ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

Range of cosθis

• 
  A
• 
  B
• 
  C
• 
  D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

• 73 / 120 A
• 83 / 120 B
• 67 / 120 C
• 43 / 120 D

• a cos(ax + b) + c A
• - a cos(ax + b) + c B
• 
  C
• 
  D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

• 1/3 A
• 1 B
• 3 C
• None of these 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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

sin (sin^-1(1/2))=

• 0 A
• 2 B
• ∞ C
• 1/2 D

(ABC)' =

• CBA' A
• CBA B
• C' B' A' C
• None of these D

A dice is rolled. The probability that the dots on the top are greater than 4 is

• 1/6 A
• 1/3 B
• 1/2 C
• 1 D

Domain of cosθis

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

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Period of cot x is ______

• 
  A
• 
  B
• 
  C
• 
  D

The disjunction of two statements p and q, is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

What is the value of cos (cos-1 2) ?

• √2 A
• 1/2 B
• undefine C
• 0 D

If p is false, -p is

• True A
• Not true B
• Equal to p C
• Conjunction D

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C
• Golden rule of fractions D

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D

• 0 A
• 1 B
• -1 C
• None of these D

If all members of a sequence are real numbers then it is called a

• Series A
• Function B
• Real sequence C
• Range 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
• 
  B
• 
  C
• 
  D

arb mean

• a is related to b A
• b is related to a B
• a is reciprocal of b C
• a is not related to b D

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

• S(1) A
• Both a & c B
• S(k) C
• None D