Home
Class 14
MATHS
The number of rows in a lecture hall equ...

The number of rows in a lecture hall equals the number of seats in a row. If the number of rows is doubled and the number of seats in every row is reduced by 10. the number of seats in increased by 300 .If x denotes the number of rows in the lecture hall. then what is the value of x ?

A

10

B

15

C

20

D

30

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|103 Videos

  • PROPERTIES OF TRIANGLES

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|30 Videos

  • SEQUENCE AND SERIES

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|88 Videos

Similar Questions

Explore conceptually related problems

The number of rows in a lecture hall equals the number of seats in a row. If the number of rows is reduced by 10, the number of seats is increased by 300. If x denotes the number of rows in the lecture hall, then what is the value of x?

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. How many number of rows are there in the original arrangement?

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. If x is taken as number of row in original arrangement which of the following quadratic equation describe the situation ?

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. How many number of seats are there in the auditorium after re-arrangement.

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. How many number of seats are there in the auditorium in original arrangement ?

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. How many number of columns are there in the auditorium after re-arrangement?

In an auditorium, seats are arranged in rows was equal to the number of seats in each row. When the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. Find the number of rows in original arrangement.

A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.

PUNEET DOGRA-QUADRATIC EQUATIONS-PREV YEAR QUESTIONS
  1. The number of rows in a lecture hall equals the number of seats in a r...

    Text Solution

    |

  2. What is the solution of x le 4, y ge 0 and x le - 4. y le 0 ?

    Text Solution

    |

  3. How many real roots of the equations x^(2) + 3|x| +2 = 0 have ?

    Text Solution

    |

  4. Consider the following statements in respect of the quadratic equation...

    Text Solution

    |

  5. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

    Text Solution

    |

  6. Simplify:- 3.5 * (80 ÷ 2.5) = ?

    Text Solution

    |

  7. If |x^(2) - 3 x + 2| gt x^(2) - 3 x + 2. Then which one of the followi...

    Text Solution

    |

  8. Under which one of the following conditions will the quadatic equation...

    Text Solution

    |

  9. The value of (1)/(2+(1)/(2-(1)/(2-(1)/(2))))

    Text Solution

    |

  10. Let A cup B = {x|(x-a)(x-b)gt0, where a lt b}, what are A and B equal ...

    Text Solution

    |

  11. If p and q are the roots of the equation x^(2) - 30x + 221 = 0. What i...

    Text Solution

    |

  12. What are the roots of the equations |x^(2) -x - 6| = |x + 2| ?

    Text Solution

    |

  13. If a and b are the different real roots of the equations px^(2) + qx ...

    Text Solution

    |

  14. If roots of the equation x^(2) + px + q = 0 are tan19 and tan26 then w...

    Text Solution

    |

  15. Number of real roots of the equation x^(2) + 9|x|+20=0 is/are

    Text Solution

    |

  16. The ratio of roots of the equations ax^(2) + bx + c = 0 and px^(2) + q...

    Text Solution

    |

  17. If cos alpha and cos beta (0 lt a lt beta lt pi) are the roots of the ...

    Text Solution

    |

  18. If alpha and beta (!=0) are the roots of the quadratic equation x^(2)+...

    Text Solution

    |

  19. Consider the following expression : (1) x + x^(2) - (1)/(x) (2). ...

    Text Solution

    |

  20. Simplify:- 70% of 100 * 12 = ? - 25

    Text Solution

    |

  21. The equation |1-x| + x^(2) = 5 has :

    Text Solution

    |