ECAT Mathematics MCQ's Test For Full Book

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

The number of non zero rows in echelon form of a matrix is called

• Order of matrix A
• Rank of matrix B
• Row operation C
• None of these D

A sequence is a functions whose domain is a subset of the set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Rational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

• k=0 A
• k=1 B
• k=w C
• k=w2 D

• 
  A
• 
  B
• 
  C
• 
  D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

If uv= Projuv then

• Uandvare parallel A
• vis a unit vector B
• Uis a unit vector C
• Both b and c 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

• 
  A
• 
  B
• 
  C
• 
  D

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

• ay2 +2by+c=0 A
• ay2+2by+4c=0 B
• ay2+2by+c=0 C
• ay2+by+4c=0 D

The magnitude of vector a=i-3j+5k is:

• 3 A
• √35 B
• √17 C
• √35 D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

• 1 x 1 A
• 1 x 10 B
• 10 x 10 C
• 10 x 1 D

If n∈Z+ then(a+x)n is a/an

• Finite series A
• Convergent series B
• Infinite series C
• Divergent series D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

• 2, 8 A
• 1, 3 B
• 1, 8 C
• 2, 3 D

• 1 A
• 0 B
• -2 C
• 3 D

Which of the following us a scalar

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

The points (3,1), (-2,-3) and (2,2) are the vertices of :

• Equilateral triangle A
• Isosceles triangle B
• right -angled triangle C
• rhombus D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

• 1 A
• 0 B
• 4 C
• None of these D

A conjunction is considered to he true only if both its components are

• false A
• equilvalent B
• equal C
• true D

The value of 150^ο in term of π is

• 2π/5
  A
• 5π/2 B
• 3π/2 C
• 2550/32401π 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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

• 
  A
• 
  B
• 
  C
• 
  D