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

probability of a certain event is

• 0 A
• -1 B
• 1 C
• ∞ D

• 0 A
• -4 B
• 
  C
• none of these D

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

• Breadth of the river is twice the height of the tower A
• Breadth of the river an the height of the tower are the same B
• Breadth of the river is half of the height of the tower C
• None of these D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

• 0 A
• 5 B
• 6 C
• 10 D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

• Order A
• Degree B
• Variables C
• All are correct D

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

• b²- 4ac < 0 A
• b²- 4ac = 0 B
• b²- 4ac > 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 D

If order of A is m x n, then order of A^tis

• m x m A
• n x n B
• m x n C
• n x m D

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

• A.M A
• A.P B
• G.P C
• G.M D

• 
  A
• 
  B
• 
  C
• 
  D

A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point, h vertically above the firs, the angle of depression of the foot of the tower, is 60°. The height of the tower is

• h/3 A
• h/3d B
• 3h C
• 3h / d D

• 2 A
• 
  B
• 
  C
• 0 D

Z is a group under

• Subtraction A
• Multiplication B
• Addition C
• None of these D

The position vector of a point (x, y) in xy plane is

• 
  A
• 
  B
• 
  C
• none of these D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

• 1700 A
• 17023 B
• 17027 C
• 17010 D

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

• 0 A
• 1 B
• 2 C
• 3 D

4/√49 is a

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

• 
  A
• 
  B
• 
  C
• 
  D

Sum of all the four forth roots of unity is

• 1 A
• -1 B
• i C
• 0 D

• 16 A
• 256 B
• 64 C
• 1024 D

• 
  A
• 
  B
• 
  C
• all are correct D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D