Question
I. 2x2 + 12x + 18 = 0 II.
3y2 + 13y + 12 = 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. 2x2 + 12x + 18 = 0 => 2x2 + 6x + 6x + 18 = 0 => 2x(x + 3) + 6(x + 3) = 0 => (x + 3) (2x + 6) = 0 => x = -3, -3 II. 3y2 + 13y + 12 = 0 => 3y2 + 9y + 4y + 12 = 0 => 3y(y + 3) + 4(y + 3) = 0 => (y + 3) (y + 4) = 0 => y = -3, -4 Hence, x ≥ y.
Person P allocated 65% of the money he had between X and Y in a ratio of 6:7. Both Y and X invested the amounts they received in ...
In a mixed school 25% of the scholars are infants under 7 and the number of girls above 7 is 4/5 of the number of boys above 7, is 120. Find the number ...
The monthly income of B is 25% more than that of A. If the income of B is Rs. 42000 and A saves 40% of his monthly income, then find A’s expenditure.
The total strength of school A is 40% more than that of school B. In school A and B, out of total number of students, 25% and 40% respectively are girls...
A person spent 25% of his monthly income on food and 55% of the remaining on rent. If amount spent on rent is Rs 825, then find the amount spent on food.
In a given years, A sold 1600 caps while B sold 30% more number of caps than A and C sold 20% less number of caps than B. Find the ratio between the num...
Kalpana allocates 30% of her monthly income to educational expenses and spends 60% of what remains on clubbing activities. If she spends Rs. 3024 on clu...
Two numbers are less than a third number by 36% and 40% respectively. Find the percent by which the second number is less than the first.
Meena scored 45% marks and failed by 75 marks, while Raj scored 75% marks, which was 105 marks more than the passing marks. Find the total marks of the ...
The speed of a car is 30% more than that of a bike. Both of them start from a same point. After travelling for 7 hours, the speed of the bike is increas...
