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CUET General Test 2026 PYQs21 May Shift 2. Free, no login required.

Quantitative Reasoning

past year questions, CUET General Test 2026 21 May Shift 2

Linear Equation

past year questions, Quantitative Reasoning, CUET General Test 2026 21 May Shift 2

Medium

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:

Solution

✅ Correct Option: 3

A pair is inconsistent when a1a2=b1b2≠c1c2\frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \frac{c_1}{c_2}.

A: same left side but different constants, so inconsistent. B: 27=1035\frac27 = \frac{10}{35} but 1525\frac{15}{25} differs, inconsistent. D: 714=918=12≠38\frac{7}{14} = \frac{9}{18} = \frac12 \ne \frac38, inconsistent.

C gives identical lines (5x−5y=755x-5y=75 is x−y=15x-y=15), so it is consistent. Hence A, B and D.

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