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SSC CGL Graphs of Linear Equations — practice questions — page 2

Explore 47 free Graphs of Linear Equations questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Graphs of Linear Equations questions and exercises with answers

Showing questions 31–47 of 47.

The lines x + 2y = 8 and 2x + 4y = 16 willRead the answer and worked solution →A line meets the axes at (3, 0) and (0, -4). Its slope isRead the answer and worked solution →A cab fare is y = 40 + 12x rupees for x km. What does 12 represent?Read the answer and worked solution →A taxi charges Rs 40 fixed plus Rs 12 per km. Fare for 7 km isRead the answer and worked solution →Fahrenheit F = (9/5)C + 32. Its slope when F is plotted against C isRead the answer and worked solution →Using F = (9/5)C + 32, water boiling at 100 degrees C reads what in F?Read the answer and worked solution →A line has x-intercept 4 and slope 2. Its y-intercept isRead the answer and worked solution →A 30 cm candle burns down 2 cm every hour. In how many hours does it burn out?Read the answer and worked solution →If 2x - 3y = 6, the value of y when x = 0 isRead the answer and worked solution →A line passes through (1, 2) and (-1, -2). It also passes throughRead the answer and worked solution →In y = mx + c, the constant c is called theRead the answer and worked solution →A road rises 5 units for every 2 units moved horizontally. Its slope isRead the answer and worked solution →Savings are Rs 500 plus Rs 50 added each week. When do they reach Rs 1500?Read the answer and worked solution →A line through the origin passes through (3, 4). Its x value at y = 8 isRead the answer and worked solution →If the line y = mx passes through (4, 12), then m equalsRead the answer and worked solution →Which of these is not a linear equation in x and y?Read the answer and worked solution →For ax + by + c = 0 to be a line, the coefficients a and b cannot beRead the answer and worked solution →

Worked practice questions

The lines x + 2y = 8 and 2x + 4y = 16 will

  1. cross at one point
  2. cross at right angles
  3. run parallel apart
  4. overlap completely
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Correct answer: D. overlap completely

The second equation is exactly twice the first, so both describe one and the same line.

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A line meets the axes at (3, 0) and (0, -4). Its slope is

  1. -4/3
  2. 3/4
  3. 4/3
  4. -3/4
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Correct answer: C. 4/3

Rise from (3, 0) to (0, -4) is -4 over a run of -3, giving 4/3.

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A cab fare is y = 40 + 12x rupees for x km. What does 12 represent?

  1. the distance covered
  2. the total fare
  3. charge per kilometre
  4. the fixed charge
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Correct answer: C. charge per kilometre

The coefficient of x is the slope, the extra fare for each additional kilometre.

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More Quantitative Aptitude topics

Profit and LossSquare RootsTime, Speed and DistanceTime and WorkRatio and ProportionTriangle CenterPercentageSimple & Compound Interest