Question 12 Marks
(a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on number 30. Mowgli wants to meet his friend Baloo the bear but wants to avoid Sher Khan’s house. How long (in steps) could each jump be?
(b) What number of jumps (in steps) he could choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?
(b) What number of jumps (in steps) he could choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?
Answer
View full question & answer→(a) Mowgli needs to choose a jump length that is a factor of 30 but NOT a factor of 25. Factors of 25: 1, 5, and 25 Factors of 30: 1, 2, 3, 5, 6, 10, 15, and 30
Numbers that are factors of 30 but not factors of 25: 2, 3, 6, 10, 15, 30.
Possible jump lengths Mowgli could choose: 2, 3, 6, 10, 15, 30.
(b) Mowgli needs to choose a jump length that is a common factor of both 21 and 35.
Factors of 21: (1), 3, (7), and 21
Factors of 35: (1), 5, (7), and 35 Common factors of 21 and 35: 1 and 7.
Possible jump’s length Mowgli could choose: 1 and 7.
Numbers that are factors of 30 but not factors of 25: 2, 3, 6, 10, 15, 30.
Possible jump lengths Mowgli could choose: 2, 3, 6, 10, 15, 30.
(b) Mowgli needs to choose a jump length that is a common factor of both 21 and 35.
Factors of 21: (1), 3, (7), and 21
Factors of 35: (1), 5, (7), and 35 Common factors of 21 and 35: 1 and 7.
Possible jump’s length Mowgli could choose: 1 and 7.
