ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 Unit vector in the positive direction of x-axis is
2 Free vector Null vector Unit vector None of these
3 The solution set of x < 4 is -<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 -<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 -<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 -<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
4 The graph of linear equation 2x + 3y = 10 Parabola Circle Hyperbola Straight line
5 Inequalities have ______ symbol 2 3 4 1
6 There may be ______ feasible solution in the feasible region Infinite Finite Defined None of above
7 Optimize means ______ a quantity under certain constraints Minimize Maximize Maximize or minimize None of these
8 s > t then (s - t)<sup>2</sup>&gt; (t - s)<sup>2</sup> (s - t)<sup>2</sup>&lt; (t - s)<sup>2</sup> (s - t)<sup>2</sup>= (t - s)<sup>2</sup> None
9 ab > 0 and a > 0 then a &gt; b a &lt; b a = b None
10 r + 3 >5 then which is true r + 2 &gt; 4 r + 2 &lt; 4 r + 2 = 4 None
11 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? x - y = -6 x - y &lt; -6 x - y &gt; -6 None
12 The total cost of 2 apples and 3 oranges is $1.70, which of the following is true The cost of one apple The cost of one orange Both have equal cost per item Cost of each single item can not be determined
13 p &lt; r p &gt; rr p + r &lt; 0 p - r &lt; 0
14 If -1 < x < 0, which of the following statements must be true? x &lt; x<sup>2</sup>&lt; x<sup>3</sup> x &lt; x<sup>3</sup>&lt; x<sup>2</sup> x<sup>2</sup>&lt; x<sup>3</sup>&lt; x x<sup>2</sup>&lt; x &lt; x<sup>3</sup>
15 For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3? (3, 2) (2, 3) (1, 8) (0, 3)
16 Which is in the solution set of 4x - 3y < 2 (3, 0) (4, 1) (1, 3) None
17 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 P(x, y) = 20x + 15y P(x, y) = 2x + 3y P(x, y) = x + y P(x, y) = 3x + 2y
18 A point of a solution region where two of its boundary lines intersect, is called Boundary Inequality Half plane Vertex
19 Which is not a half plane ax + by &lt; c ax + by &gt; c Both A and B None
20 If 4 - x >5, then x &gt; 1 x &gt; -1 x &lt; 1 x &lt; -1
21 If ab > 0 and a < 0, which of the following is negative? b -b -a (a - b)<sup>2</sup>
22 If x < y, 2x = A, and 2y = B, then A = B A &lt; B A &lt; x B &lt; y
23 Which of the following integrals can be evaluated
24
25 <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, 224);"><i>π</i></span> <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, 224);"><i>π/6</i></span> -<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, 224);"><i>π/2</i></span> 2<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, 224);"><i>π</i></span>
26 0 1 2 4
27 Always negative Zero Always positive Infinity
28 If the graph of f is entirely below the x-axis, then the value of definite integral is = 0 &lt; 0 &gt; 0 None
29 If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a Constant function Variable value Function of upper limit All
30 The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called Boundaries Variable separable Initial values None
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