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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

• 0 A
• -2 B
• 1 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  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

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

f(x) = 1 is

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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• One-to-one and onto A
• One-to-one but not on to B
• Onto but not one-to-one C
• Neither one-to-one nor onto D

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

• 2 A
• 
  B
• -2 C
• none of these D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

• 2 A
• -1 B
• 8 C
• not defined D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these 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