ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

i =

• 
  A
• 
  B
• 
  C
• 
  D

The square roots of negative numbers is called

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

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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

The product of complex numbers (a,b) and (c,d) is

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

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

(a,0) x (c,0) =

• (0,ac) A
• (ac,0) B
• (0,0) C
• (a,c) D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

• 15 A
• 15 i B
• -15 i C
• -15 D

6 is

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

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = 1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

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

• 1 A
• -1 B
• 
  C
• 
  D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy) x is the known as

• Imaginary part of complex number A
• Real part of complex number B
• Complex number C
• None of above D

∀a,b, c ε R,a +c = b + c = > a = b

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

The equation |x +4| = x has solution

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

• 
  A
• 1 B
• -1 C
• 
  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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D