Question
Four numbers, when arranged in ascending order, are w,
x, y and z. The average of the smallest three numbers is 25.5 while the average of the largest three numbers is 29.5. What is the range of the data?Solution
⇒ (w + x + y)/3 = 25.5 ⇒ w + x + y = 76.5 ---- (1) Also, ⇒ (x + y + z)/3 = 29.5 ⇒ x + y + z = 88.5 ---- (2) Subtracting equation (1) from (2), we get, ⇒ z – w = 88.5 – 76.5 = 12 ∴ The range of the data is 12.
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
What will be the product of smaller roots of both equations.
I. 3x2 - 14x + 15 = 0
II. 15y2 - 34 y + 15 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 4x² - 15x + 9 = 0
II. 20y² - 23y + 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x² - 8x + 15 = 0 ...
I. 3x2 + 3x - 60 = 0
II. 2y2 - 7y + 5 = 0
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