Reasoning: Direction Sense Questions Set 13

Directions (1-5): Read the following information carefully and answer the questions given below it:

Eight persons B, D, F, H, J, L, N and P are standing in a row facing north and all are standing at a distance of 1km, 2km, 3km and so on from their immediate neighbours but not necessarily in the same order. Two persons are at a same distance of 5km from their immediate neighbours. D is 3km left of F and 6km away from L. D is standing immediately between J and N at 5km and 2km respectively. P is 4km left of J. F is second to the left of H. Person on the extreme left is 10km away from J. P starts moving towards the south and after going 3km it takes right turn and going 2km and reached point X. Another person K, which moves more than 3km but less than 8km towards the north of point X (also divisible by 3), going Y km towards east and stops at point C. If Y is the shortest distance of B and P’s last position. F moves 3km towards north direction, and then takes a left turn and goes 5km straight and then it turns again to its right direction and moves another 7km and halts at point Z.

1. How many persons are there in between ‘J’ and ‘H’?
   Two
   Five
   Six
   Four
   None of these
   Option D
   Solution:
   1. D is standing immediately between J and N at 5km and 2km respectively. P is 4km left of J.
   
   2. D is 3km left of F and 6km away from L. F is second to the left of H. Person on the extreme left is 10km away from J.
   
   3. Two persons are at a same distance of 5km from their immediate neighbours.
   
   4. P starts moving towards the south and after going 3km it takes right turn and going 2km and reached point X.
   
   5. Another person K, which moves more than 3km but less than 8km towards the north of point X (also divisible by 3), going Y km towards east and stops at point C. If Y is the shortest distance of B and P’s last position.
   Y = √((4)²+ (3)²) = √(16+9) = 5km
   Hence, K moves 6km in north direction.
   
   6. F moves 3km towards north direction, and then takes a left turn and goes 5km straight and then it turns again to its right direction and moves another 7km and halts at point Z.

   
   Hence, there are four persons between ‘J’ and ‘H’.

    

2. Which person will be met first, if ‘F’ starts moving in the West direction?
   D
   J
   N
   B
   P
   Option C
   Hence, ‘F’ first met ‘N’ when move towards West.

    

3. What is the shortest distance between ‘L’ and dog P’?
   11km
   13km
   18km
   15km
   19km
   Option D
   Hence, the shortest distance between ‘L’ and ‘P’ is 15km.

    

4. What is the shortest distance K and F from their new positions?
   5km
   √67km
   14km
   √65km
   None of these
   Option D
   Hence, shortest distance between ‘K’ and ‘F’ is √(7² + 4² ) = √(49+16) = √65km

    

5. What is the new position of ‘P’ with respect to the ‘B’? 1) 2) 3) 4) East 5) North Ans: 3
   North – West
   South – West
   South – East
   East
   North
   Option C
   Hence, new position of ‘P’ with respect to ‘B’ is south – East.

    

Directions(6-10): Read the following information carefully to answer the questions that follow.
The questions are based on following coding formats:
* – North
& – South
@ – East
# – West
^ – Either 4 or 6 m
% – Either 3 or 10 m
Examples:
A&B means A is South of B,
A*#B means A is North-West of B,
A#^B means A is West of B at a distance of either 4 or 6 m.
Conditions given are as:
I. M*%N
II. M*#O
III. O@N
IV. O#^P
V. Q&%P
VI. R#^Q
VII. S*^R
VIII. S&#O

6. Given X#S, XS = 3m, N*X. Find distance between N and O?
   4m
   5m
   6m
   7m
   Cannot be determined
   Option B
   
   
   X#S means X is of west of S, XS = 3m, N*X means N is of north of X.
   
   Hence NO = 3 + 2 = 5m

    

7. If N*S, then which of the following is true regarding points N and S?
   S*%N
   N*%S
   N&^S
   S&^N
   None of these
   Option D
   If SR = 4m then SN must be 6m and if SR = 6m then SN must be 4m.
   Hence, S&^N means S is south of N at a distance of either 4 or 6 m.

    

8. A man starts walking from point M walks for 5m in ‘@’ direction, reaches point J, turns ‘&’ direction and now walks 7m to reach point S. Given J*S. What is the distance between points O and M and consider question number 1 also.
   √39m
   √34m
   √43m
   4√7m
   4√2m
   Option B
   X#S means X is of west of S, XS = 3m, N*X means N is of north of X.

   
   J*S – J is north of S. and JS = 7 m, which is only possible when MN = 3 m from Q1, NO = 5m So MO = √(3² + 5²) = √34 m

    

9. If distance point S and Q is 6√2m, then find distance between points S and O?
   2√5m
   8√5m
   5√5m
   7√6m
   5√2m
   Option A
   SQ= 6√2 m
   So RS = √(SQ² – RQ²) = √(6√2)² – 6²) = √36 = 6 m
   Assume point A – east of S and south of O
   So SO = √(SA² + OA²)
   SA = RQ – OP = 2 m,
   OA = PQ – RS = 10-6 = 4m,
   now find SO = 2√5 m

    

10. If Y&^P and S#Y, what is the maximum area of the quadrilateral formed by joining points Y, S, R and Q?
    25m2
    28m2
    16m2
    36m2
    None of these
    Option D
    Y&^P – Y is south of P and at a distance of 4 or 6 m.
    S is west of Y and figure formed by joining given points is a rectangle.
    So if PY = 4, YQ = RS = 6, and if PY – 6, then YQ = RS = 4.
    Area will be maximum in 1st case.
    So Area of rectangle YQRS = RQ*PQ = 6*6 = 36 m2