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
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

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

• 
  A
• 
  B
• 
  C
• None of these D

Geometrically the modulus of a complex number represents its distance from the

• Point (1,0) A
• Point (0,1) B
• Point (1,1) C
• Point (0,0) D

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

Every real number is

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

The square roots of negative numbers is called

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

Every recurring decimal represents

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

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number 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

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

• √3 i A
• √7 B
• -2-i C
• √5 D

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

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