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

Domain of cot x is ______

• 
  A
• 
  B
• 
  C
• 
  D

Write the first four terms of the sequence if a_n= (-1)ⁿn²

• -1, 4, -9, 16 A
• 1, -4, 9, 16 B
• 1, 4, 9, 16 C
• None of these D

If the trace of matrix A is 5, then the trace of the matrix 3A is

• 3/5 A
• 5/3 B
• 8 C
• 15 D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

If -1 < x < 0, which of the following statements must be true?

• x < x²< x³ A
• x < x³< x² B
• x²< x³< x C
• x²< x < x³ D

(1, 2) is in the solution of the inequality

• 2x + y > 8 A
• 2x + y < 6 B
• 2x - y > 1 C
• 2x + 3y < 2 D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

Any two propositions which is combined by the word "and" and form a compound proposition is called

• conditional of the original proposition A
• consequent of the original proposition B
• disjunction of the original proposition C
• conjunction of the original propositoin D

Z is a group under

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

• 
  A
• 
  B
• 
  C
• 
  D

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

• Skew-symmetric A
• Symmetric B
• Null C
• Diagonal D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

• 
  A
• a = b , h = 0 B
• f = g, h = 0 C
• h = h, c = 0 D

• a²b²c² A
• 4a²b²c² B
• 4abc C
• None D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

The quadratic formula is

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 12 B
• 5 C
• 29 D

Range of secθis

• Z - {x | -1 < x < 1} A
• W - {x | -1 < x < 1} B
• R - {x | -1 < x < 1} C
• R D

• 
  A
• 
  B
• 
  C
• 
  D

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

• pqr A
• 1 B
• pq C
• pqr² D

If a=5j + 2j,b=2i -3j, then|a+2b|=

• √21 A
• √97 B
• √39 C
• None of these D

i³ =

• -1 A
• i B
• -i C
• 1 D

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

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

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

x = ________ is in the solution of 2x - 3 < 0

• 2 A
• -2 B
• 3 C
• 4 D