Question
I. 22x² - 97x + 105 = 0 II. 35y² - 61y + 24 =
0Solution
I. 22x² - 97x + 105 = 0 22x² - 55x - 42 x + 105 = 0 11 x(2 x – 5) – 21(2 x – 5) = 0 (11 x – 21) (2 x – 5) = 0 x = 21/11, 5/2 II. 35y² - 61y + 24 = 0 35y² - 40y - 21 y + 24 = 0 5 y (7 y – 8) – 3(7y – 8) = 0 (5 y – 3) (7 y – 8) = 0 y = 3/5, 8/7 Hence, x > y.
P and Q can complete a piece of work individually in 12 days and 20 days, respectively. They start working together, but after 6 days, Q leaves the work...
28 men can complete a work in 20 days. 40 women can complete the same work in 28 days. 20 men and 12 women started working and after 16 days, 20 more wo...
Ajay and Bheem collectively earned Rs.9,000 for completing a task, with Bheem's share being Rs.3,000. If Bheem can complete the work on his own in 48 da...
‘P’ and ‘Q’ can complete a task in 72 days, while ‘Q’ and ‘R’ can finish 60% of the same task in 27 days. If ‘R’ is twice as efficie...
A is five times as efficient as B and can finish a piece of work in 36 days less than B. B can finish this work in how many days?
- Aman and Bhuvan can complete a work in 21 days together, while Bhuvan alone can do it in 35 days. If the ratio of efficiencies of Aman and Chintu is 2:3, f...
‘P’ alone can paint a house in 18 days, while ‘P’ and ‘Q’ together can do it in 12 days. If ‘Q’ started the work and left after 6 days, ...
- Pipe ‘X’ can fill a tank 15 minutes faster than Pipe ‘Y’. If both are opened together, they can fill the tank in 18 minutes. If 180 litres of water...
A can do a work in 12 days and B in 16 days. If they work on it together for 3 days then in how many days the remaining work will be completed by B?
Ratio of the work done by P, Q and R in one day is 6:4:7 respectively. They all together can complete the work in 45 days. Q and R worked on it for 27 d...