Question
‘A’ and ‘B’ can do a piece of work in 15 days
and 18 days, respectively. They started working together but ‘A’ left after 5 days. Find the time taken by ‘B’ to complete the remaining work.Solution
Let total amount of work be 90 units (LCM of 15 and 18). Efficiency of ‘A’ = 90/15 = 6 units/day Efficiency of ‘B’ = 90/18 = 5 units/day Amount of work done by ‘A’ and ‘B’ together in 5 days = (6 + 5) × 5 = 55 units Time taken by B to complete remaining work = {(90 – 55)/5} = 7 days
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
