[{"id":158649,"question":"The graph of y&gt; 0 is the upper - half of:","choices":[{"text":"y-axis","value":"A"},{"text":"x-axis","value":"B"},{"text":"1st and 4th quandrant","value":"C"},{"text":"2nd and 3rd quadrant","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158648,"question":"The corner point of the boundary lines, x- 2x<div>x+2y=10 is:</div>","choices":[{"text":"(8,1)","value":"A"},{"text":"(1,8)","value":"B"},{"text":"(6,10)","value":"C"},{"text":"(3,5)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158647,"question":"The corner point of the boundary lines, x-2y<div>2x + y = 2 is:</div>","choices":[{"text":"(2,6)","value":"A"},{"text":"(6,2)","value":"B"},{"text":"(-2,2)","value":"C"},{"text":"(2,-2)","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158645,"question":"A point of a solution regions where two of its boundary lines intersect, is called:","choices":[{"text":"Vertex of the solution","value":"A"},{"text":"Feasible point","value":"B"},{"text":"Point of inequality","value":"C"},{"text":"Null point of the solution region","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158643,"question":"For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:","choices":[{"text":"&gt; or &lt;","value":"A"},{"text":"<u>&gt;</u> or <u>&lt;</u>","value":"B"},{"text":"= or≠","value":"C"},{"text":"= or &gt;","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158641,"question":"Which of the following ordered pair is a solution of the inequality x+2y&lt;6?","choices":[{"text":"(2,3)","value":"A"},{"text":"(2,2)","value":"B"},{"text":"(6,0)","value":"C"},{"text":"(1,1)","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158639,"question":"The liner equation ax + by = c is called _________ of the inequality ax +by &gt; c.","choices":[{"text":"Associated equation","value":"A"},{"text":"Non-associated equation","value":"B"},{"text":"disjoint equation","value":"C"},{"text":"Feasible equation","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158638,"question":"A ________ divides the plane into left and right half planes.","choices":[{"text":"Vertical line","value":"A"},{"text":"Horizontal line","value":"B"},{"text":"Non vertical line","value":"C"},{"text":"Inequality","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158637,"question":"The set of ordered pairs (x,y) such that ax+ by &lt; c, and (x,y) such that ax + by&gt;0, are called","choices":[{"text":"Half planes","value":"A"},{"text":"Boundary","value":"B"},{"text":"Linear Inequalities","value":"C"},{"text":"Feasible regions","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158633,"question":"The graph of the linear equation of the form ax =by = c is a line which divided the plane into:","choices":[{"text":"Two similar regions","value":"A"},{"text":"Two disjoint regions","value":"B"},{"text":"Four equal parts","value":"C"},{"text":"One region","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158631,"question":"Multiplying each side of an inequality by (-1) will:","choices":[{"text":"Not effect","value":"A"},{"text":"Change the sign","value":"B"},{"text":"Become zero","value":"C"},{"text":"Not defined","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158629,"question":"Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:","choices":[{"text":"Zero","value":"A"},{"text":"one","value":"B"},{"text":"negative constant","value":"C"},{"text":"Non negative constant","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125216,"question":"The solution set of x &lt; 4 is","choices":[{"text":"-<span style=\"color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);\"><i>∞</i></span>&lt; x &lt; 4","value":"A"},{"text":"-<span style=\"font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);\"><i>∞</i></span>&gt; x &gt; 4","value":"B"},{"text":"-<span style=\"font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);\"><i>∞</i></span>&lt; x &lt; 2","value":"C"},{"text":"-<span style=\"font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);\"><i>∞</i></span>&gt; x &gt; 2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":125212,"question":"The graph of linear equation 2x + 3y = 10","choices":[{"text":"Parabola","value":"A"},{"text":"Circle","value":"B"},{"text":"Hyperbola","value":"C"},{"text":"Straight