Question
A can complete a task in 24 days, B can complete the
same task in 18 days, and C can complete it in 12 days. A and B work together for 4 days, and then C takes over. How many days will C take to complete the remaining work?Solution
Work done by A and B together in 4 days = 4 × (1/24 + 1/18) = 4 × (7/72) = 28/72 = 7/18. Remaining work = 1 - 7/18 = 11/18. C can complete 1/12 of the work per day. Time taken by C to complete 11/18 of the work = (11/18) / (1/12) = 11/18 × 12 = 22/3 = 7.33 days.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 45x + 450 = 0
Equation 2: y² - 48y + 540 = 0�...
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
What is the average salary of 10 officers , if a clerk’s salary is Rs. 15,000?
Statement I: The total salary of 10 officers and 5 clerk is Rs....
I. 6x2 – 7x - 20 = 0
II. 3y2Â - y - 14 = 0
I. 2x² - 12x + 16 = 0  Â
II. 4y² - 8y - 12 = 0  Â
I. 5x + y = 37
II. 4y+ x = 15
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 54x + 704 = 0
Equation 2: y² - 44y + 448 = 0
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 0