Home
Class 12
MATHS
N a certain test, there are n question. ...

N a certain test, there are `n` question. In the test, `2^(n-i)` students gave wrong answers to at least `i` questions, where `i=1,,2ddot,ndot` if the total number of wring answers given is 2047, then `n` is equal to a. `10` b. `11` c. `12` d. `13`

A

8

B

10

C

11

D

15

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section C Objective type questions (One option is correct )|17 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section D Linked Comprehension Type Questions|12 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

In a certain test,there are n question.In the test,2^(n-i) students gave wrong answers to at least i questions,where i=1,2,.........,n if the total number of wrong answers given is 2047, then n is equal to a.10 b.11 c.12 d.13

In a certain test, there are n questions. In this test, 2^(n-k) students gave wrong answers to atleast k questions, where k=1,2,3, . . ,. If the total number of wrong answers given in 127, then the value of n is

In a certain test, there are n questions. In this, 2^( n-r ) students gave wrong answers to at least (r) questions, where r=0,1,2,….n . If the total number of wrong answer is 4095, then the value of n is

In a certain test,a students gave wrong answers to at least i questions,where i=1,2,...,k. No student gave more than k wrong answers.The total number of wrong answers given is

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Assignment Section B Objective type questions (One option is correct )
  1. On the event of new year each student of class XI sends cards to his c...

    Text Solution

    |

  2. A box contains 3 red, 4 white and 2 black balls. The number of ways in...

    Text Solution

    |

  3. N a certain test, there are n question. In the test, 2^(n-i) students ...

    Text Solution

    |

  4. Number of ways in which a composite number N can be resolved into two ...

    Text Solution

    |

  5. The number of divisions of 9600 , including 1 and 9600 are

    Text Solution

    |

  6. Find the sum of all five digit numbers ,that can be formed using the d...

    Text Solution

    |

  7. The number of ways of selecting 8 books from a library which has 9 boo...

    Text Solution

    |

  8. Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x(1), x(2)...

    Text Solution

    |

  9. There are 12 points in a plane in which 6 are collinear. Number of dif...

    Text Solution

    |

  10. Let Tn denote the number of triangles, which can be formed using th...

    Text Solution

    |

  11. A polygon has 44 diagonals , then the number of its sides is

    Text Solution

    |

  12. There are m points on the line AB and n points on the line AC, excludi...

    Text Solution

    |

  13. The number of rectangle , of any sixe excluding squares from the recta...

    Text Solution

    |

  14. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  15. The exponent of 12 in 100! is

    Text Solution

    |

  16. If the maximum number of trials required to open all locks when there ...

    Text Solution

    |

  17. How many numbers greater than 1000, but not greater than 4000 can be ...

    Text Solution

    |

  18. Find the total number of ways of selecting five letters from the word ...

    Text Solution

    |

  19. Eight chairs are numbered 1 to 8. Two women and three men wish to o...

    Text Solution

    |

  20. The number of ways of distributing 12 different objects among three pe...

    Text Solution

    |