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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

If f(x) = cos x then f(0) is

• 0 A
• 1 B
• 1/2 C
• 
  D

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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• -4 B
• 
  C
• none of these D

A function from X to Y is written as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

• quadratic function A
• constant function B
• linear function C
• exponential function D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

• 2 A
• 4 B
• 8 C
• 12 D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• quadratic function A
• constant function B
• trigonometric function C
• linear function D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 0 A
• -2 B
• 1 C
• 4 D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

• 0 A
• 1 B
• 
  C
• none of these D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D