Algebra Test 2

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y. 

I. y² - 6y + 9 = 0         

II. x² + 2x - 3 = 0

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y.

I. x² – 24x + 128 = 0II. 5y² + 42y + 81 = 0

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y.

I. 2x² + 11x + 14 = 0II. 4y² + 12y + 9 = 0

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y.

I. 12x² – x – 1 = 0II. 20y² – 41y + 20 = 0

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y.

I. x² - 9x = - 4x - 6

II. y² + 7y = 2y - 6

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

4x - 3y = 93, 7x + 2y = 191

Quantity A: x + y

Quantity B: x - y

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y.

I. x³ - 468 = 1729II. y² - 1733 + 1564 = 0

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x and y.

I. x² + 3x – 18 = 0

II. 5y² + 7y + 2 = 0

When Parag and Pawan received an increment of 21% and 26% respectively, together their salary increased by Rs. 19300. If the sum of their initial salary is Rs. 80000, find their new salaries.

On his birthday, Aman distributed toffees in his school. He gave 2 toffees each to his classmates and 4 toffees each to the teachers in the school. The strength of his class is twice the number of teachers in the school. After distribution of toffees, if 38 toffees remained with him from a pack of 300 toffees, find the strength of his class.

Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: Age of mother, if the age of Rohan is 1/8th of her mother's age and after 7 years Rohan's age will be 13 years.Quantity B: Age of mother, if the ratio of the ages of Rahul and her mother is 3 ∶ 7 and after 3 years the ratio of their ages will be 6 ∶ 13.

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

 Quantity A: Product of roots of a quadratic equation whose sum of roots is 30.Quantity B: Sum of roots of a quadratic equation whose product of roots is 12656.25.

The number of runs scored by a batsman in an innings is 58. He scored runs only in the form of 4’s and 6’s. In total, he played 13 scoring shots. How many sixes did he hit?

A fraction becomes 3/4 when 1 is added to both, its numerator and denominator. And it becomes 1/2 when 1 is subtracted from both its numerator and denominator. Find the fraction.

Sita’s present age is (6/5) times of her age at the time of her marriage and she got married 6 years ago. Age of her son is (1/12) of her current age. Find the age of her son.