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

Onto function is also called

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

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

The multiplicative inverse of -1 in the set {1-,1} is

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

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

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

• 0 A
• 1 B
• 2 C
• 3 D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

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

• 
  A
• 
  B
• 
  C
• 
  D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

• 4 A
• 3 B
• 2 C
• 1 D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection 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

A statement which is either true or false is called

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

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

• A onto B A
• both a & c B
• A into B C
• none of these D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

• n(A) A
• n(B) B
• 0 C
• 1 D

• An empty set A
• Universal set B
• A singleton set C
• None of these 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

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

• 
  A
• 
  B
• 
  C
• 
  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

Additive inverse of -a -b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  C
• 
  D