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

Which of the following pair of linear equations is / are 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:

Which one of the following pair of linear equations is/are inconsistent?

A. x – y = 8, 6x – 6y = 32

B. x + y = 5, 4x + 4y = 20

C. 4x– 6y = 16, 8x – 12y = 18

D. 4x – 4y – 4 = 0, 8x – 8y – 10 = 0

Choose the correct answer from the options given below:

Which of the following pair of linear equations has / have many infinite solutions?

A. $9x + 3y + 12 = 0$; and $18x + 6y + 24 = 0$

B. $2x - 3y = 13$; and $7x - 2y = 20$

C. $x + y = 5$; and $2x + 2y = 10$

D. $3x + y - 3 = 0$; and $2x + \dfrac{2}{3}y = 2$

Choose the correct answer from the options given below:

Two lines x + y = 8 and 3x + y = 14 meet at the point:

The pair of equations x + 2y - 4 = 0 and 2x + 4y - 12 = 0 represents two lines, which are ?

Laxmi's father is 51 years old. He is three years older than three times Laxmi's age. The age of Laxmi is :

System of linear equations 2x + 4y +1 = 0 and 4x + 8y + 2 = 0 has/ have :

In the following system of linear equations $7x - 15y = 2$ and $x + 2y = 3$, the value of x and y is:

Which of the following pairs of linear equations is/are inconsistent?

A. $x - y = 8; 3x - 3y = 16$

B. $3x + 2y = 5; 2x - 3y = 7.$

C. $2x - 2y - 2 = 0; 4x - 4y - 5 = 0.$

D. $2x - 3y = 8; 4x - 6y - 5 = 9$

If 2x + 3y = 18 and y = 2, then the value of x is:

Which of the following pair of linear equations has no solution?

(A) $2x + 3y - 1 = 0$ and $4x + 6y - 4 = 0$

(B) $x - 2y = 0$ and $3x + 4y - 20 = 0$

(C) $x + 2y - 3 = 0$ and $5x + 10y + 7 = 0$

(D) $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$

Choose the correct answer from the options given below:

Which one of the following pair of linear equations is/are inconsistent?

A. x − y = 6, x − y = 13

B. 2x − 10y = 15, 7x − 35y =25

C. x − y = 15, 5x - 5y = 75

D. 7x − 9y − 3 = 0, 14x − 18y − 8 = 0

Choose the correct answer from the options given below:

Which one of the following pairs of linear equations is/are inconsistent?

(A) 7 x + 2 y = 3, 14 x + 4 y = 5

(B) 2 x - 3 y = 7, 4 x - 6 y = 12

(C) x - y = 10, 3 x - 3 y = 16

(D) 2 x - 2 y = 2, 4 x - 4 y = 5

Choose the correct answer from the options given below:

The distance between origin and the point of intersection of lines x + y – 5 = 0 and x – y + 1 = 0, is:

Which of the following pairs of linear equations is/are consistent?

A. x + y – 5 = 0, 3x + 2y – 10 = 0

B. 3x – 2y – 6 = 0, 6x – 4y – 12 = 0

C. x – y – 9 = 0, 3x – 3y – 27 = 0

D. x + y – 4 = 0 , 3x + 3y – 12 = 0

Choose the correct option from the given below:

One says, "Give me a hundred rupees, friend! I shall then become twice as rich as you." The other replies, "If you give me ten rupees, I shall be six times as rich as you." What is the amount of their (respective) capital?

Five years ago, Sanjana was thrice as old as Sanjay. Ten years later, Sanjana will be twice as old as Sanjay. The age of Sanjay and Sanjana are respectively

A. 20

B. 30

C. 40

D. 50

Choose the correct answer from the options given below:

Solve for $x$, if $4(x + 1) - 3(2x - 1) = x + 7$

Which of the following pairs of linear equations is/are consistent?

A. $x + y = 5, 2x + 2y = 10$

B. $2x + y - 6 = 0, 4x - 2y - 4 = 0$

C. $x - y = 8, 3x - 3y = 16$

D. $x - 2y = 0, 3x + 4y - 20 = 0$

Choose the correct answer from the options given below:

Which one of the following pairs of linear equations is/are inconsistent?

(A). $7x + y = 5, 14x + 2y = 10$

(B). $2x - 3y = 7, 4x - 6y = 12$

(C). $x - y = 10, 3x - 3y = 16$

(D). $2x - 2y - 2 = 0, 4x - 4y - 5 = 0$

Choose the correct option from the given below:

Solve the linear equation for $x$:

$3x - 7 = 2x + 5$

The system of linear equations x + y + 1 = 0 and 2x + 2y + 7 = 0 has:

Which one of the following pair of linear equations is/are inconsistent?

(A) 2x – 2y = 10, 3x – 3y = 15

(B) 3x – y = 7, 6x – 2y = 18

(C) x – y =15, 5x – 5y = 12

(D) 7x – 3y = 3, 14x – 6y = 8

Choose the correct answer from the options given below:

The system of linear equations 3x + y + 4 = 0 and 2x + y + 9 = 0 has:

Read the information given below carefully and answer the question that follows:

Aditi, a salesgirl is appointed at a basic salary of ₹ 1200 per month. The condition of employment further stated that for every sale of ₹ 10000 or above she does, she will get 50 % of basic salary and 10 % of the sales as special incentive. However, this incentive scheme shall not work on the first ₹ 10000 of sales made. What should be the value of sales if Aditi wants to earn ₹ 7600 in a particular month?

Which one of the following pairs of linear equations has/ have infinite many solutions?

(A) $9x + 3y + 12 = 0$, and $18x + 6y + 24 = 0$

(B) $2x - 3y = 13$, and $7x - 2y = 20$

(C) $x + y = 5$, $2x + 2y = 10$

(D) $3x + y - 3 = 0$ and $2x + \frac{2}{3}y = 2$

Choose the correct answer from the options given below:

Read the information given below carefully and answer the question that follows:

Question: How much does Ajay pay to his driver every month as Salary?

Statements:

i. Rakesh pays 20% more per month, to his driver than Ajay as Rakesh's driver has a 15 year experience. Moreover, Ajay pays 30% more per month than Karan as Karan's driver has mere 5 years of experience.

ii. As Karan would avail 10% discount on drivers's salary by paying for 6 months in advance, Karan paid his driver Rs 54000 for 6 months in advance.

Determine which of the following is True in order to solve the asked question?

Rita purchased 9 pens and 7 pencils for ₹ 66. Megha also bought 5 pens and 11 pencils of the same kind for ₹ 58. What is the cost of 3 pencils?

If on dividing 26 into two parts, we find that three times the first and seven times the second part together equals to 122. Then, the ratio of first and second part shall be:

For what value of k, the system of equations $kx + 4y - k + 4 = 0$ and $16x + ky = k$ has an infinite number of solutions?