Home
Class 14
MATHS
If a + b + c = 13 then, what is the maxi...

If a + b + c = 13 then, what is the maximum value of (a - 3) (b - 2) (c + 1)

A

26

B

27

C

30

D

19

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 13.2|22 Videos
  • DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|47 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=13 What is the maximum value of (a-3)(b-2)(c+1)?

If a + b + c =0, then what is the value of (a + b -c) ^(3) + (c + a -b) ^(3) + (b + c - a) ^(3) ?

If a, b, c and d are four positive numbers such that a+b+c+d=4 , then what is the maximum value of (a+1)(b+1)(c+1)(d+1) ?

If y=cos x ,then what is the maximum value of y (A) 1 (B) -1 (C) pi (D) 2 pi

ARIHANT SSC-ELEMENTS OF ALGEBRA-EXERCISE(LEVEL 1)
  1. If a + b + c = 13 then, what is the maximum value of (a - 3) (b - 2) (...

    Text Solution

    |

  2. If abcd=81, what is the minimum value of a+b+c+d?

    Text Solution

    |

  3. Which one of the following is correct?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |