Seven villages A, B, C, D, E, F and G are situated as follows:
E is 2 km to the west of B.
F is 2 km to the north of A.
C is 1 km to the west of A.
D is 2 km to the south of G.
G is 2 km to the east of C.
D is exactly in the middle of B and E.
Refer the above for the Questions 1 to 4
1. How far is E from D (in km)?
SHOW ANSWER
Correct Ans:1 km
Explanation:
Clearly, E is at 1 km from D.
2. Which two villages are west of G?
SHOW ANSWER
Correct Ans:C and A
Explanation:
A and C are the two villages at the west of G
SHOW ANSWER
Correct Ans:C and G
Explanation:
A is in the middle of "C and G"
4. How far is E from F (in km) as the crow flies?
SHOW ANSWER
Correct Ans:4 km
Explanation:
The distance of E from F is "4 km"
P is 9 m to the south of K. K is 5 m to the east of H. H is 4 m to the north of B. L is 3 m west of B. D is 7 m south of L. G is 8 m east of D.
Refer the above for the Questions 5 to 6
5. How far and in which direction is point K from Point G?
SHOW ANSWER
Correct Ans:11 m to the north
Explanation:
Point K is (4 + 7) = 11 m from Point G and also
Point K is at the North of Point G.
6. If point Z is 5 m to the west of point P, then what is the distance between B and Z?
SHOW ANSWER
Correct Ans:5 m
Explanation:
Given, the distance between K and P = 9 m
and the distance between H and B = 4 m
Thus the distance between B and Z = distance between (KP - HB)
= (9 - 4)
= 5 m
Bala walked 25 km towards west, took a left turn and walked 15 km. He again took a left turn and walked 30 km. He then took a right turn and stopped.
Refer the above for the Questions 7 to 8
7. Instead of turning right at the end if he took left and walked 20km, what is the shortest distance to his starting point?
SHOW ANSWER
Correct Ans:5 sqrt(2) km
Explanation:
According to Pythagoras theorem,
Shortest distance to his starting point = sqrt (5^2 + 5^2)
= sqrt (25 + 25)
= sqrt (50)
= 5 sqrt(2) km
Therefore, Shortest distance to his starting point = 5 sqrt(2) km
8. Now he was facing which direction ?
SHOW ANSWER
Correct Ans:South
Explanation:
Now he was facing SOUTH direction
Directions:
There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2 km to the east of E, which is 6 km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
Refer the above for the Questions 9 to 13
9. What is the shortest distance between between B and E?
SHOW ANSWER
Correct Ans:2 sqrt(5) km
Explanation:
According to Pythagoras theorem,
Shortest distance between B and E = sqrt (BD^2 + DE^2)
= sqrt (4^2 + 2^2)
= sqrt (16 + 4)
= sqrt (20)
= 2 sqrt(5) km
Therefore, Shortest distance between B and E = 2 sqrt(5) km
10. What is the shortest distance between B and A?
SHOW ANSWER
Correct Ans:4 sqrt(2) km
Explanation:
According to Pythagoras theorem,
Shortest distance between B and A = sqrt (BD^2 + DA^2)
= sqrt (4^2 + 4^2)
= sqrt (16 + 16)
= sqrt (32)
= 4 sqrt(2) km
Therefore, Shortest distance between B and A = 4 sqrt(2) km
11. What is the direction of point C with respect to point A?
SHOW ANSWER
Correct Ans:South - east
Explanation:
Point C is in the direction of South - east with respect to point A.
12. What is the distance AF?
SHOW ANSWER
Correct Ans:sqrt (149) m
Explanation:
According to Pythagoras theorem,
Distance between A and F = sqrt (10^2 + 7^2)
= sqrt (100 + 49)
= sqrt (149) m
Therefore, Distance between A and F = sqrt (149) m
13. E is in which direction with respect to B?
SHOW ANSWER
Correct Ans:North west
Explanation:
E is in North - west direction with respect to B
A, B, C, D and E are five friends standing in a park. The distance between A and C and that of B and C are same. E and C are 45m apart in west east direction. A is towards west of C at a distance of 25 m from E. C is in between B and D and in north direction with respect to B.
Refer the above for the Questions 14 to 16
14. If the distance between B and D is 35 m, then calculate the distance between A and D.
SHOW ANSWER
Correct Ans:25 m
Explanation:
According to Pythagoras theorem,
Distance between A and D = sqrt (AC^2 + CD^2)
= sqrt (20^2 + 15^2)
= sqrt (400 + 225)
= sqrt (625)
= 25 m
Therefore, Distance between A and D = 25 m
15. What is the distance between A and B?
SHOW ANSWER
Correct Ans:28.28 m
Explanation:
According to Pythagoras theorem,
Distance between A and B = sqrt (AC^2 + CB^2)
= sqrt (20^2 + 20^2)
= sqrt (400 + 400)
= sqrt (800)
= 28.28 m
Therefore, Distance between A and B = 28.28 m
16. In which direction is C with respect to A ?
SHOW ANSWER
Correct Ans:North - west
Explanation:
Therefore, C is towards the North - West of A.
Directions:
There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2 km to the east of E, which is 6 km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
Refer the above for the Questions 17 to 21
17. In which direction is A with respect to B ?
SHOW ANSWER
Correct Ans:South - east
Explanation:
Therefore, A is towards the South - East of B.
18. What is the distance between shop D and shop A ?
SHOW ANSWER
Correct Ans:4 km
Explanation:
Hence, distance between shop D and shop A = 4 km
19. What is E position with respect to F?
SHOW ANSWER
Correct Ans:North
Explanation:
Point E is 10 m towards the North of Point F.
20. Which of the following points are in a straight line ?
SHOW ANSWER
Correct Ans:AEB
Explanation:
The points in a straight line are BEA and EDF.
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