This will help you understand the type of questions asked in OMET. It would be best if you clear your concepts before you practice previous year OMET questions.

**Answer the following question based on the information given below.**

On a cricket ground, five players - A, B, C, D and E are standing as described below facing the North

- B is 75 metres to the right of D
- A is 95 metres to the south of B
- C is 45 metres to the west of D
- E is 110 metres to the north of A

**IIFT 2017 LR | LR - Directions**

Who is to the north-east of the player who is to the left of B?

- A.
A

- B.
C

- C.
Either A or C

- D.
None of the above

Answer: Option D

**Explanation** :

The position of the players can be plotted as shown below:

D and C are to the left of B; and E is to their north-east.

Hence, option 4.

Workspace:

**IIFT 2017 LR | LR - Directions**

If a player walks from C, meets D followed by B, then A and finally E, how many metres has the player walked if he has travelled the straight distance all through?

- A.
185

- B.
135

- C.
230

- D.
325

Answer: Option D

**Explanation** :

The position of the players can be plotted as shown below:

Total distance = 45 + 75 + 95 + 95 + 15 = 325 metres.

Hence, option 4.

Workspace:

**IIFT 2015 LRDI | LR - Directions**

Alex walks 1 mile towards East and then he turns towards South and walks further 5 miles. After that he turns East and walks 2 miles further. Finally he turns to his North and walks 9 miles. How far is he from the starting point?

- A.
25 miles

- B.
2 miles

- C.
5 miles

- D.
4 miles

Answer: Option C

**Explanation** :

From the figure, the final position is E and the starting point is D.

Distance DT = Distance DF + Distance FT

= Distance DF + Distance HP

= 1 + 2

= 3 miles.

Distance ET = DistanceEP – Distance TP

= Distance EP – Distance FH

= 9 – 5

= 4 miles

From the figure, the distance between starting point and the end point is

(DE)2 = 32 + 42

= 9 + 16

= 25

DE = 5 miles

Hence, option 3.

Workspace:

**XAT 2015 QA | LR - Directions**

Devanand’s house is 50 km West of Pradeep’s house. On Sunday morning, at 10 a.m., they leave their respective houses.

Under which of the following scenarios, the minimum distance between the two would be 40 km?

**Scenario I:** Devanand walks East at a constant speed of 3 km per hour and Pradeep walks South at a constant speed of 4 km per hour.

**Scenario II:** Devanand walks South at a constant speed of 3 km per hour and Pradeep walks East at a constant speed of 4 km per hour.

**Scenario III:** Devanand walks West at a constant speed of 4 km per hour and Pradeep walks East at a constant speed of 3 km per hour.

- A.
Scenario I only

- B.
Scenario II only

- C.
Scenario III only

- D.
Scenario I and II

- E.
None of the above

Answer: Option A

**Explanation** :

Scenario 1: Devanand walks East at a constant speed of 3 km per hour and Pradeep towards South at a constant speed of 4 km per hour,

Let the two walk for x hours.

Distance travelled by Devanand and Pradeep is 3x km and 4x km respectively.

Thus, we have

∴ (AP)^{2} + (CP)^{2} = (50 – 3*x*)^{2} + (4*x*)^{2} = 402

Solving this, we get *x* = 6

Thus, after 6 hours, the minimum distance between the two would be 40 km.

The distance between the two will increase in other two scenarios.

Hence, option 1.

Workspace:

**IIFT 2013 LRDI | LR - Directions**

There are five houses P, Q, R, S, and T. P is right of Q and T is left of R and right of P. Q is right of S. Which is in the middle?

- A.
P

- B.
Q

- C.
T

- D.
R

Answer: Option A

**Explanation** :

T is to the left of R and to the right of P

__P__ __T__ __R__

P is to the right of Q and Q is to the right of S.

__S__ __Q__ __P__ __T__ __R__

Thus, P is in the middle.

Hence, option 1.

Workspace:

**XAT 2012 QA | LR - Directions**

Shyam, a fertilizer salesman, sells directly to farmers. He visits two villages A and B. Shyam starts from A, and travels 50 meters to the East, then 50 meters North-East at exactly 45° to his earlier direction, and then another 50 meters East to reach village B. If the shortest distance between villages A and B is in the form of $a\sqrt{b+\sqrt{c}}$ meters, find the value of a + b + c.

