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Given below are two pairs of statements. Combine these two statements using if and only if.(i)         p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

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(i) a rectangle is a square if and only if all its four sides are equal.
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If the perimeter of a rectangle and a square each is equal to 80 cm and the difference of their areas is 100 sq. cm, the sides of the rectangle are:

If two squares of side 30 cm, each are joined to form a rectangle,what is the area of the rectangle?

Square a square is a rectangle with a pair of adjacent side equal.

A rectangle has the area equal to that of a square of side 80cm .If the breadth of the rectangle is 20cm, find its length.

NCERT-MATHEMATICAL REASONING-SOLVED EXAMPLES
  1. Identify the type of Or used in the following statements and cheek wh...

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  2. Write the contra positive of the following statement:(i)         If a ...

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  3. Write the negation of the following statements.(i) Both the diagonals...

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  4. Write the negation of the following statements and check whether the ...

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  5. Check whether the following sentences are statements. Give reasons fo...

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  6. Write the component statements of the following compound statements a...

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  7. For each of the following statements, determine whether an inclusive ...

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  8. Find the component statements of the following compound statements. (...

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  9. 5 Find the component statements of the following and check whether the...

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  10. Verify by the method of contradiction. p:sqrt(7)is irrational.

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  11. Check whether the following statement is true of false by proving its...

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  12. Cheek whether Or used in the following compound statement is exclusiv...

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  13. By giving a counter example, show that the following statement is fal...

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  14. For each of the following compound statements, first identify the cor...

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  15. Write the converse of the following statements.(i) If a number n is e...

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  16. Check whether the following statement is true or not. If x, y in Zar...

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  17. Given below are two pairs of statements. Combine these two statements...

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  18. For the given statements identify the necessary and sufficient condit...

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  19. Using the words necessary and sufficient rewrite the statement The in...

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  20. Write the negation of the following statements:(i) p: For every real ...

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