ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The null vector is regarded to be perpendicular to Every vector In some cases Both a b None
2 For two vector a and b, a+b = _______ a b b+a b-a None
3 The point (1,3) is one solution of 3x + 5y > 29 3x + 5y < 7 x + 2y < 4 x + 4y > 3
4 Optimal solution is found by evaluation the objective function at All point of feasible region Corner point Origin None
5 A function which is to be maximized or minimized is called an Explicit function Implicit function Objective function None
6 Each point of the feasible region is called Solution feasible solution Both a & b None
7 A point (x,y) which satisfy a linear inequality in two variables form its Solution Domain Range None
8 If |αi + (α+1)j +2k| =3 then value of α is 1,2 -1,-2 1,-2 -1,2
9 [i,j,k] 0 2 1 -2
10 If a,b c are sides of a triangle taken in order then a x b = b x c b x a cxa Both a & b
11 The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C 1,2 -1,-2 2,-1 -2,1
12 If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length |u+v| |u|+|v| |u-v| |u|-|v|
13 If a,b,c are unit vectors then |a + b|2 +|a - b|2 4 8ab 9cos 4(a,b)
14 A point where two of its boundary lines intersect is called Corner point Feasible point Vertex Feasible solution
15 Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0 (1,4) (4,2) (3,1) (4,1)
16 Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0 (1,0) (0,4) (3,0) (8,0)
17 Sum of two quantities is at least 20 is denoted by x +y =20 x +y≥ 20 x +y≠ 20 x +y≤20
18 Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by 46 60 50 70
19 The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is 120 100 140 160
20 If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is 5 Equal to the moment of the force about origin 0 Cannot be found
21 u,v,wand u x (v.w) are Equal Parallel Additive immense of each other Meaningless
22 If uv= Projuv then Uandvare parallel vis a unit vector Uis a unit vector Both b and c
23 If Projvu = Projuv, then Uand vare parallel |u|=|v| Uandvre perpendicular One ofuorv
24 The feasible region which can be enclosed within a circle is called Bounded region Convex region Unbounded region None
25 The graph of y < 2 is the Left half plane upper half plane Right half plane Lower half plane
26 The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is 36 square units 3 square units 6 square units 18 square units
27 The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is (0,0) (1,1) (2,2) (3,3)
28 The process of finding a function whose derivative is given is called a Differentiation Integration Differential None
29 The set of all antiderivaties of f(= ∫f(x)dx) is the Definite integral Indefinite integral Integral Area
30 The function ø(x) is ananti derivativeof function f (x),x∈Df if ø′(x) =∫f(x)dx ø(x) =∫f(x)dx ø′(x) =f(x) ø(x) =∫′(x)dx
Download This Set

Is this page helpful?