Question
A and B can complete a task together in 26 days, while B
alone takes 52 days to finish it. A began working alone and left after ‘x’ days, after which B completed the remaining work in 39 days. Determine the percentage of the total work completed by A.Solution
Let total amount of work be 52 units
Efficiency of (A + B) = 52/26 = 2 units/day
Efficiency of ‘B’ = 52/52 = 1 unit/day
Amount of work done by ‘B’ = 39 × 1 = 39 units
Percentage of work done by ‘A’ = {(52 – 39)/52} × 100 = 25%
I. 6x² + 37x + 45 = 0
II. 3y² - 11y + 6 = 0
I. 3y² - 20y + 25 = 0
II. 3x² - 8x + 5 = 0
if x satisfies 3x² – 5x – 12 = 0, find the sum of reciprocals of roots.
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. 2x2 - 5x - 33 =0
II. 2y2 + 5y - 25 = 0
Equation 1: x² - 180x + 8100 = 0
Equation 2: y² - 170y + 7225 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 41x² - 191x + 150 = 0
Equation 2: 43y² - 191y + ...
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
Roots of the quadratic equation 2x2 + x – 528 = 0 is
I. 4x² -  15x + 9 = 0
II. 20y² -  23y + 6 = 0
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