Question
I. 18x² + 27x + 10 = 0 II. 12y² + 17y +
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. 18x² + 27x + 10 = 0 18x² + 12x + 15 x + 10 = 0 6 x(3 x + 2) + 5(3 x + 2) = 0 (6 x + 5) (3 x + 2) = 0 ∴ x = -5/6, -2/3 II. 12y² + 17y + 6 = 0 12y² + 9y + 8y + 6 = 0 3y (4 y + 3) + 2(4 y + 3) = 0 (3 y + 2) (4 y + 3) = 0 ∴ y = -2/3, -3/4 Hence, relationship cannot be established between x and y
- 6 interns together do as much work as a regular employee. If 36 interns finish 90 tasks in 3 days, how many regular employees are required to do 90 tasks i...
If 12 men working 12 hours a day can make 12 quilts in 12 days, then in how many days 24 men working 24 hours per day will make 24 quilts?
An elephant can do a work as fast as two horses ‘A’ and ‘B’ can do it by working together. If horse ‘A’ alone can complete the work in 38 ho...
‘P’ is 20% more efficient than ‘Q’. ‘P’ can do a piece of work in 15 days. They begin the work together, but ‘Q’ leaves after 6 days. Th...
A group of 3 men and 5 women can finish a task in 12 days, while another group of 5 men and 3 women can complete the same task in 9 days. If one man and...
Two candles of same height can burn completely in 8 hours and 12 hours respectively. If both start burning at same time at their respective constant spe...
50 men can complete a piece of work in 15 days. 10 men started the same work and worked for 10 days, and then joined by ‘x’ more men such that the r...
- A group of 36 boys works 13 hours per day and completes 37.5% of a task in 20 days. After these 20 days, 'X' boys leave the job. The remaining boys continu...
P, Q, and R can complete a work in 12 days. 15 days and 30 days, respectively, working alone. How soon can the work be completed if P is assisted by Q a...
‘X’ can complete a job in 30 days. ‘Y’ is 50% more efficient than ‘X’. How long will they take to finish 75% of the work together?
...
Relevant for Exams:
