Question
I. x2 - 11x + 24 = 0 II. y² - 5y + 6
= 0 In each of the following questions, there are two equations. You have to solve both equations and mark the correct answer.Solution
I. x2 – 11x + 24 =0 => x2 - 8x - 3x + 24 = 0 => x(x - 8) - 3(x - 8) = 0 => (x - 8) (x - 3) = 0 => x = 8, 3 II. y² - 5y + 6 = 0 => y2 - 2y - 3y + 6 = 0 => y(y - 2) - 3(y - 2) = 0 => (y - 2) (y - 3) = 0 => y = 2, 3 Hence, x ≥ y.
Amit manages to reach 25% of a sales goal in 6 days, whereas Geeta can achieve 40% of the same goal within the same timeframe. How long would it take fo...
P and Q can complete a work in 30 days and 45 days, respectively. P, Q and R together can complete the work in 15 days. If R get a total wage of Rs. 540...
A can do a work in 15 days and B in 10 days. They work together for 3 days. What fraction of the work is left?
- A man can complete a job alone in 20 days. A woman can complete half of the same job in 15 days. If both work together, how many days will it take them to ...
A and B can complete a work together in 25 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed ...
‘A’ and ‘B’ can do a piece of work in 17 days and 34 days, respectively. They started working together but ‘A’ left after 4 days. Find the t...
55 men can complete a piece of work in 18 days. ‘x’ men started the work and after 9 days 64 more men joined them so that whole work was finished in...
A and B together can complete a piece of work in 30 days while A alone can complete 50% of the work in 25 days. Find the time taken by B to compl...
A group of 'x' men can finish a job in 46 days. If 8 additional men had joined the group, they could have completed the same job 16 days earlier. Assumi...
'Akshay' alone takes 18 days to finish a work while 'Bhim' alone takes 24 days to finish the same work. If 'Akshay' and 'Bhim' work on alternate days st...