Question
I. 15y2 + 4y – 4 = 0 II.
15x2 + x – 6 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 15y2 + 4y – 4 = 0 15y2 + 10y – 6 y – 4 = 0  5y(3y + 2) – 2 (3 y + 2) = 0 (5 y – 2) (3 y + 2) = 0 y = 2/5, -2/3 II. 15x2 + x – 6 = 0 15x2 – 9 x + 10x – 6 = 0 3 x(5 x – 3) + 2 (5 x – 3) = 0 (3 x + 2) (5 x – 3) = 0 x = - 2/3, 3/5 Hence, x ≥ y
Farhan and Dev can complete a work alone in 75 days and 90 days respectively. If they work together and earn Rs. 8,250, find Dev’s share.
A and B individually can complete the work in 20 days and 30 days respectively. If the time taken by C alone to complete the work is 1.25 times the time...
25% of the work done by Arjun in 6 days equals 50% of the work done by Karan in 3 days. If Arjun alone finishes the full work in 24 days, find the time ...
A and B together can do a work in 12 days. If A can alone do the same work in 18 days, then in how many days B alone will do the same work?
‘Elvish’ and ‘Farhan’ alone can finish a work in 25 and 50 days, respectively, while ‘Gaurav’ can complete 20% of the job in 10 days. All th...
‘A’ and ‘B’ can do a piece of work in 22 days and 25 days, respectively. If they started the work together and worked on it for 6 days, then fin...
- Time taken by 'X', 'Y' and 'Z' to finish a task is 48 days, 72 days, and 96 days respectively. All started the task together, but 'X' left 12 days before c...
A and B finish a job together in 36 days, while B and C together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days wi...
Three workers P1, P2 and P3 got work from the contractor. In 30 days, ‘P1’ completed 30% of work. ‘P2’ is 20% less efficient tha...
A’ and ‘B’ together can complete a work in 20 days while ‘A’ takes 25 days to complete the same work alone. If ‘C’ is 60% more efficient t...
Relevant for Exams:
