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For an integer a, a^3 is always greater...

For an integer a, `a^3` is always greater than `a^2`. True or false.

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For each of the following statements , write (T) for true and (F) for false : (i) The smallest integer is zero . (ii) Zero is not an integer . (iii) The opposite of zero is zero . (iv) -10 is greater than -6 . (v) The absolute value of an integer is always greater than the integer. (vi) 0 is larger than every negative integer. (vii) Every negative integer is less than every natural number. (viii) The successor of -187 " is " - 188 . (ix) The predeccessor of -215 " is " -214 .

NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise (state whether the statements are true (T) or false (F))
  1. For every natural number m, (2m -1, 2m^2-2m, 2m^2–2m + 1) is a pythago...

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  2. All numbers of a pythagorean triplet are odd. True or false.

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  3. For an integer a, a^3 is always greater than a^2. True or false.

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

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

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

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

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

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

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

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

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

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

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  14. Cube of an odd number is even.

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  15. Cube of an even number is even.

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  16. Cube of an odd number is odd.

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  17. 999 is a perfect cube.(True/False)

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  18. 363 xx 81 is a perfect cube.(True/False)

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

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

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