ECAT Pre General Science MCQ Test With Answer for Mathematics Full Book

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

• 
  A
• 
  B
• 
  C
• none of these D

• A = C A
• A = B B
• B = C C
• None of these D

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

• 1/2 A
• 2/3 B
• 1/3 C
• 2/5 D

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

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

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

• {-1} A
• {-3/5} B
• Empty set C
• {-1/3} D

• 
  A
• 
  B
• 
  C
• 
  D

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is

• an ellipse A
• a circle B
• a hyperbola C
• a parabola D

• 1.5 A
• 1.2 B
• 8 C
• None of these D

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

• Positive A
• Negative B
• Real C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

A circle passing through the vertices of any triangle is called

• Circumcirle A
• Incircle B
• Escribed circle C
• Unit circle D

For reasoning, we have to use

• implication A
• conjunction B
• induction C
• proposition D

If G is a G.M between a and b then a,G,b are in

• A.P A
• H.P B
• G.P C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

• 
  A
• 
  B
• 
  C
• 
  D

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

3x + 4 < 0 is

• inequality A
• equation B
• identity C
• not inequality D

A function∫ will have an inverse function if and only if it is a

• onto function A
• into function B
• Constant C
• one-one function D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

• 
  A
• 
  B
• 
  C
• 
  D

n(n-1)(2n-1), for all natural numbers n, is divisible by

• 12 A
• 6 B
• 2 C
• 18 D

An equation which holds good for all values of variables is called

• Equation A
• Conditional equation B
• Constant C
• None D