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

For n€ N,2^n>2 > n is to only when

• n<2 A
• n≤ 4 B
• n≥ 4 C

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

u,v,wand u x (v.w) are

• Equal A
• Parallel B
• Additive immense of each other C
• Meaningless D

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

• 0 A
• 1 B
• 2 C
• 3 D

The square matrix A is skew-symmetric when At=

• -B A
• -C B
• -A C
• -D D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• None of these D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 0 A
• 20 B
• 90 C
• 80 D

Deductive logic in which every statement is regarded as true or false and there is no other possibility is called

• deductive logic A
• inductive logic B
• Aristolian logic C
• non-Aristolian logic D

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

• additive identity A
• assoclative property B
• commulative property C
• closure property D

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

If a, b, c are the measures of the sides of a triangle then

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1, 1/2, 0 A
• 1, 2, 1 B
• 1, 2, 3 C
• 1, 2, 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• Lies between 4 and 7 A
• Lies between 5 and 9 B
• Has no value between 4 and 7 C
• Has no value between 5 and 9 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

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

• A is sub-event of B A
• A and B are mutually exclusive B
• A and B are independent and P(A/B) = 3/4 C
• None of these D

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

• 1 / 500 A
• 1 / 504 B
• 1 / 252 C
• 1 / 250 D

A sequence having no last term is called

• arithmetic sequence A
• Geometric sequence B
• Finite sequence C
• Infinite sequence D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

• Addition A
• Subtraction B
• Multiplication C
• Division D

• 
  A
• 
  B
• 
  C
• 
  D

√2 is a number

• Rational A
• Irrational B
• Even C
• Odd D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

d/dx (cos x²) =

• -2x cos x A
• -2x sin x² B
• -2x tan x C
• -2x sec² x D