Quant Boosters - Kamal Lohia - Set 8


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q21) Find real x such that x|x| - 3|x| - 4 = 0


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q22) For how many integers (m, n) whose absolute value is less than 7, the system of equations 3x + my - 5 = 0 and x + ny - 4 = 0 has no solution?


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q23) Assume the equation 2x² + x + a = 0 has the solution set A, and the equation 2x² + bx + 2 = 0 has the solution set B, and A ⋂ B = {1/2}, find A ⋃ B


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q24) Find real valued solutions (x, y, z) for the equation √(x) + √(y - 1) + √(z - 2) = (x + y + z)/2.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q25) Solve the equation (x + 1)/(x + 4) - (x + 4)/(x + 1) + (x + 1)/(x - 2) - (x - 2)/(x + 1) = 2/3.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q26) If the equation x² - 2x - 4y = 5 has real valued solutions, find the maximum value of x - 2y.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q27) Find the sum of all solutions of |3x - |1 - 2x|| = 2.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q28) For what value/s of k, the quadratic equation (k² - 1)x² - 6(3k - 1)x + 72 = 0 with variable x has two distinct positive integer roots.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q29) Solve system of equations; logₓ8 + log₂y = 2 and logₓ2 + log₈y² = 1.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q30) A colony of 15000 ants increased by 50% after being fed. A fter, 4 weeks without food, the number of ants dropped by 60%. What percentage decline did the original population undergo?
    a. 90%
    b. 55%
    c. 50%
    d. 40%
    e. 10%



  • @kamal_lohia D)40% first you will find the increase in percentage which will be 22500.
    after 4 weeks without food ,the drop was 60%
    so the final count will be 9000
    :- (15000-9000/15000)*100=40%


 

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