CUET General Test: Quantitative ReasoningLinear Equation. Free, no login required.

The system of equations $4x + 14y = 18$ and $6x + 21y = 33$ has

Which of the following pair of linear equations is inconsistent?

(A) x - y = 5; 3x - 3y = 10

(B) 2x + 3y = 4; 4x + 6y = 8

(C) 9x + 6y = 6; 3x + 2y = 3

(D) 2x + 5y = 2; 6x - 15y = 4

Choose the correct answer from the options given below:

The present ratio of ages of P and Q is 2:7. Six years ago, this ratio was 1:5. Determine the present age of P?

The graphs of px + qy = r, mx + ny = s will be

(A) intersecting, if the system has only one solution.

(B) overlapping, if the system has a finite number of solutions.

(C) parallel, if the system has infinite solutions

Which of the statements below is/are incorrect?

Find the value of p for which the lines, $px + 3y + 5 = 0$ and $8x + 2y - 3 = 0$ are parallel.

The pair of linear equations mx + 2y + 3 = 0 and 3x + 6y + 2 = 0 intersect each other, if

For what value of k, the system of equations $3x - ky - 3 = 0$ and $2x - 3y - 4 = 0$ has no solution?

Seven chairs and three tables together cost ₹ 7400, three chairs and five tables together cost ₹ 5400. The total cost (in ₹) of 1 chair and 2 tables is:

The intersection point on the Y- axis of $5x - 3y = 9$ is

The equations: x + 4y - 3 = 0 and 2x + 8y - 6 = 0 have

The value of k, for which the system of equations 3x-ky-20 = 0, and 6x-10y+40 = 0 has no solution, is:

If 2x + 3y - 8 = 0 and 3x - 2y - 12 = 0, then $4x^2 + y^2 - 4x$ is equal to:

If $2^{(x+y)} = 64$ and $128^{(x-y)} = 2$, then what is the value of x?

In an examination which had 200 questions, students score 4 marks for every correct answer and lose 1 mark for every wrong answer.

A student attempted all the 200 questions and scored 200 marks. The number of questions, student answered correctly in the examination, is:

If $6x - 10y = 10$ and $\frac{x}{x+y} = \frac{5}{7}$, then (x-y) is equal to:

In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.

The sum of digits of a two-digit number is 14 and the difference between the two digits of the number is 2. The product of the two digits of the number is:

If 2x + 3y = 26 and y - x = 2, then the value of x + y is:

The pair of linear equations $kx + 3y + 1 = 0$ and $2x + y + 3 = 0$ intersect each other, if

Reena is twice as old as Sunita. Three years ago, Reena was three times as old as Sunita. What is present age of Reena?

The graphs of ax+by = c and dx+ey = f will be:

(A) parallel, if the system has no solution.

(B) coincident, if the system has finite numbers of solutions.

(C) intersecting, if the system has only one solution.

Which of the above statements is/ are correct?

Choose the correct answer from the options given below:

Two water pipelines are represented by the equations $kx + 3y +1 = 0$ and $2x + y + 3 = 0$. For what value of k, the pipelines cross each other?

The present age of a father is 4 years more than double the age of his son. After 10 years, the father's age is 30 years more than his son. Then the present age of father is:

The present age of Harish is 8 times the sum of the ages of his two sons at present. After 8 years, his age will be 2 times the sum of the ages of his two sons. The present age of Harish (in years) is:

For which value of the k, the pair of linear equations has no solution

$6x - 3y + 10 = 0$ and $kx - y + 9 = 0$ :

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

The difference between two numbers is 4 and there average is 6. The product of these numbers is:

The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:

In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its digits. Find the original number.

Linear equations $3x + 5y = 19$ and $10x - 3y = 24$ have solution $x = \frac{\alpha}{3}$ and $y = \frac{\beta}{2}$, then the value of $\alpha + \beta$ is: