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1. How far and in which direction is Point E from Point C?
Directions (Q 36–40): Point A is 6 m West of Point B. Point C is 8 m South of B. Point D is 9 m East of C. Point E is 12 m South of D. Point F is 15 m West of E. Point G is 12 m North of F.
Correct Answer: D [15 m, South-East]
Explanation:
C (0, −8), E (9, −20): E − C = (9, −12) → 15 m, South-East.
2.
(Use the directions above – Direction & Distance, Q 36–40)
Which point(s) lie exactly South of Point A?
Which point(s) lie exactly South of Point A?
Correct Answer: C [Both G and F]
Explanation:
A (−6, 0); G (−6, −8) and F (−6, −20) have the same x and lower y.
3.
(Use the directions above – Direction & Distance, Q 36–40)
What is the shortest distance between Point B and Point G?
What is the shortest distance between Point B and Point G?
Correct Answer: A [10 m]
Explanation:
G − B = (−6, −8) → 10 m.
4.
(Use the directions above – Direction & Distance, Q 36–40)
A man walks from A to G, then from G to F and then from F to E along straight lines. What total distance does he walk?
A man walks from A to G, then from G to F and then from F to E along straight lines. What total distance does he walk?
Correct Answer: B [35 m]
Explanation:
A→G 8 m + G→F 12 m + F→E 15 m = 35 m.
5.
(Use the directions above – Direction & Distance, Q 36–40)
Which three points lie on one North–South straight line?
Which three points lie on one North–South straight line?
Correct Answer: C [A, G and F]
Explanation:
Same x-value (−6) for A, G and F; B and C share x = 0 but E does not.
6. How far and in which direction is K from N?
Directions (Q 41–45): P # Q (n) means P is n m North of Q; P $ Q (n) means P is n m East of Q; P @ Q (n) means P is n m South of Q; P % Q (n) means P is n m West of Q.
Given: L $ M (8), K # L (6), N @ M (9), O % N (12), R # O (14).
Correct Answer: E [17 m, North-East]
Explanation:
N (0, −9), K (8, 6): K − N = (8, 15) → 17 m, North-East.
7.
(Use the directions above – Direction & Distance, Q 41–45)
Which point is nearest to M?
Which point is nearest to M?
Correct Answer: D [L]
Explanation:
Distances from M: L 8, N 9, K 10, R 13, O 15 m.
8.
(Use the directions above – Direction & Distance, Q 41–45)
In which direction is R from O?
In which direction is R from O?
Correct Answer: A [North]
Explanation:
R # O (14): R is 14 m North of O.
9.
(Use the directions above – Direction & Distance, Q 41–45)
If S % K (8) is also true, where is S with respect to M?
If S % K (8) is also true, where is S with respect to M?
Correct Answer: E [6 m North of M]
Explanation:
K (8, 6); 8 m West of K → S (0, 6), i.e.
10.
(Use the directions above – Direction & Distance, Q 41–45)
Which pair of points is exactly 13 m apart?
Which pair of points is exactly 13 m apart?
Correct Answer: D [R and M]
Explanation:
R (−12, 5) to M: 5-12-13 → 13 m.
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