Direction: Based on the following figures and the given table shows which the number of squares formed by the number of dots.   ? and so on.
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A) 64
B) 49
C) 36
D) 25
Correct Answer: C
Solution :
If the number of squares is \[\text{1}=\text{ 1 }\times \text{ 1}\] the number of dots required\[~=\text{2}\times \text{2}=\text{4}.\] If the number of squares is \[\text{4 }=\text{ 2 }\times \text{ 2}\] the number of dots required \[\text{= 3 }\!\!\times\!\!\text{ 3 = 9}\]. If the number of squares is \[\text{9 }=\text{ 3 }\times \text{ 3}\] The number of dots required \[=\text{4 }\times \text{ 4}=\text{16}\] If the number of squares is 16 the number of dots required \[=\text{ 5 }\times \text{ 5 }=\text{ 25}\]. So, to form 25 squares \[=\text{5}\times \text{5},\] the number of dots required \[=\text{ 6 }\times \text{ 6 }=\text{ 36}\].
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