Home
Class 12
MATHS
Let a ,x, y ,z b be in AP where x+y+z=15...

Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP where `p^(-1) +q^(-1)+r^(-1)=5/3` What is the value of ab What is the value of xyz What is the value of pqr

A

120

B

105

C

90

D

Cannote be determined

Text Solution

Verified by Experts

The correct Answer is:
B
On solving eq (1) & (2), we get
(i) `a=1" & "b=9impliesa+4d=9impliesd=2`
(ii)`a=9" & "b=1impliesa+4d=1impliesd=-2.`
For a = 1 & d = 2,
`x=3,y=5" & "z=7`
For a = 9 & d = -2,
`x=7,y=5" & "z=3`
`impliesxyz=7xx5xx3=105`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2021(I)

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTION|108 Videos

  • SETS, RELATIONS, FUNCTIONS AND NUMBER SYSTEM

    NDA PREVIOUS YEARS|Exercise MCQ|271 Videos

Similar Questions

Explore conceptually related problems

If a,x,y,z,b are in AP then x+y+z=15 and if a,x,y,z,b are in HP.then (1)/(x)+(1)/(y)+(1)/(z)=(5)/(3). Numbers a,b are

Suppose a, x, y, z and b are in A.P. where x + y + z = 15, and a, alpha , beta, gamma, b are in H.P, where 1//alpha + 1//beta + 1//gamma = 5/3. Find a and b

Let a,x,b be in A.P , a,y,b be in G.P and a,z,b be in H.P . If x=y+2 and a=5z , then

If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p)z^(p-q)=1

If a, x, y, z, b are in A.P., then value of xyz is 35/3 and if a, x, y, z, b are in H.P., then value of xyz is 75/7, where a and b are given positive integers. Then value of (ab) is

x+y+z=15 if 9, x, y, z, a are in A.P. while (1)/(X)+(1)/(Y)+(1)/(Z)=(5)/(3)if9,X, Y, Z, a are in H.P., then the value of a will be -

NDA PREVIOUS YEARS-SEQUENCE AND SERIES -MATH
  1. How many geometric progressions are possible containing 27, 8 and 12 a...

    Text Solution

    |

  2. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |

  3. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |

  4. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |

  5. The sixth term of an AP is 2, and its common difference is greater tha...

    Text Solution

    |

  6. The sixth term of an AP is 2, and its common difference is greater tha...

    Text Solution

    |

  7. The interior angles of a polygon are in AP The smallest angle is 120 a...

    Text Solution

    |

  8. The interior angles of a polygon are in AP The smallest angle is 120 a...

    Text Solution

    |

  9. If x^[ln[y/z]].y^[ln[xz]^2].z^[ln[x/y]]=y^[4lny] for any x>1,y>1 and z...

    Text Solution

    |

  10. What is the sum of the series 0.3+0.33+0.333+....n terms?

    Text Solution

    |

  11. If (0,-3)a n d(0,3) are the two vertices of an equilateral triangle, f...

    Text Solution

    |

  12. The sum of the roots of the equation x^(2)+bx+c=0 (wheere b and c are...

    Text Solution

    |

  13. The sum of the roots of the equation ax^(2)+x+c=0( where a and c are n...

    Text Solution

    |

  14. The fifth term of an AP of n terms, whose sum is n^2 -2n, is

    Text Solution

    |

  15. The sum of all 2 digited odd numbers is

    Text Solution

    |

  16. The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...

    Text Solution

    |

  17. Let x, y, z be positive real numbers such that x, y, z are in GP and t...

    Text Solution

    |

  18. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

    Text Solution

    |

  19. The value of the product 6^((1)/(2))xx6^((1)/(4))xx6^((1)/(8))xx6^((1)...

    Text Solution

    |

  20. A person is to count 4500 currency notes. Let an, denote the number of...

    Text Solution

    |