Quadratic & Other Test 1

1.

2.

 In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.

I. 28x² − 79x + 55 = 0 

II. 72y² − 91y + 24 = 0

At a shop, the price of rice per kg is Rs.15 less than the price of wheat per kg, while the price of black gram is Rs.10 more than the price of wheat per kg. A customer bought six kg each of rice, wheat and black gram for Rs.780. What is the price of two kg of rice and three kg of the black gram? 

 If the equations x² - px + q = 0 and x² + qx - p = 0 have a common root, then which one of the following will hold true?

If x² - y² = 80 and x - y = 8, then the average of x and y is?

7.

 Two number x and y (x > y) are such that their sum is equal to three times their difference. Then value of  will be?

If a and b be positive integers such that a² - b² = 19, then the value of a is?