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

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

Area ofΔABC=

• ab sinα A
• 1/2 ab sinα B
• 1/2 ac sinγ C
• 1/2 ac sinβ D

The fifth term of the sequence a_n= 2n + 3 is ______

• 13 A
• -13 B
• 8 C
• 3 D

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

• 
  A
• 
  B
• 
  C
• 
  D

• A = x, B = 1 A
• A = 0, B = 2 B
• A = -1, B = 1 C
• A = x-1, B = x + 1 D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

The transport of a rectangular matrix is a

• Square matrix A
• Rectangular matrix B
• Row matrix C
• Column matrix D

Number of selections of n different things out of n

• 1 A
• nPr B
• n! C
• nPr D

Arithmetic mean between 14 and 18 is

• 16 A
• 17 B
• 15 C
• 32 D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

Period of Cotangent function is

• π A
• -π B
• 0 C
• -2π D

x²+ x - 5 = 0 is

• A polynomial A
• An inequality B
• An identity C
• None D

the value of 25π/36 in degrees is

• 120^ο
  A
• 125^ο B
• 60^ο C
• 115^ο D

d/dx(x³ + 2x +3)=

• x² + 2 A
• 3x + 2 B
• 3x² + 5 C
• 3x2 + 2 D

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

• False A
• Equivalent B
• Equal C
• True 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

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

Number of combination of zero or more things out of n different things

• nPn A
• nPr B
• nCr C
• 2n D

• 3/8 A
• 7/8 B
• 1/8 C
• None D

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

• 69° A
• 66° B
• 60° C
• 63° D

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

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

If A = |aij| is (m x n) matrix then transpose of A is of the order

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

If A is an event then which of the following is true

• P(A)<0 A
• 0≥P(A)≤1 B
• P(A)>0 C
• None D

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

• Real and negative A
• Non-real with negative real parts B
• Real and positive C
• Nothing can be said D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

• 
  A
• 
  B
• 
  C
• 
  D

Which is the proper rational function

• 
  A
• 
  B
• 
  C
• 
  D