ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

• 1 A
• -i B
• i C
• 0 D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse C
• Additive identity D

• 0 A
• 1 B
• -1 C
• None of these D

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

• 15 A
• 15 i B
• -15 i C
• -15 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

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

• 
  A
• 
  B
• 
  C
• 
  D

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

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

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

1/3 is ______

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

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

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

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

• additive property A
• multiplicative property B
• additive identity C
• multiplicative identity D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

a >b ⇒a +c >b +c is known as

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

• 
  A
• 
  B
• 
  C
• 
  D