Question
I. 77x² - 25x – 72 = 0 II. 42y² +
13y – 42 = 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. 77x² - 25x – 72 = 0 77x² - 88x + 63x – 72 = 0 11x(7x – 8) + 9(7x – 8) = 0 (11x + 9) (7x – 8) = 0 x = -9/11, 8/7 II. 42y² +13y – 42 = 0 42y² + 49y - 36y – 42 = 0 7y(6y + 7) – 6(6y + 7) = 0 (7y – 6) (6y + 7) = 0 y = 6/7, -7/6 Hence, relationship cannot be established between x and y.
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets. <...
A bag contains 550 coins of 25p denomination and 1100 coins of 50p denominations. If 11% of 25p coins and 22% of 50p coins are removed, the percentage o...
- If value of 'Q' is 15% of 'P', then 'Q' is how much percentage of the remaining part of 'P'?
The sum of the monthly incomes of βAβ, βBβ and βCβ is Rs. 65000 which is 4 times the monthly income of βCβ. If βAβ spends 55% of his...
In a company interview test, 65% of the students passed in the first round, and 55% passed in the technical round, while 15% of students failed in both ...
Sunita scored 434 marks in a test and failed by 6 marks. If the passing marks of the test is 25%. What is the maximum mark of the test?
In 2020, Sumit's expenditure and savings are in the ratio of 4:3 . The following year, his expenditure increases by 25% , and his savings grow by (100/3...
If 20% of a = b and then b is:
- The population of a town increased by 10% in the first year, then again by 15% in the second year, and decreased by 20% in the third year. If the populatio...
Sachin allocates 40% of his monthly income to his studies. From what remains, he spends 35% on food. After these expenses,he saves Rs. 1560 each month. ...