ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

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

6 is

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

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

What is the conjugate of -7 -2i ?

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

• Rational A
• Irrational B
• Natural C
• Odd D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist 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
• 0 and 1 C
• None of thes D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 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
• 
  C
• 
  D