- A.
52

- B.
54

- C.
58

- D.
59

- E.
None of the above

Answer: Option E

**Explanation** :

Total distance travelled by Shyam is;

$50+50+\frac{50}{\sqrt{2}}$ km towards east, and $\frac{50}{\sqrt{2}}$ km towards north

Hence, smallest distance, say d, between village A and Village B is;

$d=\sqrt{({(100+25\sqrt{2})}^{2}+{\left(25\sqrt{2}\right)}^{2})}$

Hence, ${d}^{2}={(100+25\sqrt{2})}^{2}+{\left(25\sqrt{2}\right)}^{2}={a}^{2}(b+\sqrt{c})$

But, ${(100+25\sqrt{2})}^{2}+{\left(25\sqrt{2}\right)}^{2}=2500(5+2\sqrt{2})$

$=2500(5+\sqrt{8})$

Hence, *a*^{2} = 2500, *b* = 5 and *c* = 8

Hence, *a* + *b* + *c* = 50 + 5 + 8 = 63

Hence, option 5.

Workspace:

**IIFT 2012 LRDI | LR - Directions**

P ≠ Q implies that Q is standing 2 kms to the right of P

P * Q implies that Q is 2 kms to the left of P

P @ Q implies that Q is 2 kms below P

P Q implies that Q is standing 2 kms above P

If F ≠ S B * V, in which direction is F with respect to V?

- A.
North

- B.
South

- C.
East

- D.
West

Answer: Option B

**Explanation** :

F ≠ S $ B * V

F ≠ S implies S is standing 2 kms to the right of F.

S $ B implies B is standing 2 kms above S.

B * V implies V is standing 2 kms to the left of B.

So F is standing to the south of V.

Hence, option 2.

Workspace:

**IIFT 2012 LRDI | LR - Directions**

Immediately after leaving his house, Ratvik turned right and walked for 40 m. Then he turned left and walked for 20 mts. Then he again took a left turn and walked for 30 mts. There he met a friend and turned right to go to the coffee shop 20 mts away. After having coffee, he walked back straight for 40 mts in the direction he had come from. How far is he from his house?

- A.
20 m

- B.
0 m

- C.
10 m

- D.
40 m

Answer: Option C

**Explanation** :

The path that Ritvik followed is as follows:

He is thus 10 m away from his house.

Hence, option 3.

Workspace:

**Read the following information carefully and mark the correct answer to the questions given below**

Sampada Apartment is a housing society formed by a group of professors of a University. It has six flats on a floor in two rows facing North and South which are allotted to Prof. Purohit, Prof. Qureshi, Prof. Rathor, Prof. Sawant, Prof. Tripathy and Prof. Usman. Prof. Qureshi gets a North facing flat and it is not next to Prof. Sawant’s flat. Prof. Sawant and Prof. Usman get their flats which are diagonally opposite to each other. Prof. Rathor gets a south facing flat which is next to Prof. Usman’s flat. Prof. Tripathy’s flat is North facing.

**IIFT 2011 LR | LR - Directions**

Which of the following professors get South facing flats?

- A.
Prof. Qureshi, Prof. Tripathy and Prof. Sawant

- B.
Prof. Usman, Prof. Tripathy and Prof. Purohit

- C.
Prof. Usman, Prof. Rathor and Prof. Purohit

- D.
None of the above

Answer: Option C

**Explanation** :

Consider the following arrangement

___ ___ ___

___ ___ ___

Here, the upper row corresponds to the houses facing south and the lower row corresponds to the houses facing north.

It is given that Prof. Rathor gets a south facing flat next to Prof. Usman. Therefore, Prof. Usman also gets a south facing flat.

It is also given that Prof. Qureshi and Prof. Tripathy have a north facing flat.

Since it is known that Prof. Usman and Prof. Sawant are diagonally opposite each other, Prof. Sawant has to be in a north facing flat and so, Prof. Purohit has to be in a south facing flat.

Thus, Prof. Usman, Prof. Rathor and Prof. Purohit get south facing flats.

Hence, option 3.

Workspace:

**IIFT 2011 LR | LR - Directions**

If the flats of Prof. Tripathy and Prof. Purohit are interchanged, whose flat will be next to that of Prof. Usman?

- A.
Prof. Rathor

- B.
Prof. Tripathy

- C.
Prof. Usman

- D.
None of the above

Answer: Option A

**Explanation** :

Consider the solution to the previous question

A possible arrangement of the flats is:

U R P

Q T S

Therefore, even if the flats of Prof. Purohit and Prof. Tripathy are interchanged, Prof. Rathor will always be next to Prof. Usman.

Hence, option 1.

Workspace:

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