In the two rows below, colours repeat as shown. When will the blue stars meet next? Class 7
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In the two rows below, colours repeat as shown. When will the blue stars meet next? Class 7
Question 1.
In the two rows below, colours repeat as shown. When will the blue stars meet next? Class 7

Solution:
As such the blue stars are meeting at fourth points in each row. However, as per the figure given in the textbook, the blue stars will not meet next.
Question 2.
(a) Is 5 × 7 × 11 × 11 a multiple of 5 × 7 × 7 × 11 × 2? Class 7
(b) Is 5 × 7 × 11 × 11 a factor of 5 × 7 × 7 × 11 × 2?
Solution:
(a) No
(b) No
Question 3.
Find the HCF and LCM of the following (state your answers in the form of prime factorisations): Class 7
(a) 3 × 3 × 5 × 7 × 7 and 12 × 7 × 11
(b) 45 and 36
Solution:
(a) HCF = 3 × 7
LCM = 3 × 3 × 5 × 7 × 7 × 2 × 2 × 11
(b) 45 = 3 × 3 × 5
56 = 2 × 2 × 2 × 7
HCF = 1, LCM = 3 × 3 × 5 × 2 × 2 × 2 × 7