line","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":125210,"question":"Inequalities have ______ symbol","choices":[{"text":"2","value":"A"},{"text":"3","value":"B"},{"text":"4","value":"C"},{"text":"1","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125209,"question":"There may be ______ feasible solution in the feasible region","choices":[{"text":"Infinite","value":"A"},{"text":"Finite","value":"B"},{"text":"Defined","value":"C"},{"text":"None of above","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":125207,"question":"Optimize means ______ a quantity under certain constraints","choices":[{"text":"Minimize","value":"A"},{"text":"Maximize","value":"B"},{"text":"Maximize or minimize","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":125205,"question":"s &gt; t then","choices":[{"text":"(s - t)<sup>2</sup>&gt; (t - s)<sup>2</sup>","value":"A"},{"text":"(s - t)<sup>2</sup>&lt; (t - s)<sup>2</sup>","value":"B"},{"text":"(s - t)<sup>2</sup>= (t - s)<sup>2</sup>","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":125202,"question":"ab &gt; 0 and a &gt; 0 then","choices":[{"text":"a &gt; b","value":"A"},{"text":"a &lt; b","value":"B"},{"text":"a = b","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":125201,"question":"r + 3 &gt;5 then which is true","choices":[{"text":"r + 2 &gt; 4","value":"A"},{"text":"r + 2 &lt; 4","value":"B"},{"text":"r + 2 = 4","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":125200,"question":"x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?","choices":[{"text":"x - y = -6","value":"A"},{"text":"x - y &lt; -6","value":"B"},{"text":"x - y &gt; -6","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125199,"question":"The total cost of 2 apples and 3 oranges is $1.70, which of the following is true","choices":[{"text":"The cost of one apple","value":"A"},{"text":"The cost of one orange","value":"B"},{"text":"Both have equal cost per item","value":"C"},{"text":"Cost of each single item can not be determined","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":125197,"question":"","questionImage":"125197_636353888168131509-RQ.jpg","choices":[{"text":"p &lt; r","value":"A"},{"text":"p &gt; rr","value":"B"},{"text":"p + r &lt; 0","value":"C"},{"text":"p - r &lt; 0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":125194,"question":"If -1 &lt; x &lt; 0, which of the following statements must be true?","choices":[{"text":"x &lt; x<sup>2</sup>&lt; x<sup>3</sup>","value":"A"},{"text":"x &lt; x<sup>3</sup>&lt; x<sup>2</sup>","value":"B"},{"text":"x<sup>2</sup>&lt; x<sup>3</sup>&lt; x","value":"C"},{"text":"x<sup>2</sup>&lt; x &lt; x<sup>3</sup>","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":125191,"question":"For which of the following ordered pairs (s, t) is s + t &gt; 2 and s - t &lt; -3?","choices":[{"text":"(3, 2)","value":"A"},{"text":"(2, 3)","value":"B"},{"text":"(1, 8)","value":"C"},{"text":"(0, 3)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125189,"question":"Which is in the solution set of 4x - 3y &lt; 2","choices":[{"text":"(3, 0)","value":"A"},{"text":"(4, 1)","value":"B"},{"text":"(1, 3)","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125187,"question":"A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is","choices":[{"text":"P(x, y) = 20x + 15y","value":"A"},{"text":"P(x, y) = 2x + 3y","value":"B"},{"text":"P(x, y) = x + y","value":"C"},{"text":"P(x, y) = 3x + 2y","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":125184,"question":"A point of a solution region where two of its boundary lines intersect, is called","choices":[{"text":"Boundary","value":"A"},{"text":"Inequality","value":"B"},{"text":"Half plane","value":"C"},{"text":"Vertex","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":125183,"question":"Which is not a half plane","choices":[{"text":"ax + by &lt; c","value":"A"},{"text":"ax + by &gt; c","value":"B"},{"text":"Both A and B","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":125182,"question":"If 4 - x &gt;5, then","choices":[{"text":"x &gt; 1","value":"A"},{"text":"x &gt; -1","value":"B"},{"text":"x &lt; 1","value":"C"},{"text":"x &lt; -1","value":"D"},{"value":"E"}],"correctAnswer":4}]