Quantitative Reasoning

Linear Equation

Medium

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:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

✅ Correct Option: 3

A pair is inconsistent when $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ .

(A) $\frac{7}{14} = \frac{2}{4} = \frac12 \neq \frac35$ . (B) $\frac12 = \frac12 \neq \frac{7}{12}$ . (C) $\frac13 = \frac13 \neq \frac{10}{16}$ . (D) $\frac12 = \frac12 \neq \frac25$ .

All four pairs satisfy the condition, so all are inconsistent.

2026: 29 May Shift 1

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

2026: 20 May Shift 2

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:

2023: 11 June Shift 2

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

2022: 6 Aug Shift 1

The value of x in the equation $2x - 3 = 7 - 3x$

2025: 28 May Shift 2

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.

Which of the statements below is/are incorrect?

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:

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:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

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: