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

• 
  A
• 
  B
• 
  C
• none of these D

An unbiased die is thrown. Then the probability of getting a prime is

• 1/2 A
• 2/3 B
• 3/4 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The modulus of a vector i-i+ k is:

• √3 A
• 1 B
• √2 C
• ∞ D

If x² + px + 1 is a factor of ax³+ bx +c, then

• a²+ c²= -ab A
• a²- c²= -ab B
• a²- c²= ab C
• None of these D

• A A
• B B
• A'B' C
• B'A D

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

• 
  A
• 
  B
• 
  C
• 
  D

• Three Independent Variables A
• Two independent constant B
• Three independent parameters C
• Three independent constant D

The set { 1 , -1} is closed w.r.t.

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

• 
  A
• 
  B
• 
  C
• none of these D

1.4142135... is ______

• A natural number A
• A rational number B
• A prime number C
• An irrational number D

• 
  A
• 
  B
• 
  C
• all are correct D

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

• 
  A
• 
  B
• 
  C
• 
  D

There are 50 students in a class out of these 38 used desktop computers, 16 out of these used laptop. It is noted that five student neither use laptop or computer. The students having both laptop and computer are A. Based on the information find out the greatest value of A

• 36 A
• 4 B
• 16 C
• 30 D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

x = _________ is in the solution of 2x + 3 < 0

• 0 A
• 2 B
• -1 C
• -2 D

d/dx [tan² x]

• 2tan x sec² x A
• 2tan x sec x B
• 2 cot x tan x C
• 2sec² x cos² x D

The set of all points in the plane that are equally distant from a fixed point is called a

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

• 
  A
• 
  B
• 
  C
• 
  D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

• 1 A
• 7 B
• 4 C
• None of these D

• zero at x A
• differentiable at x B
• continuous at x C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The proposition S(k+1) is true when ______ is true∀K∈N

• S(n) A
• S(k) B
• S(1) C
• S(k-1) D

∱(x) = ax²-3x -5, and∱¹ (2) = 9, a is equal to

• 2 A
• 3 B
• -2 C
• 4 D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x +4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D