ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

• Associative law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

Every recurring decimal represents

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

6 is

• A prime integer A
• An irrational number B
• A rational number C
• An odd integer D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

Which element is the additive inverse of (a,b) in Complex numbers

• (a,0) A
• (0,b) B
• (a,b) C
• (-a,-b) D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

• a = a A
• a < a B
• a > a C
• a²= a D

0.25 is ______

• An irrational number A
• A natural number B
• A prime number C
• A rational number D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property 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

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D