Children are playing ‘Fire in the Mountain’. When the number 6 was called out. Class 7
mediumChildren are playing ‘Fire in the Mountain’. When the number 6 was called out. Class 7
Question 1.
Children are playing ‘Fire in the Mountain’. When the number 6 was called out, no one got out. When the number 9 was called out, no one got out. But when the number 10 was called out, some people got out. How many children could have been playing initially? Class 7
(a) 72
(b) 90
(c) 45
(d) 3
(e) 36
(f) None of these
Solution:
Answer could be (e) as it is a common multiple of 6 and 9.
With the same reasoning, the required number can be 72.
In fact, this question is confusing.
Question 2.
Tick the correct statement(s). The LCM of two different prime numbers (m, n) can be : Class 7
(a) Less than both numbers
(b) In between the two numbers
(c) Greater than both numbers
(d) Less than m × n
(e) Greater than m × n
Solution:
(a) ✗
(b) ✗
(c) ✓
(d) ✗
(e) ✗
Question 3.
A dog is chasing a rabbit that has a head start of 150 feet. It jumps 9 feet every time the rabbit jumps 7 feet. In how many leaps does the dog catch up with the rabbit? Class 7
Solution:
150 ÷ (9 - 7) = 75 leaps.