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CUET General Test 2026 PYQs12 May Shift 2. Free, no login required.

Quantitative Reasoning

past year questions, CUET General Test 2026 12 May Shift 2

Linear Equation

past year questions, Quantitative Reasoning, CUET General Test 2026 12 May Shift 2

Easy

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:

Solution

✅ Correct Option: 4

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

(A) 23=23=1015\frac{2}{3}=\frac{2}{3}=\frac{10}{15}, so all three ratios are equal: consistent with infinite solutions.

(B) 12=12≠718\frac{1}{2}=\frac{1}{2}\neq\frac{7}{18}: inconsistent.

(C) 15=15≠1512\frac{1}{5}=\frac{1}{5}\neq\frac{15}{12}: inconsistent.

(D) 12=12≠38\frac{1}{2}=\frac{1}{2}\neq\frac{3}{8}: inconsistent.

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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?

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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?

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The total age of P and Q is 18 years more than the total age of Q and R. R is how many years younger than P ?

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Match List I with List II

LIST I (Equations)LIST II (Solutions)
A.2x−4=2−x2x - 4 = 2 - xI.x=3x = 3
B.7−4x=07 - 4x = 0II.x=2x = 2
C.x2−3=0\frac{x}{2} - 3 = 0III.x=74x = \frac{7}{4}
D.2x+3=x+62x + 3 = x + 6IV.x=6x = 6

Choose the correct answer from the options given below:

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