Quantitative Reasoning

Linear Equation

Easy

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

✅ Correct Option: 3

Let the two numbers be $x$ and $y$ . Given $x - y = 4$ and $(x+y)/2 = 6$ , so $x + y = 12$ . Solving, $x = 8$ and $y = 4$ . Product $= 8 \times 4 = 32$ .

2025: 19 May Shift 1

If 2x + 3y = 26 and y - x = 2, then the value of x + y is:

2025: 27 May Shift 2

The pair of linear equations mx + 2y + 3 = 0 and 3x + 6y + 2 = 0 intersect each other, if

2025: 19 May Shift 2

In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.

2022: 24 Aug Shift 1

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 ?

2026: 25 May Shift 1

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

2023: 30 May Shift 3

An equation of the type $y = kx$ (k $\neq$ 0) represents a line :

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

Solution

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