ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 2

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 sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b D

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

• 
  A
• 
  B
• 
  C
• 
  D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

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

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

• 4 A
• 3 B
• 2 C
• 1 D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

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

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

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D