Home
Class 14
MATHS
There are 250 integers a(1) , a(2) , ......

There are 250 integers `a_(1) , a_(2) , .... a_(250)` not all of them necessarily different. Let the greatest integer of these 250 integers be referred to as max, and the smallest integer be referred to as min. The integers `a_(1)` through `a_(124)` form sequence A, and the rest form sequence B. Each member of A is less than or equal to each member of B.
Elements of A are in ascending order, and those of B are in descending order. `a_(124)` and `a_(125)` are interchanged. Then which of the following statements is true?

A

A continues to be in ascending order.

B

B continues to be in descending order.

C

A continues to be in ascending order and B in descending order.

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos
  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

a_(1),a_(2),a_(3),a_(4) & a_(5) are five consecutive odd integers, then their mean is.

For any three sets A_(1),A_(2),A_(3), let B_(1)=A_(1),B_(2)=A_(2)-A_(1) and B_(3)=A_(3)-(A_(1)uu A_(2)), then which one of the following statement is always true

If positive integers a_(1),a_(2),a_(3),..... are in A.P. such that a_(8)+a_(10)=24 then the value of a_(9) is.

Let A=(a_(1),a_(2)) " and " B=(b_(1),b_(2)) be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A an B ?

Suppose a_(1) , a_(2) , a_(3) ,…., a_(2012) are integers arranged on a cicle. Each number is equal to the average of its two adjacent numbers. If the sum of all even idexed numbers is 3018 , what is the sum of all numbers ?

Let a_(1),a_(2),a_(3), . . . be a harmonic progression with a_(1)=5anda_(20)=25 . The least positive integer n for which a_(n)lt0 , is

If a_(1),a_(2),a_(3),"......" be in harmonic progression with a_(1)=5 and a_(20)=25 . The least positive integer n for which a_(n)lt0 is

Construct a 2xx3 "matrix"A=[a_(ij)] , whose elements are give by a_(ij)=[{:(i)/(j):}] , where [.] denotes the greatest integer function.

DISHA PUBLICATION-MOCK TEST 2 -Multiple Choice Questions
  1. 16 students were writing a test in a class. Rahul made 14 mistakes in ...

    Text Solution

    |

  2. There are 250 integers a(1) , a(2) , .... a(250) not all of them neces...

    Text Solution

    |

  3. The average age of a group of persons going for a picnic is 16.75 year...

    Text Solution

    |

  4. A mixture worth Rs 3.25 per kg is formed by mixing two types of salts,...

    Text Solution

    |

  5. To pass an examination, 40% marks are essential. A obtains 10% marks l...

    Text Solution

    |

  6. The RBI lends a certain amount to the SBI on simple interest for two y...

    Text Solution

    |

  7. A milkman claims to sell milk at its cost price only, but he is making...

    Text Solution

    |

  8. Arvind Singh purchased a 40 seater bus. He started his services on rou...

    Text Solution

    |

  9. A tank of 3600 cum capacity is being filled with water. The delivery o...

    Text Solution

    |

  10. An urgent message had to be delivered from the house of the Peshwas in...

    Text Solution

    |

  11. ABCD is a square, in which a circle is inscribed touching all the side...

    Text Solution

    |

  12. The radius of a cone is √2 times the height of the cone. A cube of max...

    Text Solution

    |

  13. A straight line intersects the x-axis at A and the y-axis at B. AB is ...

    Text Solution

    |

  14. If f(x)=x, g(x)=sqrt(x^2) and h(x)=x^2/x, then the set of values for w...

    Text Solution

    |

  15. If alpha , beta , gamma be the roots of the equation x ( 1+ x^(2)) +...

    Text Solution

    |

  16. The following data was observed from a study of car complaints receive...

    Text Solution

    |

  17. The following data was observed from a study of car complaints receive...

    Text Solution

    |

  18. If log x : log y : log z =(y - z): (z -x): (x - y), then

    Text Solution

    |

  19. Sam has forgotten his friend's seven-digit telephone number. He rememb...

    Text Solution

    |

  20. The probability that a man will live 10 more years is 1/4 and the prob...

    Text Solution

    |