ECAT Pre General Science Mathematics Online Test

• 
  A
• 
  B
• 
  C
• 
  D

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

• 1/18 A
• 1/12 B
• 1/36 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

The value of x and y when (x + iy)2 = 5 - 4i

• x = 2, y = -1 A
• x = -2, y = 1 B
• x = 2, y = -i C
• x = 2, y = 2 D

The point of concurrency of the angle bisectors of a triangle is called

• incentre A
• circumcentre B
• e-centre C
• centroid D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible D

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of x < 4 is

• -∞< x < 4 A
• -∞> x > 4 B
• -∞< x < 2 C
• -∞> x > 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

• 4 A
• 64 B
• 8 C
• All values of k D

In-radius is denoted by

• r A
• η B
• r2 C
• R D

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

• 40 A
• 30 B
• 50 C
• 60 D

• 0 A
• 1 B
• 
  C
• -1 D

Range of 3 sin x is ______

• [ -3, 3] A
• [-1, 1] B
• R C
• None of these D

For the parabola the line through focus and perpendicular to the directrix is called

• Tangent A
• Vertex B
• Axis C
• None D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

If the sum of even coefficients in the expansion of (1+x)n is 128 then

• n=7 A
• n=9 B
• n=8 C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

• 3 A
• 6 B
• 0 C
• None of these D

6 is

• A prime integer A
• An irrational number B
• A rational number C
• An odd integer D

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

• 
  A
• 
  B
• 
  C
• 
  D

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

• C²=λ(A²+ B²) A
• A²=λ(A²+ C²) B
• B²=λ(A²+ C²) C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

• 1 A
• 5 B
• 7 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

• Interesect A
• touch externally B
• touch internally C
• do not touch D

• 
  A
• 
  B
• 
  C
• 
  D