Home
Class 10
MATHS
A school decided to award prizes to the ...

A school decided to award prizes to the most punctual and the most obedient student. The sum of the two prizes is Rs 150 and their product is Rs 5600. Find the prize money for punctuality and obedience.

A

Rs 70, Rs 80

B

Rs 40, Rs 110

C

Rs 60, Rs 90

D

Rs 50, Rs 100

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 2)|14 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MATCH THE FOLLOWING)|1 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 4.4)|8 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|15 Videos

Similar Questions

Explore conceptually related problems

Two schools A and B decided to award prizes to their students for three values honesty (x) , puntuality (y) and obedience (z) . School A decided to award a total of ₹11000 for the three values to 5,4 and 3 students respectively while school B decided to award ₹10700 for the three values to 4,3 and 5 students respectively. If all the three prizes together amount to ₹2700 , then : (i) Represent the above situation by a matrix equation and form linear equations, using matrix multiplication. (ii) Is it possible to solve the system of equations so obtained, using matrix multiplication?

Two schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of R sdotx ,R sdoty and R sdotz per student respectively. School A , decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively while school B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then (i) Represent the above situation by a matrix equation after forming linear equations. (ii) Is it possible to solve the system of equations so obtained using matrices ? (iii) Which value you prefer to be rewarded most and why ?

A sum of RS.6000 is to be given in the form of 63 prizes.If the prizes money.Is either Rs.100 or Rs.50. Find the number of prizes of each type?

A sum of Rs.3000 is to be given in the form of 63 prizes.If the prize money is either Rs.100 or Rs.25. Find the number of prizes of each type?

A sum of Rs. 2800 is to be used to award four prizes. If each prize after the first is Rs. 200 less than the preceding prize, find the value of each of the prizes.

MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
  1. The roots of the equations 2x - (3)/(x) = 1 are

    Text Solution

    |

  2. For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and eq...

    Text Solution

    |

  3. The equation k^(2) x^(2) + kx + 1 = 0 has

    Text Solution

    |

  4. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)...

    Text Solution

    |

  5. For what value of k, the equation x^(2) + 4kx + 4 = 0 has equal roots...

    Text Solution

    |

  6. If alpha , beta roots of the equations x^(2) - 5x + 6 = 0, find the va...

    Text Solution

    |

  7. An integer when added to its square equals 182. One of the integer is

    Text Solution

    |

  8. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  9. Study the statement carefully. Statement I : Both the roots of the e...

    Text Solution

    |

  10. Two numbers differ by 3 and their product is 504. Find the number.

    Text Solution

    |

  11. Find the value of k for the equation 2x^(2) + kx + 2 = 0, if it has eq...

    Text Solution

    |

  12. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |

  13. Divide 16 into two parts such that twice the square of the larger p...

    Text Solution

    |

  14. Out of a number of saras birds, one-fourth of the number are moving ab...

    Text Solution

    |

  15. A farmer wishes to grow a 100m^2 rectangular vegetable garden. Since h...

    Text Solution

    |

  16. Find the vlaue of k for which the roots of the equation kx (3x - 4) + ...

    Text Solution

    |

  17. If the equation x^2-3kx+2e^(2logk)-1=0 has real roots such that the pr...

    Text Solution

    |

  18. A school decided to award prizes to the most punctual and the most obe...

    Text Solution

    |

  19. The sum of the lives of the electric lamps one C.F.L and other ordianr...

    Text Solution

    |

  20. The number of real roots of the equation (x - 1)^(2) + (x -2)^(2) + (x...

    Text Solution

    |