Home
Class 14
MATHS
If the arithmetic mean of 3a and 4b is g...

If the arithmetic mean of 3a and 4b is greater than 50, and a is twice b, then the smallest possible Integer value of a is

A

20

B

22

C

21

D

19

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ALLIGATION

    GAGAN PRATAP |Exercise ALLIGATION (SHEET-3)|25 Videos
  • BOAT & STREAM

    GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTIONS|42 Videos

Similar Questions

Explore conceptually related problems

If the arithmetic mean of a and b is double their geometric mean,with a>b>0. then a possible value for the ratio (a)/(b) to the nearest integer.is

Choose the correct answer to the following questions. (i) The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10. (ii) Dis 3 less than A. (iii) B is the middle term. (iv) F is as much less than B as C is greater than D. (v) G is greater than F. The greatest possible value of C is how much greater than the smallest possible value of D?

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

Suppose log_(a)b+log_(b)a=c. The smallest possible integer value of c for all a,b>1 is

A, B and C are distinct positive integers, less than or equal to 10. The arithmetic mean of A and B is 9. The geometric mean of A and C is 6sqrt(2) . Find the harmonic mean of B and C.

If a,b,c are first three terms of a G.P.If the harmonic mean of a and b is 20 and arithmetic mean of b&c is 5, then no term of this G.P.is square of an integer arithmetic mean of a,b,c is 5 c.b=+-6 d.common ratio of this G.P.is 2

Suppose log_(a)b+log_(b)a=c . The smallest possible integer value of c for all a, b gt 1 is -

If the arithmetic means of two positive number a and b (a gt b ) is twice their geometric mean, then find the ratio a: b

GAGAN PRATAP -AVERAGE-Multiple Choice Questions
  1. The average of 1088 real numbers is zero. At most how many of them can...

    Text Solution

    |

  2. The mean of fifteen different natural numbers is 13. The maximum value...

    Text Solution

    |

  3. If the arithmetic mean of 3a and 4b is greater than 50, and a is twice...

    Text Solution

    |

  4. The average of three numbers a, b and c is 2 more than c. The average ...

    Text Solution

    |

  5. The average monthly income (in Rs) of certain agricultural workers is ...

    Text Solution

    |

  6. If A is (1)/(6) of C, and B is twice of A, and the average of A,B and ...

    Text Solution

    |

  7. The average of the age of Sonu, Hari and Govind is 30 years. If their ...

    Text Solution

    |

  8. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th nu...

    Text Solution

    |

  9. The average of the first four numbers is three times the fifth number....

    Text Solution

    |

  10. The average of five positive numbers is 56. If the first number is thr...

    Text Solution

    |

  11. The side of a square exceeds the side of another square by 4cm and the...

    Text Solution

    |

  12. Of the three numbers, the average of the first and the second is great...

    Text Solution

    |

  13. The average of a non-zero number, its square and its cube is 127 times...

    Text Solution

    |

  14. The average of x, y and z is 45. x is as much more than the average as...

    Text Solution

    |

  15. Out of four numbers the average of the first three is 26 and that of t...

    Text Solution

    |

  16. A student finds the average of ten 2-digits numbers. While copying num...

    Text Solution

    |

  17. In a class of 180 students, 45% are girls and the remaining are boys. ...

    Text Solution

    |

  18. In a class of 60 students, 40% are girls. The average weight of the wh...

    Text Solution

    |

  19. The average height of 5 boys is 175 cm. A sixth boy joined the group a...

    Text Solution

    |

  20. The weight of 9 members out of 22 are measured consecutively and their...

    Text Solution

    |