See the arrangement of 12 match sticks as shown in the diagram. Is it true that by moving only four matchsticks we can end up with exactly ten squares?

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True

False

answer is A.

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Detailed Solution

The given arrangement of 12 matchsticks is as shown.
Question Image

It is required to move four matchsticks to end up with 10 squares exactly. To solve this, first move the two matchsticks at the left top end and place it inside the top right square in a cross position as shown.
Question Image

Now, moving two matchsticks from the right bottom side and placing them inside the left square in same way.
Question Image

It can be observed that there are total of 10 squares, which consist of 8 small squares and 2 big squares.
The required arrangement is
Question Image

Hence, it is true that by moving only four matchsticks we can end up with exactly ten squares.
Correct option is 1.

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Best Online Course for NEET

Best Online Course for CBSE