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

2x + 3y > 4 is a linear inequality in

• one variable A
• two variables B
• three variables C
• none of these D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

• 9/4 A
• 4/9 B
• 1 C
• None of these D

If a polynomial P(x) is divided by x + a, then the remiander is

• P(a) A
• P(-a) B
• P(0) C
• None of these D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

The 5th term of (3a-2b) ^-1 is

• 77b²/a⁵ A
• 16b² /243 a⁵ B
• 17b⁴/43a⁵ C
• 25b³/43a⁵ D

Domain of tangent function is

• 
  A
• 
  B
• 
  C
• 
  D

QUQ, =

• N A
• R B
• W C
• Z D

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

• -i -15j A
• i-15j B
• i-3j C
• None of these D

• 1 A
• 0 B
• cx C
• c D

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density D

All men are mortal. We are men, therefore, we are also mortal. This is a useful example of

• deduction A
• induction B
• conjunction C
• disjunction D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/2 A
• 2 B
• 1/4 C
• 4 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

The set {1,-1,i,-i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

The area between the x-axis the curve y =4x-x2 is :

• 32/2 A
• 15 B
• 18 C
• 21 D

• 
  A
• 
  B
• x²+ 2x + c C
• (x²+ 2x -1)⁴+ 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

Such a function which is (1 -1) is called

• surjective A
• injuctive B
• bijective C
• into D

The positive real number which is the measure of the length of a vector is called the

• Unit vector A
• Modulus B
• Inverse C
• None of these D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle D

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

• 
  A
• 
  B
• 
  C
• 
  D

• trigonometric equation A
• conditional equation B
• identity C
• None D

• 
  A
• 
  B
• In f(x) + c C
• f(x) - c D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

The square matrix A is skew Hermitian when (A)'=

• A A
• A' B
• -A C
• A D

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D