(i) (a) House ➝ Fire station ➝ Library ➝ Central Park ➝ Hotel ➝ Fruit shop ➝ School.
(b) House ➝ Fire station ➝ Library ➝ Fruit shop ➝ School.
(c) House ➝ Fire station ➝ Library ➝ School.
(ii) Possible routes between Central park and school and their distances are
(a) School ➝ Fruit shop ➝ Hotel ➝ Central park.
Distance ➝ (150 + 300 + 100)m = 550 m
(b) School ➝ Fruit shop ➝ Library ➝ Central park Distance ➝(150 + 100 + 200)m
= 450 m
(c) School ➝ Library ➝ Central park
Distance = (20 + 200 m)
= 220 m
(d) School ➝ Library ➝ Fire station ➝ House ➝ central park Distance = (20 + 50 + 300 + 150) m
= 520 m
(e) School ➝ Emit shop ➝ Hotel ➝ Bank ➝ House ➝ Central park
Distance ➝ (150 + 300 + 150 + 200 + 150) m
= 950 m
(f) School ➝ fruit shop ➝ Hotel ➝ Bank ➝ House ➝ Fire station ➝ Library ➝ central park
Distance = (150 + 300 + 150 + 200 + 300 + 50 + 200)m = 1350 m
∴ Route (c) is the shortest path (i.e.,) School ➝ Library ➝ Central park
(iii) Shortest distance between school and Bank is calculated as follows Bank ➝ Hotel ➝ Central park ➝ Library ➝ school.
Distance = (150 + 100 + 200 + 20)m
= 470 m
(i) (a) House ➝ Fire station ➝ Library ➝ Central Park ➝ Hotel ➝ Fruit shop ➝ School.
(b) House ➝ Fire station ➝ Library ➝ Fruit shop ➝ School.
(c) House ➝ Fire station ➝ Library ➝ School.
(ii) Possible routes between Central park and school and their distances are
(a) School ➝ Fruit shop ➝ Hotel ➝ Central park.
Distance ➝ (150 + 300 + 100)m = 550 m
(b) School ➝ Fruit shop ➝ Library ➝ Central park Distance ➝(150 + 100 + 200)m
= 450 m
(c) School ➝ Library ➝ Central park
Distance = (20 + 200 m)
= 220 m
(d) School ➝ Library ➝ Fire station ➝ House ➝ central park Distance = (20 + 50 + 300 + 150) m
= 520 m
(e) School ➝ Emit shop ➝ Hotel ➝ Bank ➝ House ➝ Central park
Distance ➝ (150 + 300 + 150 + 200 + 150) m
= 950 m
(f) School ➝ fruit shop ➝ Hotel ➝ Bank ➝ House ➝ Fire station ➝ Library ➝ central park
Distance = (150 + 300 + 150 + 200 + 300 + 50 + 200)m = 1350 m
∴ Route (c) is the shortest path (i.e.,) School ➝ Library ➝ Central park
(iii) Shortest distance between school and Bank is calculated as follows Bank ➝ Hotel ➝ Central park ➝ Library ➝ school.
Distance = (150 + 100 + 200 + 20)m
= 470 m
4
4




v

Complete the given rectangle using the given tetromino shapes.v

v

v

vPossible routes from Mandapam to Vivekandar Memorial are
route 1:
(a) Mandapam ➝ Pullivasal Island ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Distance = 6 Km + 2 Km + 1.5 Km = 9.5 Km
route 2:
(b) Mandapam ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Distance = 7 Km + 1.5 Km = 8.5 Km
8.5 km < 9.5 km
∴ Shortest route : Mandapam ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Challenge Problems
Possible routes from Mandapam to Vivekandar Memorial are
route 1:
(a) Mandapam ➝ Pullivasal Island ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Distance = 6 Km + 2 Km + 1.5 Km = 9.5 Km
route 2:
(b) Mandapam ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Distance = 7 Km + 1.5 Km = 8.5 Km
8.5 km < 9.5 km
∴ Shortest route : Mandapam ➝ Krusadai Island ➝ Vivekanandar Memorial Hall.
Challenge Problems

(more possible ways are there)

(more possible ways are there)

(more possible way are there)

(more possible way are there)
v(i) All possible routes from A to D are :
(a) A ➝ G ➝ F ➝ E ➝ D
(b) A ➝ G ➝ D
(c) A ➝ B ➝ C ➝ D
(d) A ➝ B ➝ D
(ii) Distance between E and C are
(a) Route 1: E ➝ D ➝ C
Distance: 120 m + 200 m = 320 m.
(b) Route 2: E ➝ D ➝ B ➝ C
Distance = 120 + 100 m + 120 m
= 340 m.
∴ Shortest distance is 320 m.
(iii) All possible routes between B and F are :
(a) Route 1: B ➝ A ➝ G ➝ F
Distance = 250 m + 100 m + 150 m = 600 m.
(b) Route 2: 2 ➝ D ➝ E ➝ F
Distance = 100 m + 120 m + 300 m
= 520 m.
(c) Route 3: B ➝ D ➝ G ➝ F
Distance = 100 m + 200 m + 150 m
= 450 m.
(d) Route 4: B ➝ C ➝ D ➝ E ➝ F
Distance = 120 m + 200 m + 120 m + 300 m
= 740 m.
We find that Route 3 is shortest.
ie B ➝ D ➝ G ➝ F is the shortest route.
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(i) All possible routes from A to D are :
(a) A ➝ G ➝ F ➝ E ➝ D
(b) A ➝ G ➝ D
(c) A ➝ B ➝ C ➝ D
(d) A ➝ B ➝ D
(ii) Distance between E and C are
(a) Route 1: E ➝ D ➝ C
Distance: 120 m + 200 m = 320 m.
(b) Route 2: E ➝ D ➝ B ➝ C
Distance = 120 + 100 m + 120 m
= 340 m.
∴ Shortest distance is 320 m.
(iii) All possible routes between B and F are :
(a) Route 1: B ➝ A ➝ G ➝ F
Distance = 250 m + 100 m + 150 m = 600 m.
(b) Route 2: 2 ➝ D ➝ E ➝ F
Distance = 100 m + 120 m + 300 m
= 520 m.
(c) Route 3: B ➝ D ➝ G ➝ F
Distance = 100 m + 200 m + 150 m
= 450 m.
(d) Route 4: B ➝ C ➝ D ➝ E ➝ F
Distance = 120 m + 200 m + 120 m + 300 m
= 740 m.
We find that Route 3 is shortest.
ie B ➝ D ➝ G ➝ F is the shortest route.
About Us
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Disclaimer
Contact Us
Facebook
Twitter
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LinkedIn
Copyright © 2026 Samacheer Kalvi Guru