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Let x and y be natural numbers. If x div...

Let x and y be natural numbers. If x divides y, then `x^3` divides `y^3`. True or false.

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NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise (state whether the statements are true (T) or false (F))
  1. For an integer a, a^3 is always greater than a^2. True or false.

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  2. State True or False: If x and y are integers such that x^2 gt y^2, ...

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  3. Let x and y be natural numbers. If x divides y, then x^3 divides y^3. ...

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  4. State True or False: If a^2 =5, then a^3= 25.

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  5. Write true (T) or false (F) for the following statements: 392 is a ...

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  6. The square root of a perfect square containing n digits has .............

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  7. Square root of a number x is denoted by sqrtx .

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  8. A number having 7 at its ones place will have 3 at the units place of ...

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  9. A number having 7 at its ones place will have 3 at the ones place of i...

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  10. The cube of a one digit number cannot be a two digit number.

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  11. Cube of an even number is odd. True or false.

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  12. Cube of an odd number is even.

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  13. Cube of an even number is even.

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  14. Cube of an odd number is odd.

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  15. 999 is a perfect cube.(True/False)

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  16. 363 xx 81 is a perfect cube.(True/False)

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  17. Cube roots of 8 are +2 and -2.(True/False)

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  18. root(3)(8+27)=root3(8)+root3(27) (True/False)

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  19. Cubes of negative integers

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  20. Square of a number is positive, so the cube of that number will also b...

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