Question
A gets 30% of the full marks in an exam and fails by 80
marks. B gets 35% of the full marks in the same exam and he also fails by 64 marks. What is the minimum percentage of marks a student should obtain to pass the exam?Solution
Let maximum marks = 100x ∴ 30x + 80 = 35x + 64 => 5x = 16 => x = 3.2 ∴ Max marks = 100x = 320 ∴ Minimum percentage marks to be pass = {[(30×3.2) + 80]/320} × 100 = 55%
I. 2y² - 35y + 132 = 0
II. 2x² - 31x + 110 = 0
I. 195x² - 46x - 21 = 0
II. 209y² + 13y - 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 122x + 160 = 0
Equation 2: 23y² - 159y + ...
I. 88x² - 13 x – 56 = 0
II. 15 y² + 41 y + 28 = 0
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 37x² - 172x + 135 = 0
Equation 2: 29y² - 132y + ...
What will be the product of smaller roots of both equations.Â
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 45x + 450 = 0
Equation 2: y² - 48y + 540 = 0�...
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