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

Vector i =

• [1,0] A
• [0,1,0] B
• [0,0,1] C
• None of these D

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

• 1,2 A
• -1,-2 B
• 2,-1 C
• -2,1 D

A sequence whose reciprocal is an A.P is called

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

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =

• 5 A
• 3 B
• 9 C
• 7 D

A matrix with a single row is called a

• Column matrix A
• Row matrix B
• Null matrix C
• Identity matrix D

• (x³- 3x²)⁸+ c A
• 
  B
• 
  C
• 3x²- 6x + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 1 A
• 2 B
• 3 C
• 4 D

The cartesian system of coordinates was introduced by:

• Eulaer A
• Euclid B
• Descrates C
• Maclream D

ax+by+c = 0, represent a

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

• Free vector A
• Null vector B
• Unit vector C
• None of these D

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

• 8 A
• 4 B
• -4 C
• 8 D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

• 4/63 A
• 5/9 B
• 45/49 C
• None of these D

• An upper triangular matrix A
• A lower triangular matrix B
• A diagonal matrix C
• A null matrix D

For an A.P common difference d

• Can be zero A
• May or may not zero B
• Cannot be zero C
• None of these D

• 
  A
• 
  B
• 0 C
• 1 D

The sum of the coefficient in the expansion of (a + x)⁵is

• 32 A
• 16 B
• 8 C
• 5 D

• 0 A
• 8 B
• 5 C
• 9 D

• -3 A
• -7 B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

Domain of cosθis

• Set of odd numbers A
• Set of integers B
• Set of real numbers C
• Set of complex numbers 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

If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =

• bx A
• b-y B
• a-x C
• x D

A matrix in which the number of rows is not equal to the number of columns is called a

• Diagonal matrix A
• Rectangular matrix B
• Square matrix C
• Scalar matrix D

• 
  A
• 
  B
• 
  C
• 
  D

If∱(x) = 2x³ + 1 then∱¹(0) =

• 0 A
• 1 B
• 6 C
• None of these D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D