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

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

• 375 A
• 500 B
• 625 C
• 150 D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

• 8 A
• 1/8 B
• 1/3 C
• 2/3 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = 1 is

• identity function A
• constant function B
• linear function C
• quadratic function D

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

• 1 and 3 A
• 1 and 4 B
• 1 and 2 C
• 2 and 3 D

• 
  A
• 
  B
• 
  C
• 
  D

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

• 
  A
• 
  B
• 
  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

f(x) = 2^x+ 3 . 2^2x+ 5 is

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

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

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

• 
  A
• 
  B
• 
  C
• 
  D

A number A is called the arithmetic mean between a and b if a, A, b is ______

• Arithmetic sequence A
• Geometric sequence B
• Harmonic sequence C
• Arithmetic sequence D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

An indicated sum of terms of a sequence is represented by

• Sn A
• an B
• S(n) C
• {Sn} D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

if tanθ = 8/15 and cosθ< 0 , then cscθ =

• -8/15 A
• 15/8 B
• 3/15 C
• -17/8 D

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² 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

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

If for the matrix A,A5 = 1,then A-1=

• A2 A
• A3 B
• A C
• None of above D

A diagonal matrix in which the diagonal elements are equal is called a

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

The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:

• Square A
• rhombus B
• Parallelogram C
• rectangel D

If a polynomial p(x) is divided by x-c, then the remainder is

• p(x) A
• x-c B
• c C
• P(c) D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 405 / 256 A
• 504 / 259 B
• 450 / 263 C
• None D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D