Question
Total number of students in a class is 1920, and the
ratio of number of boys to girls is 7:9. If the number of boys and girls is increased by a% and (a – 2)% respectively, then the total number of students in the class will become 2208. Find the value of a.(Can calculate approx. value)Solution
ATQ, Number of boys in the class before increase = (7/16) ×1920=840 Number of girls in the class before increase = 1920 – 840 = 1080 According to the question: 
So, the value of a is approximately 16.13%.
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 92x + 73 = 0
Equation 2: 17y² - 76y + 59 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 35x² + 83x + 36 = 0
II. 42y² + 53y + 15 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
Relevant for Exams:
