Quant Boosters  Kamal Lohia  Set 8

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q21) Find real x such that xx  3x  4 = 0

kamal_lohia last edited by kamal_lohia
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?

kamal_lohia last edited by kamal_lohia
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

kamal_lohia last edited by kamal_lohia
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.

kamal_lohia last edited by kamal_lohia
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.

kamal_lohia last edited by kamal_lohia
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.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q27) Find the sum of all solutions of 3x  1  2x = 2.

kamal_lohia last edited by kamal_lohia
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.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q29) Solve system of equations; logₓ8 + log₂y = 2 and logₓ2 + log₈y² = 1.

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
: (150009000/15000)*100=40%