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The expression (a - b)^3 + (b - c)^3 + (...

The expression `(a - b)^3 + (b - c)^3 + (c - a)^3 = 0` if :

A

`a lt b lt c `

B

`a gt b gt c`

C

`a = b = c`

D

`a != b = c`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
  1. If |x - 2| < 3 then :

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  2. A fraction becomes 4 when 1 is added to both the numerator and denomin...

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  3. The expression (a - b)^3 + (b - c)^3 + (c - a)^3 = 0 if :

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  4. If a + b + c = 11, a^2 + b^2 + c^2 = 51, what is the value of ab + bc ...

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  5. If x + y + z = 0, then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(x...

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  6. The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :

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  7. The continued product of (1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and ...

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  8. Find the value of x and y in the given equation 5 7/x xx y 1/13 = 12:

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  9. The square root of 32 137/484 is :

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  10. Simplify (sqrt(25.4016) - sqrt(1.0609))/(sqrt(25.4016) + sqrt(1.0609))...

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  11. The square root of ((1 3/4)^4-(2 1/3)^4)/((1 3/4)^2-(2 1/3)^2)

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  12. Two numbers 34041 and 32506 when divided by a certain number of three ...

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  13. Mr. Black has three kinds of wine, of the first kind 403 litres, of th...

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  14. The largest sum of money which is contained in both Rs. 49.56 and Rs. ...

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  15. Tanya gives away to each of four girls 1/12, 5/18, 7/30, 7/48 of the a...

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  16. Abhishek, Bobby and Charlie start from the same point and travel in th...

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  17. The value of (4 1/7 - 2 1/4)/(3 1/2 + 1 1/7) div 1/(2+1/(2 + 1/(5 - 1/...

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  18. Malika travelled 5/16 of his journey by coach and 7/20 by rail, she wa...

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  19. 2^(sqrt3) is :

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  20. If p > 0, q < 0 then which of the following is correct ?

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