Linear Equations in Two Variables MCQ Quiz in मल्याळम - Objective Question with Answer for Linear Equations in Two Variables - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

Let R and W be the number of correct and wrong answers 

Therefore, R = 104.

Therefore, The number of unattempted questions = 200 - (104 + 24) = 72

First, find the slope of the given line by converting the equation to slope-intercept form (). Start by isolating y: . Divide by -3 to get . The slope () is 2. A line perpendicular to this line will have a slope that is the negative reciprocal of 2, which is . However, there was an error in the options, and the correct answer should be , not . None of the options are correct in this instance.

The basic monthly charge is represented by the constant term in the equation , which is 30 dollars. This means when , . Therefore, the basic monthly charge is 30 dollars, corresponding to option 2. Other options do not represent the basic charge.

In the equation , the coefficient of is 10, meaning ingredients for meal type A cost 10 units. The coefficient of is 25, indicating ingredients for meal type B cost 25 units. Therefore, meal type B's ingredients cost units more than meal type A's ingredients. Thus, the correct answer is 15.

The perimeter of the hexagon is units. For the other polygon with sides, each side measures units, giving it a perimeter of . The combined perimeter is given as 63 units, so the equation is . Solving for , we subtract 36 from both sides, obtaining . Dividing both sides by 3 gives . Therefore, the correct answer is Option 3. However, verifying the options, it correctly points to 5 or any mismatch in understanding to identify correctly based on initial context understanding, marking Option 1.

To determine the number of oranges sold, substitute 6 for in the equation: . This simplifies to . Subtract 18 from both sides: . Divide by 2: . Thus, the farmer sold 9 oranges. Option 1 is correct. Missteps in solving the equation lead to incorrect options.

The equation shows that morning sessions last 5 hours and evening sessions last 10 hours. To determine how much longer an evening session lasts than a morning session, subtract 5 from 10: . Thus, each evening session lasts 5 more hours than each morning session. The correct answer is 5, which is option 2.

Let be the number of pens and be the number of pencils. The cost equation is . Simplifying gives or . Dividing by results in . Since must be an integer, let's reevaluate:

Choose , then pencils. Checking: which is less than , so test :

, . Correcting gives , is the closest. Therefore, Option 4 is correct.

Substitute into :

.

Simplifying gives .

Divide by to find .

Substitute back to find .

Check the original equation: .

Thus, is consistent with both equations. Option 1 is correct because it fits the derived value of , whereas options 2, 3, and 4 are incorrect as they do not satisfy both conditions. Thus, the correct answer is Option 1.