ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• 2π B
• π/2 C
• None of these D

• image A
• pre-image B
• constant C
• none of these D

• 2 A
• 
  B
• -2 C
• none of these D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 2 A
• 1 B
• 5 C
• 0 D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

• x = f(y) A
• y = f(x) B
• x = f(x) C
• y = f(y) D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 0 A
• 3 B
• 9 C
• -3 D

• -2 A
• -1 B
• 1 C
• 2 D

f(x) = 3x⁴ -2x² + 7 is:

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