Aptitude Tests 4 Me

Basic Numeracy/Quantitative Aptitude

Detailed Solution

73. c: Given the equation
2x - 4y = 9 i. To find the x intercept we set y = 0 and solve for x. 2x - 0 = 9 2. Solve for x. x = 9 / 2 3. The x intercept is at the point (9/2 , 0).

74. c: Given the function
f(x) = 6x + 1
i. f(2) - f(1) is given by
f(2) - f(1) = (6*2 + 1) - (6*1 + 1) = 6

75. b: Given the points (-1, -1) and (2 , 2), the slope m is given by
m = (y2 - y1) / (x2 - x1) = (2 - -1) / (2 - -1) = 1

76. c: Given the line
5x - 5y = 7
Rewrite the equation in slope intercept form y = mx + b and identify the value of m the slope.
-5y = -5x + 7
y = x - 7/5
The slope is given by the coefficient of x which is 1.

77. c: To find the equation of the line through the points (-1 , -1) and (-1 , 2), we first use the slope m.
m = (y2 - y1) / (x2 - x1) = (2 - -1) / (-1 - -1) = 3 / 0
The slope is indefined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since both points have equal x coordinates -1, the equation is given by: x = -1

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