ECAT Mathematics MCQ's Test For Full Book

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

For n€ N,2^n>2 > n is to only when

• n<2 A
• n≤ 4 B
• n≥ 4 C

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

The first three terms in the expansion of (1 - x)^-3are

• 1 + 3x + 6x² A
• 1 - 3x + 6x² B
• -3 - 3x - 6x² C
• 1 - 3x - 6x² D

• a cosec(ax + b) + c A
• - a cosec(ax + b) + c B
• 
  C
• 
  D

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

The period of cos(7x-5) is

• π/7 A
• 7π/2 B
• π/2 C
• 2π/7 D

• 1 A
• 0 B
• 
  C
• 
  D

-p is the

• Implication of p A
• disjunction of p B
• negation of p C
• conjunction of p D

• a = a A
• a < a B
• a > a C
• a²= a D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point, h vertically above the firs, the angle of depression of the foot of the tower, is 60°. The height of the tower is

• h/3 A
• h/3d B
• 3h C
• 3h / d D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

• 
  A
• 
  B
• 
  C
• 
  D

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

The differential equations of all conis whose axes coincide with the co-ordinate axis is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a, b, c are the measures of the sides of a triangle then

• 
  A
• 
  B
• 
  C
• 
  D

Bisectors of angles of a triangle are:

• Collinear A
• Concurrent B
• Perpendicular C
• zero D

f(x) = 3x/x² + 1 is:

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

d/dx(x³ + 2x +3)=

• x² + 2 A
• 3x + 2 B
• 3x² + 5 C
• 3x2 + 2 D

ax + by < c is linear inequality in

• four variables A
• three variables B
• two variables C
• one variable D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 295 A
• 495 B
• 395 C
• 722 D

If 4 - x >5, then

• x > 1 A
• x > -1 B
• x < 1 C
• x < -1 D