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

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

A

greater than 9abc

B

less than 8abc

C

equal to 10abc

D

greater than 25abc

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The correct Answer is:
A
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QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. Which one of the following is correct?

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  2. If a,b,c are distinct positive real numbers, then

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

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

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

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

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  7. If x,y and z are three distinct positive real numbers such that x+y+z=...

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  8. 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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  9. If x=7+4sqrt3 and xy=1 then the value of (1/x^2+1/y^2) is

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  10. If a,b and c are positive real numbers the least value of (a+b+c)(1/a+...

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

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

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  13. If a,b,c are all positive then the minimum value of the expression(a^2...

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

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  15. If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zer...

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  16. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

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  17. If a^x=b,b^y=c,c^z=a then the value of xyz is:

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

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

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  20. If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx is equal to :

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