Question

Twenty-five dots are arranged in a square formation in 5 rows of 5, as shown in
the sketch. Can you connect 12 of these dots with straight lines to form a perfect
cross which has five dots inside it and 8 dots outside?

Answer 1

Given :- Twenty-five dots are arranged in a square formation in 5 rows of 5, as shown in the sketch. Can you connect 12 of these dots with straight lines to form a perfect cross which has five dots inside it and 8 dots outside ?

Answer :-

Let us assume that, 25 dots arranged in a square formation in 5 rows of 5 marked as 1 to 25 .

Now, 12 connected dots are :-

• 2, 8, 14 , 20 = 4
• 6 , 12, 18, 24 = 4
• 10, 14, 18, 22 = as 14 and 18 already count = 2
• 4, 8, 12, 16 = as 8 and 12 already count = 2
• Total connected dots = 4 + 4 + 2 + 2 = 12 .

we can see that, these dots forme perfect cross .

also,

• Dots inside are = 7, 9, 13, 17 and 19 = Total 5 .

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