Quantitative Reasoning

Linear Equation

Medium

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:

A and B only

A, C and D only

B, A and C only

A and D only

✅ Correct Option: 2

A pair is inconsistent when $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ . In A, $x-y=8$ but the second gives $x-y=\frac{16}{3}$ . In C, $4x-6y=16$ but the second gives $4x-6y=9$ . In D, $x-y=1$ but the second gives $x-y=1.25$ . In B both reduce to $x+y=5$ , so it is consistent with infinite solutions. Hence A, C and D.

2023: 24 May Shift 3

Match List - I with List - II.

List - I	List - II
(1) $14 - \frac{1}{10}(x+3) = \frac{5}{6}x$	(I) 4
(2) $(x-5)^2 - (x+3)^2 = 48$	(II) $-\frac{23}{2}$
(3) $6(x-4) = 4(x-3) - (3x-8)$	(III) 61
(4) $(2x-1)(2x+3) = (2x-7)(2x+7)$	(IV) $-2$

Choose the correct answer from the options given below:

2026: 6 June Shift 1

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

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

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

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

Choose the correct answer from the options given below:

2025: 27 May Shift 1

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

2026: 22 May Shift 2

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 $3x + 4y - 20 = 0$

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

Choose the correct answer from the options given below:

2025: 14 May Shift 2

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.

Which of the above statements is/ are correct?

Choose the correct answer from the options given below:

2026: 26 May Shift 1

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

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:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

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: