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If p = x^(1//3) + x^(-1//3), then p^3 - ...

If `p = x^(1//3) + x^(-1//3),` then `p^3 - 3p` is equal to :

A

3

B

`1/2 (x + x^(-1))`

C

`x + x^(-1)`

D

`2(x + x^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
  1. If 3^n = 27 then 3^(n - 2) is:

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  2. If a = b^x , b = c^y, c = a^z, then xyz is :

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  3. If p = x^(1//3) + x^(-1//3), then p^3 - 3p is equal to :

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  4. The sum of squares of first ten natural numbers is :

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  5. If a language of natural numbers has binary vocabulary of 0 and 1, the...

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  6. The least number which must be substracted from 6708 to make it exactl...

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  7. Which one of the following statements is not correct ?

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  8. The value of (10 sqrt(6.25))/(sqrt(6.25) - 0.5) is:

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  9. The fundamental arithmetical operations on 2 recurring decimals can be...

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  10. Find the largest number that will divide 398, 436 and 542 leaving r...

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  11. Which one of the following statements is correct?

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  12. The value of ((1.5)^3 + (4.7)^3 + (3.8)^3 - 3 xx 1.5 xx 4.7 xx 3.8)/...

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  13. The smallest number which must be added to 803642 in order to obtain a...

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  14. Simplified value of (8.73 xx 8.73 xx 8.73 + 4.27 xx 4.27 xx 4.27)/(8.7...

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  15. If (x - 1/x) = 5, then x^3 - 1/(x^3) equals :

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  16. Mohan gets 3 marks for each correct sum and loses 2 marks for each wro...

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  17. |x-1|+|x-2|+|x-3| ge 6

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  18. It costs Rs. 10 a kilometer to fly and Rs. 2 a km to drive. If one tra...

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  19. If 2^(x + 3) . 4^(2x - 5) = 2^(3x + 7) , then the value of x is :

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  20. The value ((x^a)/(x^b))^((a^2 + ab + b^2)) ((x^b)/(x^c))^((b^2 + bc + ...

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