ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 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

i³ =

• -1 A
• i B
• -i C
• 1 D

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• 
  A
• 1 B
• 
  C
• -1 D

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

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

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition D

• 15 A
• 15 i B
• -15 i C
• -15 D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

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

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i 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

• N A
• r B
• 2r C
• π D

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist 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

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

Gooch crucible is made of :

• Brass. A
• Porcelain. B
• Bronze. C
• Gold. D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D