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If a, b, c are all distinct positive num...

If a, b, c are all distinct positive numbers, then `(a+b)(b+c)(c+a)`:

A

less than 4

B

less than 4abc

C

greater than 8abc

D

greater than `(abc)^(3)`

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The correct Answer is:
C
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ARIHANT SSC-ELEMENTS OF ALGEBRA-EXERCISE(LEVEL 1)
  1. If abcd=81, what is the minimum value of a+b+c+d?

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  2. Which one of the following is correct?

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  3. If a, b, c are all distinct positive numbers, then (a+b)(b+c)(c+a):

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  4. If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is...

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  5. If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?

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  6. If x gt 0, y gt 0 then minimum value of (x+y)(1/x+ 1/y) is

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  7. If a, b, c and d are four positive numbers such that a+b+c+d=4, then w...

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  8. At what rate percent per annum will a sum of money double in 6 year ?

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  9. If x, y, z are real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6,...

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  10. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)= 64 (b) 134...

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  11. If a, b, c are positive real numbers, then the least value of (a+b+c)(...

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  12. If a, b are postitive real numbers such that ab=1, then the least valu...

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  13. If a, b, c all positive and not euqal, then the value of ((a+b+c)(ab+b...

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  14. If a, b, c are all positive integers, then the minimum value of the ex...

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  15. If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

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  16. If a + b + c = 3, a^(2) + b^(2) + c^(2) = 6 and (1)/(a) + (1)/(b) + (...

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  17. IF 2^x=4^y=8^z and xyz=288 then 1/(2x)+1/(4y)+1/(8z)=……………

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  18. If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

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  19. Let x, y in N and 7x+12y=220. The number of solutions :

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  20. If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

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